%                                                         
% CCA Bibliography on                                     
% Constructivity, Computability and Complexity in Analysis
%                                                         
% http://cca-net.de/                                      
%	                                                        
% Last updated on 17 January 2024                              
%	                                                        
% (c) 2000-2024 Vasco Brattka                   
%                                                         

@article{AAFHS99,
   author = {Aps{\={\i}}tis, Kalvis and Arikawa, Setsuo and Freivalds, R{\=u}si{\c{n}}{\v{s}} and Hirowatari, Eiju and Smith, Carl H.},
   title = {On the inductive inference of recursive real-valued functions},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {3--17},
}

@incollection{AB14,
   author = {Avigad, Jeremy and Brattka, Vasco},
   title = {Computability and analysis: the legacy of {A}lan {T}uring},
   editor = {Downey, Rod},
   booktitle = {Turing's Legacy: Developments from Turing's Ideas in Logic},
   series = {Lecture Notes in Logic},
   volume = {42},
   publisher = {Cambridge University Press},
   address = {Cambridge, UK},
   year = {2014},
   pages = {1--47},
   doi = {10.1017/CBO9781107338579.002},
}

@incollection{ABC+17,
   author = {Ambaram, T{\^a}nia and Beggs, Edwin and Costa, Jos{\'e} F{\'e}lix and Po{\c{c}}as, Diogo and Tucker, John V},
   title = {An analogue-digital model of computation: {T}uring machines with physical oracles},
   booktitle = {Advances in Unconventional Computing},
   publisher = {Springer},
   year = {2017},
   pages = {73--115},
}

@article{ABDP23,
   author = {Allender, Eric and Balaji, Nikhil and Datta, Samir and Pratap, Rameshwar},
   title = {On the complexity of algebraic numbers, and the bit-complexity of straight-line programs},
   journal = {Computability},
   volume = {12},
   number = {2},
   year = {2023},
   pages = {145--173},
   doi = {10.3233/COM-220407},
}

@article{Abe68,
   author = {Aberth, Oliver},
   title = {Analysis in the Computable Number Field},
   journal = {Journal of the Association for Computing Machinery},
   volume = {15},
   year = {1968},
   pages = {275--299},
}

@article{Abe69,
   author = {Aberth, Oliver},
   title = {A Chain of Inclusion Relations in Computable Analysis},
   journal = {Proceedings of the American Mathematical Society},
   volume = {22},
   year = {1969},
   pages = {539--548},
}

@inproceedings{Abe70,
   author = {Aberth, Oliver},
   title = {Computable analysis and differential equations},
   editor = {Kino, A. and Myhill, J. and Vesley, R.E.},
   booktitle = {Intuitionism and Proof Theory},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1970},
   pages = {47--52},
   note = {Proc. of the Summer Conf. at Buffalo N.Y. 1968},
}

@article{Abe71,
   author = {Aberth, Oliver},
   title = {The failure in computable analysis of a classical existence theorem for differential equations},
   journal = {Proceedings of the American Mathematical Society},
   volume = {30},
   year = {1971},
   pages = {151--156},
}

@book{Abe80,
   author = {Aberth, Oliver},
   title = {Computable Analysis},
   publisher = {McGraw-Hill},
   address = {New York},
   year = {1980},
}

@proceedings{ABEH13,
   title = {Special Issue for the Conference Computability and Complexity in Analysis ({CCA} 2011)},
   editor = {Archibald, Margaret and Brattka, Vasco and Escard{\'o}, Mart{\'\i}n and Hertling, Peter},
   series = {Logical Methods in Computer Science},
   year = {2013},
   note = {Cape Town, South Africa, January 31-February 4, 2011},
   doi = {10.2168/LMCS-CCA:2011},
}

@article{ABH08,
   author = {Archibald, Margaret and Brattka, Vasco and Heuberger, Clemens},
   title = {Randomness with respect to the Signed-Digit Representation},
   journal = {Fundamenta Informaticae},
   volume = {83},
   number = {1--2},
   year = {2008},
   pages = {1--19},
}

@inproceedings{ABHK04,
   author = {Akama, Yohji and Berardi, Stefano and Hayashi, Susumu and Kohlenbach, Ulrich},
   title = {An arithmetical hierarchy of the law of excluded middle and related principles},
   booktitle = {Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science (LICS 2004)},
   publisher = {IEEE Computer Society Press},
   year = {2004},
   pages = {192--201},
   doi = {10.1109/LICS.2004.1319613},
}

@article{ABS14,
   author = {Allen, Kelty and Bienvenu, Laurent and Slaman, Theodore A.},
   title = {On zeros of {M}artin-{L}\"of random {B}rownian motion},
   journal = {Journal of Logic and Analysis},
   volume = {6},
   year = {2014},
   pages = {Paper 9, 34},
   doi = {10.4115/jla.2014.6.9},
}

@article{AD02,
   author = {van Atten, Mark and van Dalen, Dirk},
   title = {Arguments for the Continuity Principle},
   journal = {Bulletin of Symbolic Logic},
   volume = {8},
   number = {3},
   year = {2002},
   pages = {329--347},
}

@phdthesis{AdA20,
   author = {Angl{\`e}s d'Auriac, Paul-Elliot},
   title = {Infinite Computations in Algorithmic Randomness and Reverse Mathematics},
   school = {Universit{\'e} Paris-Est},
   year = {2020},
}

@article{ADK21,
   author = {Angl{\`e}s d'Auriac, Paul-Elliot and Kihara, Takayuki},
   title = {A Comparison of Various Analytic Choice Principles},
   journal = {The Journal of Symbolic Logic},
   volume = {86},
   number = {4},
   year = {2021},
   pages = {1452--1485},
   doi = {10.1017/jsl.2021.37},
}

@article{Adl69,
   author = {Adler, Andrew},
   title = {Some recursively unsolvable problems in analysis},
   journal = {Proceedings of the American Mathematical Society},
   volume = {22},
   year = {1969},
   pages = {523--526},
}

@inproceedings{ADM08,
   author = {Andreev, Valentin V. and Daniel, Dale and McNicholl, Timothy H.},
   title = {Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {127--139},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{ADR12,
   author = {Avigad, Jeremy and Dean, Edward T. and Rute, Jason},
   title = {Algorithmic randomness, reverse mathematics, and the dominated convergence theorem},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {12},
   year = {2012},
   pages = {1854--1864},
   doi = {10.1016/j.apal.2012.05.010},
}

@article{ADR12a,
   author = {Avigad, Jeremy and Dean, Edward T. and Rute, Jason},
   title = {A metastable dominated convergence theorem},
   journal = {J. Log. Anal.},
   volume = {4},
   year = {2012},
   pages = {Paper 3, 19},
   doi = {10.4115/jla.2012.4.3},
}

@inproceedings{AFR11,
   author = {Ackerman, Nathanael L. and Freer, Cameron E. and Roy, Daniel M.},
   title = {Noncomputable conditional distributions},
   booktitle = {26th {A}nnual {IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience---{LICS} 2011},
   publisher = {IEEE Computer Soc., Los Alamitos, CA},
   year = {2011},
   pages = {107--116},
}

@article{AFR17,
   author = {Ackerman, Nathanael L. and Freer, Cameron E. and Roy, Daniel M.},
   title = {On computability and disintegration},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1287--1314},
   doi = {10.1017/S0960129516000098},
}

@article{AFR19,
   author = {Ackerman, Nathanael L. and Freer, Cameron E. and Roy, Daniel M.},
   title = {On the Computability of Conditional Probability},
   journal = {Journal of the ACM},
   volume = {66},
   number = {3},
   publisher = {ACM},
   address = {New York, NY, USA},
   year = {2019},
   month = jun,
   pages = {23:1--23:40},
   doi = {10.1145/3321699},
}

@article{AGT10,
   author = {Avigad, Jeremy and Gerhardy, Philipp and Towsner, Henry},
   title = {Local stability of ergodic averages},
   journal = {Transactions of the American Mathematical Society},
   volume = {362},
   year = {2010},
   pages = {261--288},
   doi = {10.1090/S0002-9947-09-04814-4},
}

@inproceedings{AH22a,
   author = {Amir, Djamel Eddine and Hoyrup, Mathieu},
   title = {Computability of Finite Simplicial Complexes},
   editor = {Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.},
   booktitle = {49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {229},
   publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2022},
   pages = {111:1--111:16},
   doi = {10.4230/LIPIcs.ICALP.2022.111},
}

@article{AH23a,
   author = {Amir, Djamel Eddine and Hoyrup, Mathieu},
   title = {Strong computable type},
   journal = {Computability},
   volume = {12},
   number = {3},
   year = {2023},
   pages = {227--269},
   doi = {10.3233/com-220430},
}

@inproceedings{AI05,
   author = {Akama, Yohji and Iizuka, Shinji},
   title = {Real number representations of graph-directed {IFS} attractors},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {3--24},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@article{Aka04,
   author = {Akama, Yohji},
   title = {Limiting partial combinatory algebras},
   journal = {Theoretical Computer Science},
   volume = {311},
   year = {2004},
   pages = {199--220},
}

@article{AM10,
   author = {Andreev, Valentin V. and McNicholl, Timothy H.},
   title = {Computing Interpolating Sequences},
   journal = {Theory of Computing Systems},
   volume = {46},
   number = {2},
   year = {2010},
   pages = {340--350},
   doi = {10.1007/s00224-008-9140-z},
}

@article{AM11,
   author = {Andreev, Valentin V. and McNicholl, Timothy H.},
   title = {Estimating the error in the {K}oebe construction},
   journal = {Computational Methods and Function Theory},
   volume = {11},
   number = {2},
   year = {2011},
   pages = {707--724},
   doi = {10.1007/BF03321883},
}

@article{AM12,
   author = {Andreev, Valentin V. and McNicholl, Timothy H.},
   title = {Computing conformal maps of finitely connected domains onto canonical slit domains},
   journal = {Theory of Computing Systems},
   volume = {50},
   number = {2},
   year = {2012},
   pages = {354--369},
   doi = {10.1007/s00224-010-9305-4},
}

@incollection{AM21,
   author = {Andreev, Valentin V. and McNicholl, Timothy H.},
   title = {Computable Complex Analysis},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {101--140},
   doi = {10.1007/978-3-030-59234-9_4},
}

@article{AMBJL13,
   author = {Ariza-Ruiz, David and Martol Briseid, Eyvind and Jim{\'e}nez-Melado, Antonio and L{\'o}pez-Acedo, Genaro},
   title = {Rate of convergence under weak contractiveness conditions},
   journal = {Fixed Point Theory},
   volume = {14},
   number = {1},
   year = {2013},
   pages = {11--27},
}

@phdthesis{Ami23,
   author = {Amir, Djamel Eddine},
   title = {Computability of Topological Spaces},
   school = {Universit{\'{e}} de Lorraine},
   year = {2023},
}

@article{Anb10,
   author = {Anberr{\'e}e, Thomas},
   title = {Semantical proofs of correctness for programs performing non-deterministic tests on real numbers},
   journal = {Math. Structures Comput. Sci.},
   volume = {20},
   number = {5},
   year = {2010},
   pages = {723--751},
   doi = {10.1017/S0960129510000186},
}

@article{Anb13,
   author = {Anberr{\'e}e, Thomas},
   title = {First-order universality for real programs},
   journal = {J. Logic Comput.},
   volume = {23},
   number = {4},
   year = {2013},
   pages = {729--751},
   doi = {10.1093/logcom/exr044},
}

@article{AP11,
   author = {Ali-Akbari, Mahdi and Pourmahdian, Massoud},
   title = {Computational Models of Certain Hyperspaces of Quasi-metric Spaces},
   journal = {Logical Methods in Computer Science},
   volume = {7},
   year = {2011},
   pages = {4:1, 25},
   doi = {10.2168/LMCS-7(4:1)2011},
}

@article{AR12,
   author = {Ardeshir, Mohammad and Ramezanian, Rasoul},
   title = {On the constructive notion of closure maps},
   journal = {MLQ Math. Log. Q.},
   volume = {58},
   number = {4-5},
   year = {2012},
   pages = {348--355},
   doi = {10.1002/malq.201110040},
}

@article{AR15,
   author = {Avigad, Jeremy and Rute, Jason},
   title = {Oscillation and the mean ergodic theorem for uniformly convex {B}anach spaces},
   journal = {Ergodic Theory and Dynamical Systems},
   volume = {35},
   number = {4},
   year = {2015},
   pages = {1009--1027},
   doi = {10.1017/etds.2013.90},
}

@article{AS06,
   author = {Avigad, Jeremy and Simic, Ksenija},
   title = {Fundamental notions of analysis in subsystems of second-order arithmetic},
   journal = {Annals of Pure and Applied Logic},
   volume = {139},
   year = {2006},
   pages = {138--184},
}

@incollection{AS21,
   author = {Alaev, Pavel and Selivanov, Victor},
   title = {Complexity issues for the iterated {$h$}-preorders},
   booktitle = {Descriptional complexity of formal systems},
   series = {Lecture Notes in Comput. Sci.},
   volume = {13037},
   publisher = {Springer, Cham},
   year = {2021},
   pages = {1--12},
   doi = {10.1007/978-3-030-93489-7\_1},
}

@article{AS21a,
   author = {Alaev, P. E. and Selivanov, V. L.},
   title = {Fields of algebraic numbers computable in polynomial time. {II}},
   journal = {Algebra and Logic},
   volume = {60},
   number = {6},
   year = {2021},
   pages = {349--359},
}

@inproceedings{Avi05,
   author = {Avigad, Jeremy},
   title = {Weak theories of nonstandard arithmetic and analysis},
   editor = {Simpson, Stephen},
   booktitle = {Reverse Mathematics 2001},
   series = {Lecture Notes in Logic},
   publisher = {Association for Symbolic Logic},
   address = {La Jolla},
   year = {2005},
   pages = {19--46},
}

@article{Avi09,
   author = {Avigad, Jeremy},
   title = {The metamathematics of ergodic theory},
   journal = {Annals of Pure and Applied Logic},
   volume = {157},
   number = {2-3},
   year = {2009},
   pages = {64--76},
   doi = {10.1016/j.apal.2008.09.001},
}

@article{Avi12,
   author = {Avigad, Jeremy},
   title = {Inverting the {F}urstenberg correspondence},
   journal = {Discrete Contin. Dyn. Syst.},
   volume = {32},
   number = {10},
   year = {2012},
   pages = {3421--3431},
   doi = {10.3934/dcds.2012.32.3421},
}

@article{Avi12a,
   author = {Avigad, Jeremy},
   title = {Uncomputably noisy ergodic limits},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {53},
   number = {3},
   year = {2012},
   pages = {347--350},
   doi = {10.1215/00294527-1716757},
}

@article{AWZ00,
   author = {Ambos-Spies, Klaus and Weihrauch, Klaus and Zheng, Xizhong},
   title = {Weakly Computable Real Numbers},
   journal = {Journal of Complexity},
   volume = {16},
   number = {4},
   year = {2000},
   pages = {676--690},
}

@phdthesis{Axo10,
   author = {Logan M. Axon},
   title = {Algorithmically random closed sets and probability},
   school = {Department of Mathematics, University of Notre Dame},
   year = {2010},
   note = {{Ph.D.} thesis},
}

@article{Axo15,
   author = {Axon, Logan M.},
   title = {Martin-{L}{\"o}f Randomness in Spaces of Closed Sets},
   journal = {The Journal of Symbolic Logic},
   volume = {80},
   number = {2},
   year = {2015},
   pages = {359--383},
   doi = {10.1017/jsl.2014.76},
}

@article{Axo18,
   author = {Axon, Logan},
   title = {{M}artin-{L}{\"o}f random generalized {P}oisson processes},
   journal = {Annals of Pure and Applied Logic},
   volume = {169},
   number = {4},
   year = {2018},
   pages = {261--276},
   doi = {10.1016/j.apal.2017.12.003},
}

@inproceedings{AZ19,
   author = {Ambos-Spies, Klaus and Zheng, Xizhong},
   title = {On the Differences and Sums of Strongly Computably Enumerable Real Numbers},
   editor = {Manea, Florin and Martin, Barnaby and Paulusma, Dani{\"e}l and Primiero, Giuseppe},
   booktitle = {Computing with Foresight and Industry},
   series = {Lecture Notes in Computer Science},
   volume = {11558},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {310--322},
   note = {15th Conference on Computability in Europe, CiE 2019, Durham, UK, July 15-19, 2019},
   doi = {10.1007/978-3-030-22996-2_27},
}

@article{AZ19a,
   author = {Armstrong, Mark and Zucker, Jeffery},
   title = {Notions of semicomputability in topological algebras over the reals},
   journal = {Computability},
   volume = {8},
   number = {1},
   year = {2019},
   pages = {1--26},
   doi = {10.3233/com-180087},
}

@article{BA99,
   author = {Bedregal, Benjam{\'{\i}}n Ren{\'{e}} Callejas and Aci{\'{o}}ly, Benedito Melo},
   title = {Effectively Given Continuous Domains: A Computable Interval Analysis},
   journal = {Electronic Journal on Mathematics of Computation},
   volume = {0},
   year = {1999},
}

@article{Bae83,
   author = {Baez, J.C.},
   title = {Recursivity in quantum mechanics},
   journal = {Transactions of the American Mathematical Society},
   volume = {280},
   year = {1983},
   pages = {339--350},
}

@article{Bai85,
   author = {Baigger, G{\"u}nter},
   title = {Die {N}ichtkonstruktivit{\"a}t des {B}rouwerschen {F}ixpunktsatzes},
   journal = {Archive for Mathematical Logic},
   volume = {25},
   year = {1985},
   pages = {183--188},
}

@article{Bai99,
   author = {Baire, R.},
   title = {Sur les fonctions des variables reeles},
   journal = {Annali di matematica pura ed applicata},
   series = {3},
   volume = {3},
   year = {1899},
   pages = {1--123},
}

@inproceedings{Bar02,
   author = {Barmpalias, George},
   title = {On $0'$-computable Reals},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{Bar03,
   author = {Barmpalias, George},
   title = {A transfinite hierarchy of reals},
   journal = {Mathematical Logic Quarterly},
   volume = {49},
   number = {2},
   year = {2003},
   pages = {163--172},
}

@article{Bar03a,
   author = {Barmpalias, George},
   title = {The approximation structure of a computably approximable real},
   journal = {The Journal of Symbolic Logic},
   volume = {68},
   number = {3},
   year = {2003},
   pages = {885--922},
}

@article{Bar04,
   author = {Barmpalias, George},
   title = {Approximation representations for reals and their wtt-degrees},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {370--380},
}

@phdthesis{Bar04a,
   author = {Barmpalias, Georgios},
   title = {Computability and Applications to Analysis},
   school = {University of Leeds, School of Mathematics},
   address = {Leeds},
   year = {2004},
}

@article{Bar04b,
   author = {Barmpalias, George},
   title = {Approximation representations for $\Delta_2$ reals},
   journal = {Archive for Mathematical Logic},
   volume = {43},
   number = {8},
   year = {2004},
   pages = {947--964},
}

@article{Bar05,
   author = {Baroni, Marian Alexandru},
   title = {Constructive Suprema},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {1865--1877},
}

@article{Bar06,
   author = {Barmpalias, George},
   title = {Random non-cupping revisited},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {850--857},
}

@inproceedings{Bar09,
   author = {Baroni, Marian Alexandru},
   title = {Towards a good constructive definition of order completeness},
   booktitle = {Proceedings of the {S}ixth {C}ongress of {R}omanian {M}athematicians. {V}ol. 1},
   publisher = {Ed. Acad. Rom\^ane, Bucharest},
   year = {2009},
   pages = {547--550},
}

@incollection{Bar20,
   author = {Barmpalias, George},
   title = {Aspects of {C}haitin's {O}mega},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {175--205},
   doi = {10.1017/9781108781718.007},
}

@inproceedings{Bat08,
   author = {Batra, Prashant},
   title = {Newton's method and the Computational Complexity of the Fundamental Theorem of Algebra},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {201--218},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@phdthesis{Bau00,
   author = {Bauer, Andrej},
   title = {The Realizability Approach to Computable Analysis and Topology},
   school = {School of Computer Science, Carnegie Mellon University},
   address = {Pittsburgh},
   year = {2000},
}

@inproceedings{Bau01,
   author = {Bauer, Andrej},
   title = {A Relationship between Equilogical Spaces and Type Two Effectivity},
   editor = {Brooks, Stephen and Mislove, Michael},
   booktitle = {Seventeenth Conference on the Mathematical Foundations of Programming Semantics},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {45},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2001},
   note = {{MFPS} 2001, Aarhus, Denmark May 23--26, 2001},
}

@article{Bau02,
   author = {Bauer, Andrej},
   title = {A Relationship between Equilogical Spaces and Type Two Effectivity},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {1--15},
}

@article{Bau15,
   author = {Bauer, Andrej},
   title = {An injection from the {B}aire space to natural numbers},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {10},
   pages = {1484--1489},
   doi = {10.1017/S0960129513000406},
}

@article{Bau17,
   author = {Bauer, Andrej},
   title = {Five Stages of Accepting Constructive Mathematics},
   journal = {Bulletin of Symbolic Logic},
   volume = {54},
   number = {3},
   year = {2017},
   pages = {481--498},
   doi = {10.1090/bull/1556},
}

@article{Bau17a,
   author = {Bauer, Andrej},
   title = {On fixed-point theorems in synthetic computability},
   journal = {Tbilisi Mathematical Journal},
   volume = {10},
   number = {3},
   year = {2017},
   pages = {167--181},
   doi = {10.1515/tmj-2017-0107},
}

@article{Bau22,
   author = {Bauer, Andrej},
   title = {Instance reducibility and {W}eihrauch degrees},
   journal = {Logical Methods in Computer Science},
   volume = {18},
   number = {3},
   year = {2022},
   month = Aug,
   pages = {20:1--20:18},
   doi = {10.46298/lmcs-18(3:20)2022},
}

@article{BB06,
   author = {Berger, Josef and Bridges, Douglas S.},
   title = {A bizarre property equivalent to the {$\Pi^0_1$}--fan theorem},
   journal = {Logic Journal of the IGPL},
   volume = {14},
   year = {2006},
   pages = {867--871},
}

@article{BB07,
   author = {Berger, Josef and Bridges, Douglas S.},
   title = {A fan-theoretic equivalent of the antithesis of {S}pecker's theorem},
   journal = {Indagationes Mathematicae},
   volume = {18},
   number = {2},
   year = {2007},
   pages = {195--202},
}

@inproceedings{BB08,
   author = {Baroni, M. A. and Bridges, D. S.},
   title = {Continuity Properties of Preference Relations},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {19--25},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{BB08a,
   author = {Berger, Josef and Bridges, Douglas S.},
   title = {The anti-{S}pecker property, a {H}eine-{B}orel property},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {583--592},
}

@article{BB08b,
   author = {Baroni, Marian A. and Bridges, Douglas S.},
   title = {Continuity properties of preference relations},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {454--459},
}

@article{BB08d,
   author = {Berger, Josef and Bridges, Douglas S.},
   title = {The fan theorem and positive-valued uniformly continuous functions on compact intervals},
   journal = {New Zealand Journal of Mathematics},
   volume = {38},
   year = {2008},
   pages = {129--135},
}

@inproceedings{BB09,
   author = {Binder, Ilia and Braverman, Mark},
   title = {The complexity of simulating {B}rownian motion},
   booktitle = {Proceedings of the {T}wentieth {A}nnual {ACM}-{SIAM} {S}ymposium on {D}iscrete {A}lgorithms},
   publisher = {SIAM},
   address = {Philadelphia, PA},
   year = {2009},
   pages = {58--67},
}

@inproceedings{BB09a,
   author = {Binder, Ilia and Braverman, Mark},
   title = {The Complexity of Simulating {B}rownian Motion},
   booktitle = {Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms},
   series = {SODA '09},
   publisher = {Society for Industrial and Applied Mathematics},
   address = {Philadelphia, PA, USA},
   year = {2009},
   pages = {58--67},
}

@article{BB10,
   author = {Berger, Josef and Bridges, Douglas S.},
   title = {A constructive study of {L}andau's summability theorem},
   journal = {J.UCS},
   volume = {16},
   number = {18},
   year = {2010},
   pages = {2523--2534},
}

@article{BB12,
   author = {Binder, Ilia and Braverman, Mark},
   title = {The rate of convergence of the walk on spheres algorithm},
   journal = {Geom. Funct. Anal.},
   volume = {22},
   number = {3},
   year = {2012},
   pages = {558--587},
   doi = {10.1007/s00039-012-0161-z},
}

@article{BB17,
   author = {Beros, Achilles and Beros, Konstantinos},
   title = {Normal Numbers and Limit Computable {C}antor Series},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {58},
   number = {2},
   year = {2017},
   month = {March},
   pages = {215--220},
   doi = {10.1215/00294527-2017-0004},
}

@inproceedings{BB22,
   author = {Blanc, Manon and Bournez, Olivier},
   title = {A Characterization of Polynomial Time Computable Functions from the Integers to the Reals Using Discrete Ordinary Differential Equations},
   editor = {Durand-Lose, J{\'e}r{\^o}me and Vaszil, Gy{\"o}rgy},
   booktitle = {Machines, Computations, and Universality},
   series = {Lecture Notes in Computer Science},
   volume = {13419},
   publisher = {Springer},
   address = {Cham},
   year = {2022},
   pages = {58--74},
   doi = {10.1007/978-3-031-13502-6_4},
}

@book{BB85,
   author = {Bishop, Errett and Bridges, Douglas S.},
   title = {Constructive Analysis},
   series = {Grundlehren der Mathematischen Wissenschaften},
   volume = {279},
   publisher = {Springer},
   address = {Berlin},
   year = {1985},
}

@article{BBC+07,
   author = {Barmpalias, George and Brodhead, Paul and Cenzer, Douglas and Dashti, Seyyed and Weber, Rebecca},
   title = {Algorithmic Randomness of Closed Sets},
   journal = {Journal of Logic and Computation},
   volume = {17},
   number = {6},
   publisher = {Oxford University Press},
   address = {Oxford, UK},
   year = {2007},
   pages = {1041--1062},
}

@article{BBCRW08,
   author = {Barmpalias, George and Brodhead, Paul and Cenzer, Douglas and Remmel, Jeffrey B. and Weber, Rebecca},
   title = {Algorithmic randomness of continuous functions},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {533--546},
}

@article{BBD23,
   author = {Boche, Holger and B\"{o}ck, Yannik N. and Deppe, Christian},
   title = {On the semidecidability of the remote state estimation problem},
   journal = {IEEE Trans. Automat. Control},
   volume = {68},
   number = {3},
   year = {2023},
   pages = {1708--1714},
   doi = {10.1109/tac.2022.3155382},
}

@proceedings{BBF+17,
   title = {Preface to the special issue: Continuity, Computability, Constructivity: From Logic to Algorithms 2014},
   editor = {Bauer, Andrej and Berger, Ulrich and Fouch{\'e}, Willem and Spreen, Dieter and Tsuiki, Hideki and Ziegler, Martin},
   series = {The Journal of Logic \& Analysis},
   volume = {9},
   year = {2017},
   doi = {10.4115/jla.2017.9.c0},
}

@article{BBGMV04,
   author = {Benci, V. and Bonanno, C. and Galatolo, S. and Menconi, G. and Virgilio, M.},
   title = {Dynamical systems and computable information},
   journal = {Discrete and Continuous Dynamical Systems B},
   volume = {4},
   number = {4},
   year = {2004},
   pages = {935--960},
}

@proceedings{BBH01,
   title = {Computability and Complexity in Analysis},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 17-19, 2000. Selected Papers},
   doi = {10.1007/3-540-45335-0},
}

@proceedings{BBMS12,
   title = {Continuity, Computability, Constructivity: From Logic to Algorithms},
   editor = {Berger, Ulrich and Brattka, Vasco and Morozov, Andrei S. and Spreen, Dieter},
   series = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {8},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2012},
   doi = {10.1016/j.apal.2011.12.019},
}

@article{BBP12,
   author = {Brattka, Vasco and de Brecht, Matthew and Pauly, Arno},
   title = {Closed Choice and a Uniform Low Basis Theorem},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   year = {2012},
   pages = {986--1008},
   doi = {10.1016/j.apal.2011.12.020},
}

@article{BBP12a,
   author = {Berger, Josef and Bridges, Douglas S. and Palmgren, Erik},
   title = {Double sequences, almost {C}auchyness and {BD}-{N}},
   journal = {Log. J. IGPL},
   volume = {20},
   number = {1},
   year = {2012},
   pages = {349--354},
   doi = {10.1093/jigpal/jzr045},
}

@article{BBRY11,
   author = {Binder, Ilia and Braverman, Mark and Rojas, Cristobal and Yampolsky, Michael},
   title = {Computability of {B}rolin-{L}yubich measure},
   journal = {Comm. Math. Phys.},
   volume = {308},
   number = {3},
   year = {2011},
   pages = {743--771},
   doi = {10.1007/s00220-011-1363-1},
}

@proceedings{BBS+15,
   title = {Computing with Infinite Data: Topological and Logical Foundations Part 1},
   editor = {Berger, Ulrich and Brattka, Vasco and Selivanov, Victor and Spreen, Dieter and Tsuiki, Hideki},
   series = {Mathematical Structures in Computer Science},
   volume = {25},
   number = {7},
   publisher = {Cambridge University Press},
   address = {Cambridge},
   year = {2015},
   doi = {10.1017/S0960129513000364},
}

@proceedings{BBS+15a,
   title = {Computing with Infinite Data: Topological and Logical Foundations Part 2},
   editor = {Berger, Ulrich and Brattka, Vasco and Selivanov, Victor and Spreen, Dieter and Tsuiki, Hideki},
   series = {Mathematical Structures in Computer Science},
   volume = {25},
   number = {8},
   publisher = {Cambridge University Press},
   address = {Cambridge},
   year = {2015},
   doi = {10.1017/S0960129513000364},
}

@article{BBS04,
   author = {Bauer, Andrej and Birkedal, Lars and Scott, Dana S.},
   title = {Equilogical spaces},
   journal = {Theoretical Computer Science},
   volume = {315},
   year = {2004},
   pages = {35--59},
}

@article{BBS06,
   author = {Berger, Josef and Bridges, Douglas S. and Schuster, Peter},
   title = {The fan theorem and unique existence of maxima},
   journal = {The Journal of Symbolic Logic},
   volume = {71},
   number = {2},
   year = {2006},
   pages = {713--720},
}

@article{BBY06,
   author = {Binder, I. and Braverman, Mark and Yampolsky, M.},
   title = {On computational complexity of {S}iegel {J}ulia sets},
   journal = {Comm. Math. Phys.},
   volume = {264},
   number = {2},
   year = {2006},
   pages = {317--334},
   doi = {10.1007/s00220-006-1546-3},
}

@article{BBY07,
   author = {Binder, I. and Braverman, M. and Yampolsky, M.},
   title = {Filled {J}ulia sets with empty interior are computable},
   journal = {Foundations of Computational Mathematics},
   volume = {7},
   number = {4},
   year = {2007},
   pages = {405--416},
   doi = {10.1007/s10208-005-0210-1},
}

@article{BBY07a,
   author = {Binder, Ilia and Braverman, Mark and Yampolsky, Michael},
   title = {On the computational complexity of the {R}iemann mapping},
   journal = {Arkiv f\"or Matematik},
   volume = {45},
   number = {2},
   year = {2007},
   pages = {221--239},
   doi = {10.1007/s11512-007-0045-x},
}

@article{BBY12,
   author = {Bonnot, Sylvain and Braverman, Mark and Yampolsky, Michael},
   title = {Thurston equivalence to a rational map is decidable},
   journal = {Mosc. Math. J.},
   volume = {12},
   number = {4},
   year = {2012},
   pages = {747--763, 884},
}

@article{BC06,
   author = {Braverman, Mark and Cook, Stephen A.},
   title = {Computing over the Reals: Foundations for Scientific Computing},
   journal = {Notices of the AMS},
   volume = {53},
   number = {3},
   year = {2006},
   pages = {318--329},
}

@article{BC08,
   author = {Brodhead, Paul and Cenzer, Douglas},
   title = {Effectively closed sets and enumerations},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {565--582},
}

@inproceedings{BC08a,
   author = {Bournez, Olivier and Campagnolo, Manuel L.},
   title = {A survey on continuous time computations},
   booktitle = {New computational paradigms},
   publisher = {Springer},
   address = {New York},
   year = {2008},
   pages = {383--423},
   doi = {10.1007/978-0-387-68546-5_17},
}

@book{BC72,
   author = {Bishop, E. and Cheng, H.},
   title = {Constructive {M}easure {T}heory},
   publisher = {American Mathematical Society},
   address = {Providence},
   year = {1972},
}

@inproceedings{BC90,
   author = {Boehm, Hans and Cartwright, Robert},
   title = {Exact real arithmetic, formulating real numbers as functions},
   editor = {Turner, D.},
   booktitle = {Research topics in functional programming},
   publisher = {Addison-Wesley},
   year = {1990},
   pages = {43--64},
}

@inproceedings{BCD06,
   author = {Brodhead, Paul and Cenzer, Douglas and Dashti, Seyyed},
   title = {Random Closed Sets},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {55--64},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@article{BCG+17,
   author = {Brattka, Vasco and Cettolo, Andrea and Gherardi, Guido and Marcone, Alberto and Schr{\"o}der, Matthias},
   title = {Addendum to: ``{T}he {B}olzano-{W}eierstrass Theorem is the Jump of Weak {K}{\H{o}}nig's Lemma''},
   journal = {Annals of Pure and Applied Logic},
   volume = {168},
   number = {8},
   year = {2017},
   pages = {1605--1608},
   doi = {10.1016/j.apal.2017.04.004},
}

@inproceedings{BCGH06,
   author = {Bournez, Olivier and Campagnolo, Manuel L. and Gra{\c{c}}a, Daniel S. and Hainry, Emmanuel},
   title = {The general purpose analog computer and computable analysis are two equivalent paradigms of analog computation},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {3959},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {631--643},
   doi = {10.1007/11750321_60},
}

@article{BCGH07,
   author = {Bournez, Olivier and Campagnolo, Manuel L. and Gra{\c{c}}a, Daniel S. and Hainry, Emmanuel},
   title = {Polynomial differential equations compute all real computable functions on computable compact intervals},
   journal = {Journal of Complexity},
   volume = {23},
   number = {3},
   year = {2007},
   pages = {317--335},
}

@article{BCH21,
   author = {Bienvenu, Laurent and Csima, Barbara F. and Harrison-Trainor, Matthew},
   title = {Some questions of uniformity in algorithmic randomness},
   journal = {The Journal of Symbolic Logic},
   volume = {86},
   number = {4},
   year = {2021},
   pages = {1612--1631},
   doi = {10.1017/jsl.2021.58},
}

@inproceedings{BCJMR81,
   author = {Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray and Richman, Fred},
   title = {Locating metric complements in {R}$^n$},
   editor = {Richman, F.},
   booktitle = {Constructive Mathematics},
   series = {Lecture Notes in Mathematics},
   volume = {873},
   year = {1981},
   pages = {241--249},
   note = {Proc. New Mexico State Univ. Conf., Aug. 11--15, 1980, Las Cruces, NM},
}

@article{BCJMR81a,
   author = {Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray and Richman, Fred},
   title = {Bounded linear mappings of finite rank},
   journal = {Journal of Functional Analysis},
   volume = {43},
   number = {2},
   year = {1981},
   pages = {143--148},
}

@article{BCJMR82,
   author = {Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray and Richman, Fred},
   title = {Picard's theorem},
   journal = {Transactions of the American Mathematical Society},
   volume = {269},
   number = {2},
   year = {1982},
   pages = {513--520},
}

@article{BCPS99,
   author = {Bridges, D. S. and Calude, C. and Pavlov, B. and {\c{S}}tef{\u{a}}nescu, D.},
   title = {The constructive implicit function theorem and applications in mechanics},
   journal = {Chaos, Solitons and Fractals},
   volume = {10},
   number = {6},
   year = {1999},
   pages = {927--934},
}

@article{BCPT17,
   author = {Beggs, Edwin and Costa, Jos{\'e} F{\'e}lix and Po{\c{c}}as, Diogo and Tucker, John V.},
   title = {Computations with oracles that measure vanishing quantities},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1315--1363},
   doi = {10.1017/S0960129516000219},
}

@inproceedings{BCR07,
   author = {Brodhead, Paul and Cenzer, Douglas and Remmel, Jeffrey B.},
   title = {Random Continuous Functions},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@proceedings{BCR09,
   title = {Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Collins, Pieter and Rettinger, Robert},
   series = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   publisher = {Graz University of Technology},
   address = {Graz},
   year = {2009},
   note = {Selected Papers of the Fifth International Conference on Computability and Complexity in Analysis, August 21-24, 2008, Hagen, Germany},
   doi = {10.3217/jucs-015-06},
}

@inproceedings{BCRW07,
   author = {Barmpalias, George and Cenzer, Douglas and Remmel, Jeffrey B. and Weber, Rebecca},
   title = {K-Trivial Closed Sets and Continuous Functions},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {135--145},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{BCRW09,
   author = {Barmpalias, George and Cenzer, Douglas and Remmel, Jeffrey B. and Weber, Rebecca},
   title = {K-Triviality of Closed Sets and Continuous Functions},
   journal = {Journal of Logic and Computation},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {3--16},
}

@article{BCT14,
   author = {Beggs, Edwin and Costa, Jos\'{e} F\'{e}lix and Tucker, J. V.},
   title = {Three Forms of Physical Measurement and their Computability},
   journal = {The Review of Symbolic Logic},
   volume = {7},
   number = {4},
   year = {2014},
   pages = {618--646},
   doi = {10.1017/S1755020314000240},
}

@article{BCTW11,
   author = {Brodhead, Paul and Cenzer, Douglas and Toska, Ferit and Wyman, Sebastian},
   title = {Algorithmic randomness and capacity of closed sets},
   journal = {Log. Methods Comput. Sci.},
   volume = {7},
   number = {3},
   year = {2011},
   pages = {3:16, 16},
}

@inproceedings{BCZ22,
   author = {Brau{\ss}e, Franz and Collins, Pieter and Ziegler, Martin},
   title = {Computer Science for Continuous Data},
   editor = {Boulier, Fran{\c{c}}ois and England, Matthew and Sadykov, Timur M. and Vorozhtsov, Evgenii V.},
   booktitle = {Computer Algebra in Scientific Computing},
   publisher = {Springer},
   address = {Cham},
   year = {2022},
   pages = {62--82},
   doi = {10.1007/978-3-031-14788-3_5},
}

@article{BD00,
   author = {Bridges, Douglas S. and Dediu, Lumini{\c{t}}a},
   title = {The weak-operator sequential continuity of left multiplication},
   journal = {Indagationes Mathematicae},
   volume = {11},
   number = {1},
   year = {2000},
   pages = {39--42},
}

@article{BD05,
   author = {Brattka, Vasco and Dillhage, Ruth},
   title = {Computability of the Spectrum of Self-Adjoint Operators},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {1884--1900},
   doi = {10.3217/jucs-011-12-1884},
}

@article{BD06a,
   author = {Bridges, Douglas S. and Diener, Hannes},
   title = {A constructive treatment of {U}rysohn's {L}emma in an apartness space},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {5},
   year = {2006},
   pages = {464--469},
}

@inproceedings{BD07,
   author = {Brattka, Vasco and Dillhage, Ruth},
   title = {On Computable Compact Operators on {B}anach Spaces},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {365--386},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{BD07a,
   author = {Brattka, Vasco and Dillhage, Ruth},
   title = {On Computable Compact Operators on Computable {B}anach Spaces with Bases},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {345--364},
}

@article{BD07b,
   author = {Bridges, Douglas S. and Diener, Hannes},
   title = {The pseudocompactness of {$[0,1]$} is equivalent to the uniform continuity theorem},
   journal = {The Journal of Symbolic Logic},
   volume = {72},
   number = {4},
   year = {2007},
   pages = {1379--1384},
   doi = {10.2178/jsl/1203350793},
}

@article{BD10,
   author = {Bridges, Douglas S. and Diener, Hannes},
   title = {The anti-{S}pecker property, positivity, and total boundedness},
   journal = {Mathematical Logic Quarterly},
   volume = {56},
   number = {4},
   year = {2010},
   pages = {434--441},
}

@article{BD10a,
   author = {Brattka, Vasco and Dillhage, Ruth},
   title = {Computability of finite-dimensional linear subspaces and best approximation},
   journal = {Annals of Pure and Applied Logic},
   volume = {162},
   year = {2010},
   pages = {182--193},
}

@incollection{BD19,
   author = {Bournez, Olivier and Durand, Arnaud},
   title = {Recursion schemes, discrete differential equations and characterization of polynomial time computations},
   booktitle = {44th {I}nternational {S}ymposium on {M}athematical {F}oundations of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {138},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2019},
   pages = {Art. No. 23, 14},
}

@inproceedings{BD20,
   author = {Boche, H. and Deppe, C.},
   title = {Computability of the Zero-Error Capacity with {K}olmogorov Oracle},
   booktitle = {2020 IEEE International Symposium on Information Theory (ISIT)},
   year = {2020},
   pages = {2020--2025},
   doi = {10.1109/ISIT44484.2020.9173984},
}

@article{BD91,
   author = {Bridges, Douglas S. and Demuth, Osvald},
   title = {On the {L}ebesgue measurability of continuous functions in constructive analysis},
   journal = {BAMS},
   volume = {24},
   number = {2},
   year = {1991},
   pages = {259--276},
}

@article{BD97,
   author = {Bridges, Douglas S. and Dediu, Lumini{\c{t}}a},
   title = {Paradise lost, or paradise regained?},
   journal = {Bulletin of the European Association for Theoretical Computer Science},
   volume = {63},
   year = {1997},
   pages = {141--155},
}

@article{BD98,
   author = {Bridges, D. S. and Dudley Ward, N. F.},
   title = {Constructing ultraweakly continuous functionals on ${B}({H})$},
   journal = {Proceedings of the American Mathematical Society},
   volume = {126},
   number = {11},
   year = {1998},
   pages = {3347--3353},
}

@article{BD99,
   author = {Bridges, Douglas S. and Dediu, Lumini{\c{t}}a},
   title = {Weak continuity properties in constructive analysis},
   journal = {Logic Journal of the IGPL. Interest Group in Pure and Applied Logics},
   volume = {7},
   number = {3},
   year = {1999},
   pages = {277--281},
}

@article{BD99a,
   author = {Bridges, Douglas S. and Dediu, Lumini{\c{t}}a},
   title = {Weak-operator continuity and the existence of adjoints},
   journal = {Mathematical Logic Quarterly},
   volume = {45},
   number = {2},
   year = {1999},
   pages = {203--206},
}

@inproceedings{BDC01,
   author = {Becher, Ver{\'o}nica and Daicz, Sergio and Chaitin, Gregory},
   title = {A highly random number},
   booktitle = {Combinatorics, computability and logic ({C}onstan{\c{t}}a, 2001)},
   series = {Springer Ser. Discrete Math. Theor. Comput. Sci.},
   publisher = {Springer},
   address = {London},
   year = {2001},
   pages = {55--68},
}

@article{BDG22,
   author = {Barrett, Jordan Mitchell and Downey, Rodney G. and Greenberg, Noam},
   title = {Cousin's lemma in second-order arithmetic},
   journal = {Proceedings of the American Mathematical Society. Series B},
   volume = {9},
   year = {2022},
   pages = {111--124},
   doi = {10.1090/bproc/111},
}

@proceedings{BDGK08,
   title = {Proceedings of the Fifth International Conference on Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2008},
   note = {{CCA} 2008, Hagen, Germany, August 21-24, 2008},
   doi = {10.1016/j.entcs.2008.12.001},
}

@article{BDH+12,
   author = {Bienvenu, Laurent and Day, Adam R. and Hoyrup, Mathieu and Mezhirov, Ilya and Shen, Alexander},
   title = {A constructive version of {B}irkhoff's ergodic theorem for {M}artin-{L}\"of random points},
   journal = {Information and Computation},
   volume = {210},
   year = {2012},
   pages = {21--30},
   doi = {10.1016/j.ic.2011.10.006},
}

@article{BDI03,
   author = {Bridges, Douglas S. and van Dalen, Dirk and Ishihara, Hajime},
   title = {Ishihara's proof technique in constructive analysis},
   journal = {Indagationes Mathematicae},
   volume = {14},
   number = {2},
   year = {2003},
   pages = {163--168},
}

@proceedings{BDKL19,
   title = {Special issue: {O}berwolfach Workshop on Computability Theory 2018},
   editor = {Brattka, Vasco and Downey, Rod G. and Knight, Julia F. and Lempp, Steffen},
   series = {Computability - The Journal of the Association CiE},
   volume = {8},
   number = {3, 4},
   publisher = {IOS Press},
   year = {2019},
   pages = {193--415},
   doi = {10.3233/COM-180103},
}

@article{BDM13,
   author = {Bridges, D. S. and Dent, J. E. and McKubre-Jordens, M. N.},
   title = {Two direct proofs that {LLPO} implies the detachable fan theorem},
   journal = {Log. J. IGPL},
   volume = {21},
   number = {5},
   year = {2013},
   pages = {830--835},
   doi = {10.1093/jigpal/jzt003},
}

@article{BDM14,
   author = {Bridges, Douglas S. and Dent, James and McKubre-Jordens, Maarten},
   title = {Constructive connections between anti-{S}pecker, positivity, and fan-theoretic properties},
   journal = {New Zealand J. Math.},
   volume = {44},
   year = {2014},
   pages = {21--33},
}

@article{BDM16,
   author = {Bridges, Douglas S. and Dent, James and McKubre-Jordens, Maarten},
   title = {{Z}-stability in Constructive Analysis},
   journal = {Logical Methods in Computer Science},
   volume = {12},
   number = {3},
   year = {2016},
   month = Sep,
   doi = {10.2168/LMCS-12(3:10)2016},
}

@proceedings{BDMP20,
   title = {Special issue: Dagstuhl Seminar on Measuring the Complexity of Computational Content 2018},
   editor = {Brattka, Vasco and Dzhafarov, Damir and Marcone, Alberto and Pauly, Arno},
   series = {Computability - The Journal of the Association CiE},
   volume = {9},
   number = {3, 4},
   publisher = {IOS Press},
   year = {2020},
   pages = {167--341},
   doi = {10.3233/COM-208001},
}

@inproceedings{BDMS10,
   author = {Bienvenu, Laurent and Day, Adam and Mezhirov, Ilya and Shen, Alexander},
   title = {Ergodic-type Characterizations of Algorithmic Randomness},
   editor = {Fernando Ferreira and Benedikt L{\"o}we and Elvira Mayordomo and Lu\'{\i}s Mendes Gomes},
   booktitle = {CiE 2010},
   series = {Lecture Notes in Computer Science},
   volume = {6158},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {49--58},
}

@inproceedings{BDN16,
   author = {Bournez, Olivier and Dershowitz, Nachum and N\'{e}ron, Pierre},
   title = {Axiomatizing Analog Algorithms},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {215--224},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_22},
}

@proceedings{BDS14,
   title = {Logic, Computation, Hierarchies},
   editor = {Brattka, Vasco and Diener, Hannes and Spreen, Dieter},
   series = {Ontos Mathematical Logic},
   volume = {4},
   publisher = {Walter de Gruyter},
   address = {Boston},
   year = {2014},
   doi = {10.1515/9781614518044},
}

@article{BDWY22,
   author = {Burr, Michael and Das, Suddhasattwa and Wolf, Christian and Yang, Yun},
   title = {Computability of topological pressure on compact shift spaces beyond finite type},
   journal = {Nonlinearity},
   volume = {35},
   number = {8},
   publisher = {IOP Publishing},
   year = {2022},
   month = {jun},
   pages = {4250--4282},
   doi = {10.1088/1361-6544/ac7702},
}

@article{BE17,
   author = {Bilokon, Paul and Edalat, Abbas},
   title = {A domain-theoretic approach to {B}rownian motion and general continuous stochastic processes},
   journal = {Theoretical Computer Science},
   volume = {691},
   year = {2017},
   pages = {10--26},
   doi = {10.1016/j.tcs.2017.07.016},
}

@inproceedings{Bec12,
   author = {Becher, Ver{\'o}nica},
   title = {Turing's normal numbers: towards randomness},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {35--45},
}

@incollection{Bee05,
   author = {Beeson, Michael},
   title = {Constructivity, Computability, and the Continuum},
   editor = {Sica, Giandomenico},
   booktitle = {Essays on the Foundations of Mathematics and Logic},
   series = {Advanced Studies in Mathematics and Logic},
   volume = {2},
   publisher = {Polimetrica},
   address = {Milano},
   year = {2005},
   pages = {9--37},
}

@inproceedings{Bee80,
   author = {Beeson, M.J.},
   title = {Problematic principles in constructive mathematics},
   booktitle = {Logic Colloquium '80},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {108},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1980},
   pages = {11--55},
}

@book{Bee85,
   author = {Beeson, Michael J.},
   title = {Foundations of {C}onstructive {M}athematics},
   series = {A Series of Modern Surveys in Mathematics},
   publisher = {Springer},
   address = {Berlin},
   year = {1985},
}

@article{Ber05,
   author = {Berger, Josef},
   title = {Exact calculation of inverse functions},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {2},
   year = {2005},
   pages = {201--205},
}

@article{Ber05a,
   author = {Berger, Josef},
   title = {Constructive Equivalents of the Uniform Continuity Theorem},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {1878--1883},
}

@inproceedings{Ber05b,
   author = {Berger, Josef},
   title = {The fan theorem and uniform continuity},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer-Verlag},
   address = {Berlin, Heidelberg},
   year = {2005},
   pages = {18--22},
   note = {{P}roceedings of the First International Conference on Computability in Europe, CiE 2005},
   doi = {10.1007/11494645_3},
}

@inproceedings{Ber06,
   author = {Berger, Josef},
   title = {The Logical Strength of the Uniform Continuity Theorem},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {35--39},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@inproceedings{Ber06a,
   author = {Berger, Josef},
   title = {The logical strength of the uniform continuity theorem},
   editor = {Beckmann, Arnold and Berger, Ulrich and L{\"{o}}we, Benedikt and Tucker, John V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin/Heidelberg},
   year = {2006},
   pages = {35--39},
}

@article{Ber07,
   author = {Bertot, Yves},
   title = {Affine functions and series with co-inductive real numbers},
   journal = {Mathematical Structures in Computer Science},
   volume = {17},
   year = {2007},
   pages = {37--63},
}

@inproceedings{Ber07a,
   author = {Berger, Josef},
   title = {Weak {K}\"{o}nig's lemma implies the fan theorem for c-bars},
   booktitle = {Computation and Logic in the Real World},
   year = {2007},
   pages = {86--88},
   note = {{CiE} 2007, Quaderni del Dipartimento di Scienze Matematiche e Informatiche ``Roberto Magari''},
}

@article{Ber08,
   author = {Berger, Josef},
   title = {The weak {K}{\"o}nig lemma and uniform continuity},
   journal = {Journal of Symbolic Logic},
   volume = {73},
   number = {3},
   year = {2008},
   pages = {933--939},
   doi = {10.2178/jsl/1230396756},
}

@article{Ber09,
   author = {Berger, Josef},
   title = {A decomposition of {B}rouwer's fan theorem},
   journal = {Journal of Logic and Analysis},
   volume = {1},
   year = {2009},
   pages = {Paper 6, 8},
   doi = {10.4115/jla.2009.1.6},
}

@inproceedings{Ber10,
   author = {Berger, J.},
   title = {A separation result for varieties of {B}rouwer's fan theorem},
   booktitle = {10th {A}sian {L}ogic {C}onference},
   publisher = {World Sci. Publ., Hackensack, NJ},
   year = {2010},
   pages = {85--92},
   doi = {10.1142/9789814293020_0003},
}

@article{Ber11,
   author = {Berger, Ulrich},
   title = {From coinductive proofs to exact real arithmetic: theory and applications},
   journal = {Log. Methods Comput. Sci.},
   volume = {7},
   number = {1},
   year = {2011},
   pages = {1:8, 24},
   doi = {10.2168/LMCS-7(1:8)2011},
}

@article{Ber12,
   author = {Berger, Josef},
   title = {Aligning the weak {K}{\"o}nig lemma, the uniform continuity theorem, and {B}rouwer's fan theorem},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {8},
   year = {2012},
   pages = {981--985},
   doi = {10.1016/j.apal.2011.12.021},
}

@article{Ber16,
   author = {Berger, Josef},
   title = {Dickson's lemma and {H}igman's lemma are equivalent},
   journal = {South American Journal of Logic},
   volume = {2},
   number = {1},
   year = {2016},
   pages = {35--39},
}

@inproceedings{BES02,
   author = {Bauer, Andrej and Escard{\'{o}}, Mart{\'{\i}}n H{\"{o}}tzel and Simpson, Alex},
   title = {Comparing Functional Paradigms for Exact Real-Number Computation},
   editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {2380},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {488--500},
   note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July 8--13, 2002},
}

@article{BF02,
   author = {Becher, Ver{\'{o}}nica and Figueira, Santiago},
   title = {An example of a computable absolutely normal number},
   journal = {Theoretical Computer Science},
   volume = {270},
   year = {2002},
   pages = {947--958},
}

@article{BF05,
   author = {Becher, Ver{\'o}nica and Figueira, Santiago},
   title = {Kolmogorov complexity for possibly infinite computations},
   journal = {Journal of Logic, Language and Information},
   volume = {14},
   number = {2},
   year = {2005},
   pages = {133--148},
   doi = {10.1007/s10849-005-2255-6},
}

@article{BFLM24,
   author = {Bazhenov, Nikolay and Fiori-Carones, Marta and Liu, Lu and Melnikov, Alexander},
   title = {Primitive recursive reverse mathematics},
   journal = {Annals of Pure and Applied Logic},
   volume = {175},
   number = {1, Part A},
   year = {2024},
   pages = {103354},
   doi = {10.1016/j.apal.2023.103354},
}

@proceedings{BFM07,
   title = {Real Numbers},
   editor = {Brattka, Vasco and Frougny, Christiane and M{\"u}ller, Norbert},
   series = {Theoretical Informatics and Applications},
   volume = {41},
   number = {1},
   publisher = {EDP Sciences},
   address = {Les Ulis},
   year = {2007},
   note = {Selected Papers of the 6th conference on Real Numbers and Computers, Dagstuhl, Germany, November 15-17, 2004},
   doi = {10.1051/ita:2007001},
}

@article{BFP07,
   author = {Becher, Ver{\'{o}}nica and Figueira, Santiago and Picchi, Rafael},
   title = {{T}uring's unpublished algorithm for normal numbers},
   journal = {Theoretical Computer Science},
   volume = {377},
   number = {1--3},
   year = {2007},
   pages = {126--138},
}

@article{BG04,
   author = {Becher, Ver{\'{o}}nica and Grigorieff, Serge},
   title = {Recursion and topology on $2^{\leq\omega}$ for possibly infinite computations},
   journal = {Theoretical Computer Science},
   volume = {322},
   number = {1},
   year = {2004},
   pages = {85--136},
}

@article{BG05,
   author = {Becher, Ver{\'o}nica and Grigorieff, Serge},
   title = {Random reals and possibly infinite computations. {I}. {R}andomness in {$\emptyset'$}},
   journal = {Journal of Symbolic Logic},
   volume = {70},
   number = {3},
   year = {2005},
   pages = {891--913},
   doi = {10.2178/jsl/1122038919},
}

@inproceedings{BG07,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Borel Complexity of Topological Operations on Computable Metric Spaces},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {83--97},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{BG09,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Borel Complexity of Topological Operations on Computable Metric Spaces},
   journal = {Journal of Logic and Computation},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {45--76},
}

@article{BG09a,
   author = {Becher, Ver{\'o}nica and Grigorieff, Serge},
   title = {From index sets to randomness in {$\emptyset^n$}: random reals and possibly infinite computations. {II}},
   journal = {Journal of Symbolic Logic},
   volume = {74},
   number = {1},
   year = {2009},
   pages = {124--156},
   doi = {10.2178/jsl/1231082305},
}

@inproceedings{BG09c,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Weihrauch Degrees, Omniscience Principles and Weak Computability},
   editor = {Bauer, Andrej and Hertling, Peter and Ko, Ker-I},
   booktitle = {{CCA} 2009, Proceedings of the Sixth International Conference on Computability and Complexity in Analysis},
   publisher = {Leibniz-Zentrum f\"ur Informatik},
   address = {Schloss Dagstuhl, Germany},
   year = {2009},
   pages = {83--94},
}

@inproceedings{BG09d,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Effective Choice and Boundedness Principles in Computable Analysis},
   editor = {Bauer, Andrej and Hertling, Peter and Ko, Ker-I},
   booktitle = {{CCA} 2009, Proceedings of the Sixth International Conference on Computability and Complexity in Analysis},
   publisher = {Leibniz-Zentrum f\"ur Informatik},
   address = {Schloss Dagstuhl, Germany},
   year = {2009},
   pages = {95--106},
}

@article{BG11,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Weihrauch Degrees, Omniscience Principles and Weak Computability},
   journal = {The Journal of Symbolic Logic},
   volume = {76},
   number = {1},
   year = {2011},
   pages = {143--176},
   doi = {10.2178/jsl/1294170993},
}

@article{BG11a,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Effective Choice and Boundedness Principles in Computable Analysis},
   journal = {The Bulletin of Symbolic Logic},
   volume = {17},
   number = {1},
   year = {2011},
   pages = {73--117},
   doi = {10.2178/bsl/1294186663},
}

@article{BG15,
   author = {Becher, Ver{\'o}nica and Grigorieff, Serge},
   title = {{B}orel and {H}ausdorff hierarchies in topological spaces of {C}hoquet games and their effectivization},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {10},
   pages = {1490--1519},
   doi = {10.1017/S096012951300025X},
}

@article{BG15a,
   author = {Becher, Ver{\'o}nica and Grigorieff, Serge},
   title = {{W}adge hardness in {S}cott spaces and its effectivization},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {10},
   pages = {1520--1545},
   doi = {10.1017/S0960129513000248},
}

@article{BG20,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Weihrauch Goes {B}rouwerian},
   journal = {The Journal of Symbolic Logic},
   volume = {85},
   number = {4},
   year = {2020},
   pages = {1614--1653},
   doi = {10.1017/jsl.2020.76},
}

@article{BG21a,
   author = {Brattka, Vasco and Gherardi, Guido},
   title = {Completion of Choice},
   journal = {Annals of Pure and Applied Logic},
   volume = {172},
   number = {3},
   year = {2021},
   pages = {102914},
   doi = {10.1016/j.apal.2020.102914},
}

@article{BGH+11,
   author = {Bienvenu, Laurent and G{\'a}cs, Peter and Hoyrup, Mathieu and Rojas, Crist\'obal and Shen, Alexander},
   title = {Algorithmic tests and randomness with respect to a class of measures},
   journal = {Proceedings of the Steklov Institute of Mathematics},
   volume = {274},
   number = {1},
   publisher = {Steklov Institute of Mathematics},
   year = {2011},
   month = Nov,
   pages = {34-89},
   doi = {10.1134/S0081543811060058},
}

@inproceedings{BGH10,
   author = {Bournez, Olivier and Gra{\c{c}}a, Daniel S. and Hainry, Emmanuel},
   title = {Robust computations with dynamical systems},
   booktitle = {Mathematical foundations of computer science 2010},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6281},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {198--208},
   doi = {10.1007/978-3-642-15155-2_19},
}

@article{BGH13a,
   author = {Bournez, Olivier and Gra{\c{c}}a, Daniel S. and Hainry, Emmanuel},
   title = {Computation with perturbed dynamical systems},
   journal = {J. Comput. System Sci.},
   volume = {79},
   number = {5},
   year = {2013},
   pages = {714--724},
   doi = {10.1016/j.jcss.2013.01.025},
}

@inproceedings{BGH15,
   author = {Brattka, Vasco and Gherardi, Guido and H{\"o}lzl, Rupert},
   title = {Las {V}egas Computability and Algorithmic Randomness},
   editor = {Mayr, Ernst W. and Ollinger, Nicolas},
   booktitle = {32nd International Symposium on Theoretical Aspects of Computer Science ({STACS} 2015)},
   series = {Leibniz International Proceedings in Informatics ({LIPI}cs)},
   volume = {30},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2015},
   pages = {130--142},
   doi = {10.4230/LIPIcs.STACS.2015.130},
}

@article{BGH15a,
   author = {Brattka, Vasco and Gherardi, Guido and H{\"o}lzl, Rupert},
   title = {Probabilistic Computability and Choice},
   journal = {Information and Computation},
   volume = {242},
   year = {2015},
   pages = {249--286},
   doi = {10.1016/j.ic.2015.03.005},
}

@incollection{BGHP17,
   author = {Brattka, Vasco and Gherardi, Guido and H\"olzl, Rupert and Pauly, Arno},
   title = {The {V}itali Covering Theorem in the {W}eihrauch Lattice},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {188--200},
   doi = {10.1007/978-3-319-50062-1_14},
}

@article{BGI04,
   author = {Bonanno, Claudio and Galatolo, Stefano and Isola, Stefano},
   title = {Recurrence and algorithmic information},
   journal = {Nonlinearity},
   volume = {17},
   number = {3},
   year = {2004},
   pages = {1057--1074},
}

@proceedings{BGKS22,
   title = {Special issue: Oberwolfach Workshop on Computability Theory 2021},
   editor = {Brattka, Vasco and Greenberg, Noam and Kalimullin, Iskander and Soskova, Mariya},
   series = {Computability - The Journal of the Association CiE},
   volume = {11},
   number = {3, 4},
   publisher = {IOS Press},
   year = {2022},
   pages = {163--358},
   doi = {10.3233/COM-220950},
}

@article{BGM12,
   author = {Brattka, Vasco and Gherardi, Guido and Marcone, Alberto},
   title = {The {B}olzano-{W}eierstrass Theorem is the Jump of Weak {K}{\H{o}}nig's Lemma},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   year = {2012},
   pages = {623--655},
   doi = {10.1016/j.apal.2011.10.006},
}

@inproceedings{BGP11,
   author = {Bournez, Olivier and Gra{\c{c}}a, Daniel S. and Pouly, Amaury},
   title = {Solving analytic differential equations in polynomial time over unbounded domains},
   editor = {Murlak, F. and Sankowski, P.},
   booktitle = {Mathematical Foundations of Computer Science 2011},
   series = {Lecture Notes in Computer Science},
   volume = {6907},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {170--181},
   doi = {10.1007/978-3-642-22993-0_18},
}

@inproceedings{BGP12,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel S. and Pouly, Amaury},
   title = {On the complexity of solving initial value problems},
   editor = {van der Hoeven, Joris and van Hoeij, Mark},
   booktitle = {I{SSAC} 2012---{P}roceedings of the 37th {I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
   publisher = {ACM},
   address = {New York},
   year = {2012},
   pages = {115--121},
   doi = {10.1145/2442829.2442849},
}

@incollection{BGP13,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel S. and Pouly, Amaury},
   title = {Turing machines can be efficiently simulated by the general purpose analog computer},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7876},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2013},
   pages = {169--180},
   doi = {10.1007/978-3-642-38236-9_16},
}

@inproceedings{BGP16,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel S. and Pouly, Amaury},
   title = {Rigorous numerical computation of polynomial differential equations over unbounded domains},
   editor = {Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K.},
   booktitle = {Mathematical aspects of computer and information sciences},
   series = {Lecture Notes in Computer Science},
   volume = {9582},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {469--473},
   note = {6th International Conference, {MACIS} 2015, Berlin, Germany, November 11--13, 2015, Revised Selected Papers},
   doi = {10.1007/978-3-319-32859-1_40},
}

@article{BGP16a,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel and Pouly, Amaury},
   title = {Computing with polynomial ordinary differential equations},
   journal = {Journal of Complexity},
   volume = {36},
   year = {2016},
   pages = {106--140},
   doi = {10.1016/j.jco.2016.05.002},
}

@inproceedings{BGP16b,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel S. and Pouly, Amaury},
   title = {Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length: the general purpose analog computer and computable analysis are two efficiently equivalent models of computations},
   editor = {Chatzigiannakis, Ioannis and Mitzenmacher, Michael and Rabani, Yuval and Sangiorgi, Davide},
   booktitle = {43rd {I}nternational {C}olloquium on {A}utomata, {L}anguages, and {P}rogramming},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {55},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   address = {Dagstuhl, Germany},
   year = {2016},
   pages = {Art. No. 109, 15},
}

@article{BGP17a,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel S. and Pouly, Amaury},
   title = {Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length},
   journal = {Journal of the ACM},
   volume = {64},
   number = {6},
   year = {2017},
   pages = {Art. 38, 76},
   doi = {10.1145/3127496},
}

@article{BGP17b,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel and Pouly, Amaury},
   title = {On the functions generated by the general purpose analog computer},
   journal = {Information and Computation},
   volume = {257},
   year = {2017},
   pages = {34--57},
   doi = {10.1016/j.ic.2017.09.015},
}

@incollection{BGP21,
   author = {Brattka, Vasco and Gherardi, Guido and Pauly, Arno},
   title = {Weihrauch Complexity in Computable Analysis},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {367--417},
   doi = {10.1007/978-3-030-59234-9\_11},
}

@incollection{BGPZ13,
   author = {Bournez, Olivier and Gra\c{c}a, Daniel S. and Pouly, Amaury and Zhong, Ning},
   title = {Computability and computational complexity of the evolution of nonlinear dynamical systems},
   booktitle = {The nature of computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7921},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2013},
   pages = {12--21},
   doi = {10.1007/978-3-642-39053-1_2},
}

@inproceedings{BGR12,
   author = {Braverman, Mark and Grigo, Alexander and Rojas, Cristobal},
   title = {Noise vs Computational Intractability in Dynamics},
   booktitle = {Proceedings of the 3rd Innovations in Theoretical Computer Science Conference},
   series = {ITCS '12},
   publisher = {ACM},
   address = {New York, NY, USA},
   year = {2012},
   pages = {128--141},
   doi = {10.1145/2090236.2090247},
}

@article{BGRY22,
   author = {Binder, Ilia and Glucksam, Adi and Rojas, Cristobal and Yampolsky, Michael},
   title = {Computability in harmonic analysis},
   journal = {Foundations of Computational Mathematics},
   volume = {22},
   number = {3},
   year = {2022},
   pages = {849--873},
   doi = {10.1007/s10208-021-09524-w},
}

@inproceedings{BGZ11,
   author = {Buescu, J. and Gra{\c{c}}a, D. S. and Zhong, N.},
   title = {Computability and dynamical systems},
   booktitle = {Dynamics, games and science. {I}},
   series = {Springer Proc. Math.},
   volume = {1},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {169--181},
   doi = {10.1007/978-3-642-11456-4_11},
}

@article{BH00a,
   author = {Bridges, Douglas S. and Havea, Robin},
   title = {A constructive analysis of a proof that the numerical range is convex},
   journal = {London Math. Soc. Journal of Mathematics and Computation},
   volume = {3},
   year = {2000},
   pages = {191--206},
}

@article{BH01,
   author = {Bridges, Douglas S. and Havea, Robin},
   title = {A constructive version of the spectral mapping theorem},
   journal = {Mathematical Logic Quarterly},
   volume = {47},
   number = {3},
   year = {2001},
   pages = {299--304},
}

@article{BH02,
   author = {Brattka, Vasco and Hertling, Peter},
   title = {Topological properties of real number representations},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {241--257},
   doi = {10.1016/S0304-3975(01)00066-4},
}

@article{BH05,
   author = {Bournez, Olivier and Hainry, Emmanuel},
   title = {Elementarily computable functions over the real numbers and $R$-sub-recursive functions},
   journal = {Theoretical Computer Science},
   volume = {348},
   year = {2005},
   pages = {130--147},
}

@article{BH06,
   author = {Bournez, Olivier and Hainry, Emmanuel},
   title = {Recursive Analysis Characterized as a Class of Real Recursive Functions},
   journal = {Fundamenta Informaticae},
   volume = {74},
   number = {4},
   year = {2006},
   pages = {409--433},
}

@article{BH07,
   author = {Bridges, Douglas S. and Havea, Robin},
   title = {Powers of a {H}ermitian element},
   journal = {New Zealand J. Math.},
   volume = {36},
   year = {2007},
   pages = {1--10},
}

@article{BH08,
   author = {Bridges, Douglas S. and Havea, Robin S.},
   title = {Constructive notions of maximality for ideals},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {22},
   year = {2008},
   pages = {3648--3657},
}

@article{BH09,
   author = {Bridges, Douglas S. and Havea, Robin S.},
   title = {Constructing square roots in a {B}anach algebra},
   journal = {Scientiae Mathematicae Japonicae},
   volume = {70},
   number = {3},
   year = {2009},
   pages = {355--366},
}

@article{BH10,
   author = {Bienvenu, Laurent and Hoyrup, Mathieu},
   title = {Une br\`eve introduction \`a la th\'eorie effective de l'al\'eatoire},
   journal = {Gaz. Math.},
   number = {123},
   year = {2010},
   pages = {35--47},
}

@article{BH10a,
   author = {Bridges, Douglas S. and Hendtlass, Matthew},
   title = {Continuous homomorphisms of {${R}$} onto a compact group},
   journal = {Mathematical Logic Quarterly},
   volume = {56},
   number = {2},
   year = {2010},
   pages = {191--197},
   doi = {10.1002/malq.200810048},
}

@article{BH10b,
   author = {Bridges, Douglas S. and Hendtlass, Matthew},
   title = {Continuous isomorphisms from {$R$} onto a complete abelian group},
   journal = {J. Symbolic Logic},
   volume = {75},
   number = {3},
   year = {2010},
   pages = {930--944},
   doi = {10.2178/jsl/1278682208},
}

@inproceedings{BH12,
   author = {Bridges, Douglas S. and Havea, Robin S.},
   title = {Square roots and powers in constructive {B}anach algebra theory},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {68--77},
}

@article{BH13,
   author = {Becher, Ver{\'o}nica and Heiber, Pablo Ariel},
   title = {Normal numbers and finite automata},
   journal = {Theoret. Comput. Sci.},
   volume = {477},
   year = {2013},
   pages = {109--116},
   doi = {10.1016/j.tcs.2013.01.019},
}

@article{BH15,
   author = {Bosserhoff, Volker and Hertling, Peter},
   title = {Effective subsets under homeomorphisms of {$R^n$}},
   journal = {Information and Computation},
   volume = {245},
   year = {2015},
   pages = {197--212},
   doi = {10.1016/j.ic.2015.09.001},
}

@proceedings{BH21,
   title = {Handbook of Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Hertling, Peter},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   doi = {10.1007/978-3-030-59234-9},
}

@article{BH98,
   author = {Brattka, Vasco and Hertling, Peter},
   title = {Feasible real random access machines},
   journal = {Journal of Complexity},
   volume = {14},
   number = {4},
   year = {1998},
   pages = {490--526},
}

@inproceedings{BHK17,
   author = {Brattka, Vasco and H{\"o}lzl, Rupert and Kuyper, Rutger},
   title = {{M}onte {C}arlo Computability},
   editor = {Vollmer, Heribert and Vall{\'e}e, Brigitte},
   booktitle = {34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {66},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2017},
   pages = {17:1--17:14},
   doi = {10.4230/LIPIcs.STACS.2017.17},
}

@article{BHK17a,
   author = {Brattka, Vasco and Hendtlass, Matthew and Kreuzer, Alexander P.},
   title = {On the Uniform Computational Content of Computability Theory},
   journal = {Theory of Computing Systems},
   volume = {61},
   number = {4},
   year = {2017},
   pages = {1376--1426},
   doi = {10.1007/s00224-017-9798-1},
}

@article{BHK18,
   author = {Brattka, Vasco and Hendtlass, Matthew and Kreuzer, Alexander P.},
   title = {On the Uniform Computational Content of the {B}aire Category Theorem},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {59},
   number = {4},
   year = {2018},
   pages = {605--636},
   doi = {10.1215/00294527-2018-0016},
}

@proceedings{BHKT06,
   title = {Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Hertling, Peter and Ko, Ker-I and Tsuiki, Hideki},
   series = {Journal of Complexity},
   volume = {522},
   number = {6},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2006},
   note = {Selected Papers of the International Conference CCA 2005, held in Kyoto, Japan, August 25--29, 2005},
   doi = {10.1016/j.jco.2006.10.001},
}

@proceedings{BHKZ04,
   title = {Special Issue Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Hertling, Peter and Ko, Ker-I and Zhong, Ning},
   series = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   publisher = {Wiley-VCH},
   address = {Weinheim},
   year = {2004},
   note = {Selected Papers of the International Conference CCA 2003, held in Cincinnati, Ohio, August 28--30, 2003},
   doi = {10.1002/malq.200490000},
}

@article{BHM23,
   author = {Bazhenov, Nikolay and Harrison-Trainor, Matthew and Melnikov, Alexander},
   title = {Computable {S}tone spaces},
   journal = {Annals of Pure and Applied Logic},
   volume = {174},
   number = {9},
   year = {2023},
   pages = {103304},
   doi = {10.1016/j.apal.2023.103304},
}

@inproceedings{BHMN12,
   author = {Bienvenu, Laurent and H{\"o}lzl, Rupert and Miller, Joseph S. and Nies, Andr{\'e}},
   title = {The {D}enjoy alternative for computable functions},
   booktitle = {29th {I}nternational {S}ymposium on {T}heoretical {A}spects of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {14},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2012},
   pages = {543--554},
}

@article{BHMN14,
   author = {Bienvenu, Laurent and H{\"o}lzl, Rupert and Miller, Joseph S. and Nies, Andr{\'e}},
   title = {Denjoy, {D}emuth and density},
   journal = {J. Math. Log.},
   volume = {14},
   number = {1},
   year = {2014},
   pages = {1450004, 35},
   doi = {10.1142/S0219061314500044},
}

@article{BHP16,
   author = {Bridges, Douglas S. and Hendtlass, Matthew and Palmgren, Erik},
   title = {A constructive examination of rectifiability},
   journal = {Journal of Logic and Analysis},
   volume = {8},
   year = {2016},
   pages = {Paper No. 4, 17},
}

@article{BHS06,
   author = {Bridges, Douglas S. and Havea, Robin and Schuster, Peter},
   title = {Ideals in constructive {B}anach algebra theory},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {729--737},
}

@article{BHS06a,
   author = {Bridges, Douglas S. and Havea, Robin and Schuster, Peter},
   title = {Constructive {B}anach algebra theory and the {N}ullstellensatz},
   journal = {Publ. Math. Debrecen},
   volume = {69},
   number = {1,2},
   year = {2006},
   pages = {171--184},
}

@article{BHS13,
   author = {Becher, Ver{\'o}nica and Heiber, Pablo Ariel and Slaman, Theodore A.},
   title = {A polynomial-time algorithm for computing absolutely normal numbers},
   journal = {Information and Computation},
   volume = {232},
   year = {2013},
   pages = {1--9},
   doi = {10.1016/j.ic.2013.08.013},
}

@article{BHS17,
   author = {Bienvenu, Laurent and Hoyrup, Mathieu and Shen, Alexander},
   title = {Layerwise Computability and Image Randomness},
   journal = {Theory of Computing Systems},
   volume = {61},
   number = {4},
   year = {2017},
   pages = {1353--1375},
   doi = {10.1007/s00224-017-9791-8},
}

@incollection{BHW08,
   author = {Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   title = {A Tutorial on Computable Analysis},
   editor = {Cooper, S. Barry and L\"owe, Benedikt and Sorbi, Andrea},
   booktitle = {New Computational Paradigms: Changing Conceptions of What Is Computable},
   publisher = {Springer},
   address = {New York},
   year = {2008},
   pages = {425--491},
}

@article{BHW21a,
   author = {BeMent, Zach and Hirst, Jeffry and Wallace, Asuka},
   title = {Reverse mathematics and {W}eihrauch analysis motivated by finite complexity theory},
   journal = {Computability},
   volume = {10},
   number = {4},
   year = {2021},
   pages = {343--354},
   doi = {10.3233/COM-210310},
}

@proceedings{BHYZ02,
   title = {Selected Papers of the Dagstuhl Seminar on Computability and Complexity in Analysis 2001},
   editor = {Brattka, Vasco and Hertling, Peter and Yasugi, Mariko and Zhong, Ning},
   series = {Mathematical Logic Quarterly},
   volume = {48 (Suppl. 1)},
   publisher = {Wiley-VCH},
   address = {Weinheim},
   year = {2002},
   doi = {10.1002/1521-3870(200210)48:1+<III::AID-MALQ1>3.0.CO;2-0},
}

@article{BI01,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Constructive closed range and open mapping theorems},
   journal = {Indagationes Mathematicae},
   volume = {11},
   number = {4},
   year = {2001},
   pages = {509--516},
}

@inproceedings{BI01a,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Constructive unbounded operators},
   editor = {Schuster, Peter and Berger, Ulrich and Osswald, Horst},
   booktitle = {Reuniting the antipodes---constructive and nonstandard views of the continuum (Venice, 1999)},
   series = {Synthese Library},
   volume = {306},
   publisher = {Kluwer Acad. Publ.},
   address = {Dordrecht},
   year = {2001},
   pages = {25--37},
}

@article{BI05,
   author = {Berger, Josef and Ishihara, Hajime},
   title = {Brouwer's fan theorem and unique existence in constructive analysis},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {4},
   year = {2005},
   pages = {360--364},
}

@article{BI14,
   author = {Burnik, Konrad and Iljazovi{\'c}, Zvonko},
   title = {Computability of 1-manifolds},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   number = {2},
   year = {2014},
   pages = {2:8, 28},
   doi = {10.2168/LMCS-10(2:8)2014},
}

@article{BI90,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Linear mappings are fairly well-behaved},
   journal = {Archiv der Mathematik},
   volume = {54},
   number = {6},
   year = {1990},
   pages = {558--562},
}

@article{BI92,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Locating the range of an operator on a {H}ilbert space},
   journal = {The Bulletin of the London Mathematical Society},
   volume = {24},
   number = {6},
   year = {1992},
   pages = {599--605},
}

@article{BI94,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Complements of intersections in constructive mathematics},
   journal = {Mathematical Logic Quarterly},
   volume = {40},
   number = {1},
   year = {1994},
   pages = {35--43},
}

@article{BI94a,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Absolute continuity and the uniqueness of the constructive functional calculus},
   journal = {Mathematical Logic Quarterly},
   volume = {40},
   number = {4},
   year = {1994},
   pages = {519--527},
}

@article{BI94b,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Erratum: ``{C}omplements of intersections in constructive mathematics''},
   journal = {Mathematical Logic Quarterly},
   volume = {40},
   number = {4},
   year = {1994},
   pages = {570},
}

@article{BI96,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {Spectra of selfadjoint operators in constructive analysis},
   journal = {Indagationes Mathematicae},
   volume = {7},
   number = {1},
   year = {1996},
   pages = {11--35},
}

@article{BI98,
   author = {Bridges, Douglas S. and Ishihara, Hajime},
   title = {A definite constructive open mapping theorem?},
   journal = {Mathematical Logic Quarterly},
   volume = {44},
   number = {4},
   year = {1998},
   pages = {545--552},
}

@article{BIKN19,
   author = {Berger, Josef and Ishihara, Hajime and Kihara, Takayuki and Nemoto, Takako},
   title = {The binary expansion and the intermediate value theorem in constructive reverse mathematics},
   journal = {Archive for Mathematical Logic},
   volume = {58},
   number = {1-2},
   year = {2019},
   pages = {203--217},
   doi = {10.1007/s00153-018-0627-2},
}

@article{Bil03,
   author = {Billinge, Helen},
   title = {Did Bishop Have a Philosophy of Mathematics?},
   journal = {Philosophia Mathematica},
   volume = {11},
   number = {2},
   year = {2003},
   pages = {176--194},
   doi = {10.1093/philmat/11.2.176},
}

@article{BIM13,
   author = {Bridges, Douglas S. and Ishihara, Hajime and McKubre-Jordens, Maarten},
   title = {Uniformly convex {B}anach spaces are reflexive---constructively},
   journal = {Mathematical Logic Quarterly},
   volume = {59},
   number = {4-5},
   year = {2013},
   pages = {352--356},
   doi = {10.1002/malq.201200093},
}

@article{BIMRSV07,
   author = {Bridges, Douglas S. and Ishihara, Hajime and Mines, Ray and Richman, Fred and Schuster, Peter M. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Almost locatedness in uniform spaces},
   journal = {Czechoslovak Math. J.},
   volume = {57},
   number = {1},
   year = {2007},
   pages = {1--12},
}

@article{BIPS12,
   author = {Berger, Josef and Ishihara, Hajime and Palmgren, Erik and Schuster, Peter},
   title = {A predicative completion of a uniform space},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {8},
   year = {2012},
   pages = {975--980},
   doi = {10.1016/j.apal.2011.12.022},
}

@inproceedings{BIS02,
   author = {Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter},
   title = {Compactness and continuity, constructively revisited},
   editor = {Bradfield, Julian},
   booktitle = {Computer science logic},
   series = {Lecture Notes in Computer Science},
   volume = {2471},
   publisher = {Springer},
   year = {2002},
   pages = {89--102},
}

@article{BIS03,
   author = {Bridges, Douglas S. and Ishihara, Hajime and Spitters, Bas},
   title = {Locating the range of an operator with an adjoint},
   journal = {Indagationes Mathematicae},
   volume = {13},
   number = {4},
   year = {2003},
   pages = {433--440},
}

@article{BIS12,
   author = {Berger, Josef and Ishihara, Hajime and Schuster, Peter},
   title = {The weak {K}{\H{o}}nig lemma, {B}rouwer's {F}an theorem, de {M}organ's law, and dependent choice},
   journal = {Reports on Mathematical Logic},
   number = {47},
   year = {2012},
   pages = {63--86},
}

@inproceedings{Bis66,
   author = {Bishop, Errett},
   title = {Constructive {M}ethods in the {T}heory of {B}anach {A}lgebras},
   editor = {Birtel, F.T.},
   booktitle = {Function Algebras},
   publisher = {Scott-Foresman},
   address = {Chicago},
   year = {1966},
   pages = {343--345},
   note = {Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965},
}

@book{Bis67,
   author = {Bishop, Errett},
   title = {Foundations of Constructive Analysis},
   publisher = {McGraw-Hill},
   address = {New York},
   year = {1967},
}

@article{Bis67a,
   author = {Bishop, Errett},
   title = {A constructive ergodic theorem},
   journal = {J. Math. Mech.},
   volume = {17},
   year = {1967/1968},
   pages = {631--639},
}

@article{Bis68,
   author = {Bishop, Errett},
   title = {The constructivization of abstract mathematical analysis},
   journal = {Izdat. Mir},
   year = {1968},
   pages = {308--313},
   note = {Proc. Internat. Congr. Math., Moscow, 1968},
}

@incollection{Bis70,
   author = {Bishop, Errett},
   title = {Mathematics as a numerical language},
   editor = {Kino, A. and Myhill, J. and Vesley, R.E.},
   booktitle = {Intuitionism and {P}roof {T}heory ({P}roc. {C}onf., {B}uffalo, {N}.{Y}., 1968)},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {60},
   publisher = {North-Holland, Amsterdam},
   year = {1970},
   pages = {53--71},
   doi = {10.1016/S0049-237X(08)70740-7},
}

@article{BIS99,
   author = {Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter},
   title = {Sequential Compactness in Constructive Analysis},
   journal = {\"{O}sterr. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II.},
   volume = {208},
   year = {1999},
   pages = {159--163},
}

@article{BISV05,
   author = {Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter and V{\^\i}{\c{t}}{\u{a}}, Lumini{\c{t}}a S.},
   title = {Strong continuity implies uniform sequential continuity},
   journal = {Archive for Mathematical Logic},
   volume = {44},
   number = {7},
   year = {2005},
   pages = {887--895},
}

@article{BISV08,
   author = {Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter M. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Apartness, compactness and nearness},
   journal = {Theoretical Computer Science},
   volume = {405},
   number = {1-2},
   year = {2008},
   pages = {3--10},
   doi = {10.1016/j.tcs.2008.06.019},
}

@proceedings{BISZ08,
   title = {Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Ishihara, Hajime and Schr{\"o}der, Matthias and Zhong, Ning},
   series = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   publisher = {Graz University of Technology},
   address = {Graz},
   year = {2008},
   note = {Selected Papers of the Fourth International Conference on Computability and Complexity in Analysis, June 16-18, 2007, Siena, Italy},
   doi = {10.3217/jucs-014-06},
}

@proceedings{BISZ08a,
   title = {Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Ishihara, Hajime and Schr{\"o}der, Matthias and Zhong, Ning},
   series = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   publisher = {Wiley-VCH},
   address = {Weinheim},
   year = {2008},
   note = {Selected Papers of the Fourth International Conference on Computability and Complexity in Analysis, June 16-18, 2007, Siena, Italy},
   doi = {10.1002/malq.200810400},
}

@article{BIV04,
   author = {Bridges, Douglas S. and Ishihara, Hajime and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Computing infima on convex sets, with applications in {H}ilbert spaces},
   journal = {Proceedings of the American Mathematical Society},
   volume = {132},
   number = {9},
   year = {2004},
   pages = {2723--2732},
}

@article{BIV06,
   author = {Bridges, Douglas S. and Ishihara, Hajime and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {A new constructive version of {B}aire's Theorem},
   journal = {Hokkaido Math. Journal},
   volume = {35},
   number = {1},
   year = {2006},
   pages = {107--118},
}

@inproceedings{BJL01,
   author = {Breutzmann, Josef M. and Juedes, David W. and Lutz, Jack H.},
   title = {Baire Category and Nowhere Differentiability for Feasible Real Functions},
   editor = {Eades, Peter and Takaoka, Tadao},
   booktitle = {Algorithms and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {2223},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {219--230},
   note = {12th International Symposium, ISAAC 2001, Christchurch, New Zealand, December 19-21, 2001},
}

@article{BJL04,
   author = {Breutzmann, Josef M. and Juedes, David W. and Lutz, Jack H.},
   title = {Baire category and nowhere differentiability for feasible real functions},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {460--472},
}

@article{BJM89,
   author = {Bridges, Douglas S. and Julian, William and Mines, Ray},
   title = {A constructive treatment of open and unopen mapping theorems},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {35},
   number = {1},
   year = {1989},
   pages = {29--43},
}

@article{BJRM92,
   author = {Bridges, D.S. and Julian, W.H. and Richman, F. and Mines, R.},
   title = {Extensions and fixed points of contractive maps in {R}$^n$},
   journal = {J. Math. Anal. Appl.},
   volume = {165},
   year = {1992},
   pages = {438--456},
}

@inproceedings{BK08,
   author = {Bauer, Andrej and Kavkler, Iztok},
   title = {Implementing real numbers with {RZ}},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {365--384},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@incollection{BK17,
   author = {Bienvenu, Laurent and Kuyper, Rutger},
   title = {Parallel and serial jumps of {W}eak {W}eak {K}{\"o}nig's {L}emma},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {201--217},
   doi = {10.1007/978-3-319-50062-1_15},
}

@incollection{BK98,
   author = {Brattka, Vasco and Kalantari, Iraj},
   title = {A Bibliography of Recursive Analysis and Recursive Topology},
   editor = {Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel, J.B.},
   booktitle = {Handbook of Recursive Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {138},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {1998},
   pages = {583--620},
   note = {Volume 1, Recursive Model Theory},
}

@article{BKKM23,
   author = {Brau{\ss}e, Franz and Korovin, Konstantin and Korovina, Margarita V. and M\"{u}ller, Norbert Th.},
   title = {The ksmt calculus is a {$\delta$}-complete decision procedure for non-linear constraints},
   journal = {Theoretical Computer Science},
   volume = {975},
   year = {2023},
   pages = {Paper No. 114125, 16},
   doi = {10.1016/j.tcs.2023.114125},
}

@inproceedings{BKM16,
   author = {Brau{\ss}e, Franz and Korovina, Margarita and M{\"u}ller, Norbert},
   title = {Using {T}aylor models in exact real arithmetic},
   editor = {Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K.},
   booktitle = {Mathematical aspects of computer and information sciences},
   series = {Lecture Notes in Computer Science},
   volume = {9582},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {474--488},
   note = {6th International Conference, {MACIS} 2015, Berlin, Germany, November 11--13, 2015, Revised Selected Papers},
   doi = {10.1007/978-3-319-32859-1_41},
}

@inproceedings{BL00,
   author = {Burrows, Ashley and Lester, David},
   title = {Exact Arithmetic and the {K}orteweg-de {V}ries Equation},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {23--41},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@article{BL10,
   author = {Bridges, Douglas S. and Loeb, Iris},
   title = {Glueing continuous functions constructively},
   journal = {Arch. Math. Logic},
   volume = {49},
   number = {5},
   year = {2010},
   pages = {603--616},
   doi = {10.1007/s00153-010-0189-4},
}

@article{BL12,
   author = {Bauer, Andrej and Le{\v{s}}nik, Davorin},
   title = {Metric spaces in synthetic topology},
   journal = {Ann. Pure Appl. Logic},
   volume = {163},
   number = {2},
   year = {2012},
   pages = {87--100},
   doi = {10.1016/j.apal.2011.06.017},
}

@incollection{BL17,
   author = {Barmpalias, George and Lewis-Pye, Andrew},
   title = {A Note on the Differences of Computably Enumerable Reals},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {623--632},
   doi = {10.1007/978-3-319-50062-1_37},
}

@article{Bla00,
   author = {Blanck, Jens},
   title = {Domain representations of topological spaces},
   journal = {Theoretical Computer Science},
   volume = {247},
   year = {2000},
   pages = {229--255},
}

@inproceedings{Bla01,
   author = {Blanck, Jens},
   title = {Effectivity of Regular Spaces},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {1--15},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Bla01a,
   author = {Blanck, Jens},
   title = {Exact Real Arithmetic Systems: Results of Competition},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {389--393},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Bla02,
   author = {Bl{\"a}ser, Markus},
   title = {Uniform computational complexity of the derivatives of {$C^\infty$}-functions},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {199--206},
}

@article{Bla05,
   author = {Blanck, Jens},
   title = {Efficient exact computation of iterated maps},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {64},
   year = {2005},
   pages = {41--59},
}

@article{Bla97,
   author = {Blanck, Jens},
   title = {Domain representability of metric spaces},
   journal = {Annals of Pure and Applied Logic},
   volume = {83},
   year = {1997},
   pages = {225--247},
}

@phdthesis{Bla97a,
   author = {Blanck, Jens},
   title = {Computability on topological spaces by effective domain representations},
   school = {Uppsala University, Department of Mathematics},
   address = {Uppsala, Sweden},
   year = {1997},
}

@article{Bla99,
   author = {Blanck, Jens},
   title = {Effective domain representations of {$H(X)$}, the space of compact subsets},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {19--48},
}

@inproceedings{BLP12a,
   author = {Brattka, Vasco and Le Roux, St{\'e}phane and Pauly, Arno},
   title = {On the Computational Content of the {B}rouwer {F}ixed {P}oint {T}heorem},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Berlin},
   year = {2012},
   pages = {57--67},
   note = {Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, Cambridge, UK, June 2012},
   doi = {10.1007/978-3-642-30870-3_7},
}

@inproceedings{BLRMP16,
   author = {Brattka, Vasco and Le Roux, St{\'e}phane and Miller, Joseph S. and Pauly, Arno},
   title = {The {B}rouwer Fixed Point Theorem Revisited},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {58--67},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_6},
}

@article{BLRMP19,
   author = {Brattka, Vasco and Le Roux, St{\'e}phane and Miller, Joseph S. and Pauly, Arno},
   title = {Connected Choice and the {B}rouwer Fixed Point Theorem},
   journal = {Journal of Mathematical Logic},
   volume = {19},
   number = {1},
   year = {2019},
   pages = {1--46},
   doi = {10.1142/S0219061319500041},
}

@article{BM00,
   author = {Bridges, Douglas S. and Mahalanobis, Ayan},
   title = {Sequential continuity of functions in constructive analysis},
   journal = {Mathematical Logic Quarterly},
   volume = {46},
   number = {1},
   year = {2000},
   pages = {139--143},
}

@article{BM01,
   author = {Bridges, Douglas S. and Mahalanobis, Ayan},
   title = {Increasing, nondecreasing, and virtually continuous functions},
   journal = {Journal of Automata, Languages and Combinatorics},
   volume = {6},
   number = {2},
   year = {2001},
   pages = {139--143},
}

@article{BM01a,
   author = {Bridges, Douglas S. and Mahalanobis, Ayan},
   title = {Bounded variation implies regulated: a constructive proof},
   journal = {The Journal of Symbolic Logic},
   volume = {66},
   number = {4},
   year = {2001},
   pages = {1695--1700},
}

@inproceedings{BM07,
   author = {Bienvenu, Laurent and Merkle, Wolfgang},
   title = {Effective randomness for computable probability measures},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {117--130},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@inproceedings{BM07a,
   author = {Barmpalias, George and Montalb{\'a}n, Antonio},
   title = {A cappable almost everywhere dominating computably enumerable degree},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {17--31},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{BM13,
   author = {Bridges, D. S. and McKubre-Jordens, M.},
   title = {Solving the {D}irichlet problem constructively},
   journal = {J. Log. Anal.},
   volume = {5},
   year = {2013},
   pages = {Paper 3, 22},
}

@inproceedings{BM19,
   author = {Boche, H. and M{\"o}nich, U. J.},
   title = {Turing Computability of the {F}ourier Transform of Bandlimited Functions},
   booktitle = {2019 IEEE International Symposium on Information Theory (ISIT)},
   year = {2019},
   pages = {380--384},
   doi = {10.1109/ISIT.2019.8849462},
}

@article{BM19a,
   author = {Boche, H. and M{\"o}nich, U. J.},
   title = {Downsampling of Bounded Bandlimited Signals and the Bandlimited Interpolation: Analytic Properties and Computability},
   journal = {IEEE Transactions on Signal Processing},
   volume = {67},
   number = {24},
   year = {2019},
   pages = {6424--6439},
   doi = {10.1109/TSP.2019.2954972},
}

@inproceedings{BM19b,
   author = {Boche, H. and M{\"o}nich, U. J.},
   title = {On the {F}ourier Representation of Computable Continuous Signals},
   booktitle = {ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2019},
   pages = {5013--5017},
   doi = {10.1109/ICASSP.2019.8683074},
}

@article{BM20,
   author = {Boche, Holger and M\"{o}nich, Ullrich J.},
   title = {Turing computability of {F}ourier transforms of bandlimited and discrete signals},
   journal = {IEEE Transactions on Signal Processing},
   volume = {68},
   year = {2020},
   pages = {532--547},
   doi = {10.1109/TSP.2020.2964204},
}

@inproceedings{BM20a,
   author = {Boche, H. and M{\"o}nich, U. J.},
   title = {Optimal Sampling Rate and Bandwidth of Bandlimited Signals -- an Algorithmic Perspective},
   booktitle = {ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2020},
   pages = {5905--5909},
   doi = {10.1109/ICASSP40776.2020.9053158},
}

@inproceedings{BM20b,
   author = {Boche, H. and M{\"o}nich, U. J.},
   title = {Computability of the Peak Value of Bandlimited Signals},
   booktitle = {ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2020},
   pages = {5280--5284},
   doi = {10.1109/ICASSP40776.2020.9053211},
}

@inproceedings{BM20c,
   author = {Boche, H. and M{\"o}nich, U. J.},
   title = {Effective Approximation of Bandlimited Signals and Their Samples},
   booktitle = {ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2020},
   pages = {5590--5594},
   doi = {10.1109/ICASSP40776.2020.9053196},
}

@article{BM20d,
   author = {Brown, Tyler and McNicholl, Timothy H.},
   title = {Analytic computable structure theory and $L^p$-spaces part 2},
   journal = {Archive for Mathematical Logic},
   volume = {59},
   year = {2020},
   pages = {427--443},
   doi = {10.1007/s00153-019-00697-4},
}

@article{BM20e,
   author = {Boche, Holger and M\"{o}nich, Ullrich J.},
   title = {Turing meets {S}hannon: computable sampling type reconstruction with error control},
   journal = {IEEE Transactions on Signal Processing},
   volume = {68},
   year = {2020},
   pages = {6350--6365},
   doi = {10.1109/TSP.2020.3035913},
}

@article{BM21,
   author = {Boche, Holger and M\"{o}nich, Ullrich J.},
   title = {On the solvability of the peak value problem for bandlimited signals with applications},
   journal = {IEEE Transactions on Signal Processing},
   volume = {69},
   year = {2021},
   pages = {103--118},
   doi = {10.1109/TSP.2020.3042005},
}

@article{BM21a,
   author = {Boche, Holger and M\"{o}nich, Ullrich J.},
   title = {Algorithmic computability of the signal bandwidth},
   journal = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory},
   volume = {67},
   number = {4},
   year = {2021},
   pages = {2450--2471},
   doi = {10.1109/TIT.2021.3057672},
}

@article{BM21b,
   author = {Boche, Holger and M\"{o}nich, Ullrich J.},
   title = {Computable time concentration of bandlimited signals and systems},
   journal = {IEEE Transactions on Signal Processing},
   volume = {69},
   year = {2021},
   pages = {5523--5538},
   doi = {10.1109/TSP.2021.3112292},
}

@article{BM37,
   author = {Banach, Stefan and Mazur, Stanis{\l}aw},
   title = {Sur les fonctions calculables},
   journal = {Annales de la Soci{\'e}t{\'e} Polonaise de Math{\'e}matique},
   volume = {16},
   year = {1937},
   pages = {219},
}

@article{BM84,
   author = {Bridges, D.S. and Mines, R.},
   title = {What is constructive mathematics?},
   journal = {The Mathematical Intelligencer},
   volume = {6},
   number = {4},
   year = {1984},
   pages = {32--38},
}

@article{BM98,
   author = {Bridges, Douglas S. and Mines, Ray},
   title = {Sequentially continuous linear mappings in constructive analysis},
   journal = {The Journal of Symbolic Logic},
   volume = {63},
   number = {2},
   year = {1998},
   pages = {579--583},
}

@article{BMM20,
   author = {Brown, Tyler A. and McNicholl, Timothy H. and Melnikov, Alexander G.},
   title = {On the complexity of classifying {L}ebesgue spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {85},
   number = {3},
   year = {2020},
   pages = {1254--1288},
   doi = {10.1017/jsl.2020.63},
}

@article{BMN16,
   author = {Brattka, Vasco and Miller, Joseph S. and Nies, Andr{\'e}},
   title = {Randomness and Differentiability},
   journal = {Transactions of the American Mathematical Society},
   volume = {368},
   number = {1},
   year = {2016},
   pages = {581--605},
   doi = {10.1090/tran/6484},
}

@article{BMRS04,
   author = {Bridges, Douglas S. and Mines, Ray and Richman, Fred and Schuster, Peter},
   title = {The polydisk {N}ullstellensatz},
   journal = {Proceedings of the American Mathematical Society},
   volume = {132},
   number = {7},
   year = {2004},
   pages = {2133--2140},
}

@incollection{BMST16,
   author = {Berger, Ulrich and Miyamoto, Kenji and Schwichtenberg, Helmut and Tsuiki, Hideki},
   title = {Logic for {G}ray-code computation},
   booktitle = {Concepts of proof in mathematics, philosophy, and computer science},
   series = {Ontos Math. Log.},
   volume = {6},
   publisher = {De Gruyter},
   address = {Berlin},
   year = {2016},
   pages = {69--110},
}

@article{Boe05,
   author = {Boehm, Hans-J.},
   title = {The constructive reals as a {J}ava library},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {64},
   year = {2005},
   pages = {3--11},
}

@article{Bor12,
   author = {Borel, {\'E}mil},
   title = {Le calcul des int\'egral d\'efinies},
   journal = {Journal de Mathematiques pures et appliqu\'ees},
   volume = {8},
   number = {2},
   year = {1912},
   pages = {159--210},
}

@incollection{Bor50,
   author = {Borel, {\'{E}}mile},
   title = {{La th\'{e}orie de la mesure et al th\'{e}orie de l'integration}},
   booktitle = {{Le\c{c}ons sur la th\'{e}orie des fonctions}},
   edition = {4},
   publisher = {Gauthier-Villars},
   address = {Paris},
   year = {1950},
   pages = {214--256},
}

@book{Bor72,
   author = {Borel, {\'E}mil},
   title = {Euvres de {\'E}mil {B}orel Vol. 1--4},
   publisher = {\'Editions du CNRS},
   address = {Paris},
   year = {1972},
}

@inproceedings{Bos07,
   author = {Bosserhoff, Volker},
   title = {Computability of solutions of operator equations},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {179--202},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Bos07a,
   author = {Bosserhoff, Volker},
   title = {Computability of solutions of operator equations},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {326--344},
}

@inproceedings{Bos08,
   author = {Bosserhoff, Volker},
   title = {Notions of Probabilistic Computability on Represented Spaces},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {137--170},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Bos08a,
   author = {Bosserhoff, Volker},
   title = {The Bit-Complexity of Finding Nearly Optimal Quadrature Rules for Weighted Integration},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {938--955},
}

@article{Bos08b,
   author = {Bosserhoff, Volker},
   title = {Notions of Probabilistic Computability on Represented Spaces},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {956--995},
}

@article{Bos08c,
   author = {Bosserhoff, Volker},
   title = {Are unbounded linear operators computable on the average for {G}aussian measures?},
   journal = {Journal of Complexity},
   volume = {24},
   number = {4},
   year = {2008},
   pages = {477--491},
}

@inproceedings{Bos08e,
   author = {Bosserhoff, Volker},
   title = {On the Effective Existence of {S}chauder Bases (Extended Abstract)},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {17--21},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@phdthesis{Bos08f,
   author = {Bosserhoff, Volker},
   title = {Computable Functional Analysis and Probabilistic Computability},
   school = {University of the Armed Forces},
   address = {Munich},
   year = {2008},
}

@article{Bos09,
   author = {Bosserhoff, Volker},
   title = {On the effective existence of {S}chauder bases},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1145--1161},
}

@article{Bou06,
   author = {Bournez, Olivier},
   title = {How much can analog and hybrid systems be proved (super-){T}uring},
   journal = {Applied Mathematics and Computation},
   volume = {178},
   number = {1},
   year = {2006},
   pages = {58--71},
   doi = {10.1016/j.amc.2005.09.070},
}

@inproceedings{Bou20,
   author = {Bournez, Olivier},
   title = {Computability, Complexity and Programming with Ordinary Differential Equations (Invited Talk)},
   editor = {Paul, Christophe and Bl{\"a}ser, Markus},
   booktitle = {37th International Symposium on Theoretical Aspects of Computer Science ({STACS} 2020)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {154},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2020},
   pages = {3:1--3:13},
   doi = {10.4230/LIPIcs.STACS.2020.3},
}

@article{BP03,
   author = {Brattka, Vasco and Presser, Gero},
   title = {Computability on subsets of metric spaces},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {43--76},
}

@article{BP03a,
   author = {Bridges, Douglas S. and Popa, Gabriela},
   title = {Exact, continuous boundary crossings out of convex sets in $R^N$},
   journal = {The Quarterly Journal of Mathematics},
   volume = {54},
   number = {4},
   year = {2003},
   pages = {391--398},
}

@inproceedings{BP10,
   author = {Brattka, Vasco and Pauly, Arno},
   title = {Computation with Advice},
   editor = {Zheng, Xizhong and Zhong, Ning},
   booktitle = {{CCA} 2010, Proceedings of the Seventh International Conference on Computability and Complexity in Analysis},
   series = {Electronic Proceedings in Theoretical Computer Science},
   volume = {24},
   year = {2010},
   pages = {41--55},
}

@inproceedings{BP17a,
   author = {Bournez, Olivier and Pouly, Amaury},
   title = {A universal ordinary differential equation},
   editor = {Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl, Anca},
   booktitle = {44th {I}nternational {C}olloquium on {A}utomata, {L}anguages, and {P}rogramming},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {80},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   address = {Dagstuhl, Germany},
   year = {2017},
   pages = {Art. No. 116, 14},
   doi = {10.4230/LIPIcs.ICALP.2017.116},
}

@article{BP18,
   author = {Brattka, Vasco and Pauly, Arno},
   title = {On the Algebraic Structure of {W}eihrauch Degrees},
   journal = {Logical Methods in Computer Science},
   volume = {14},
   number = {4:4},
   year = {2018},
   pages = {1--36},
   doi = {10.23638/LMCS-14(4:4)2018},
}

@inproceedings{BP18a,
   author = {Boche, H. and Pohl, V.},
   title = {On the Computability of System Approximations Under Causality Constraints},
   booktitle = {2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2018},
   pages = {4559--4563},
   doi = {10.1109/ICASSP.2018.8461586},
}

@inproceedings{BP19,
   author = {Boche, H. and Pohl, V.},
   title = {The Divergence of all Sampling-based Methods for Calculating the Spectral Factorization},
   booktitle = {2019 IEEE 58th Conference on Decision and Control (CDC)},
   year = {2019},
   pages = {7714--7720},
   doi = {10.1109/CDC40024.2019.9030276},
}

@inproceedings{BP19a,
   author = {Boche, H. and Pohl, V.},
   title = {The Solvability Complexity Index of Sampling-based {H}ilbert Transform Approximations},
   booktitle = {2019 13th International conference on Sampling Theory and Applications (SampTA)},
   year = {2019},
   pages = {1--4},
   doi = {10.1109/SampTA45681.2019.9030934},
}

@inproceedings{BP19b,
   author = {Boche, H. and Pohl, V.},
   title = {Energy Blowup of Sampling-based Approximation Methods},
   booktitle = {ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2019},
   pages = {5082--5086},
   doi = {10.1109/ICASSP.2019.8682984},
}

@article{BP20,
   author = {Bournez, Olivier and Pouly, Amaury},
   title = {A Universal Ordinary Differential Equation},
   journal = {Logical Methods in Computer Science},
   volume = {16},
   number = {1},
   year = {2020},
   month = Feb,
   pages = {28:1-28:37},
   doi = {10.23638/LMCS-16(1:28)2020},
}

@article{BP20a,
   author = {Boche, Holger and Pohl, Volker},
   title = {Investigations on the approximability and computability of the {H}ilbert transform with applications},
   journal = {Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications},
   volume = {48},
   number = {2},
   year = {2020},
   pages = {706--730},
   doi = {10.1016/j.acha.2018.09.001},
}

@article{BP20b,
   author = {Boche, Holger and Pohl, Volker},
   title = {Calculating the spectral factorization and outer functions by sampling-based approximations---fundamental limitations},
   journal = {Journal of Approximation Theory},
   volume = {257},
   year = {2020},
   pages = {105450, 18},
   doi = {10.1016/j.jat.2020.105450},
}

@article{BP20c,
   author = {Boche, Holger and Pohl, Volker},
   title = {On the algorithmic solvability of spectral factorization and applications},
   journal = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory},
   volume = {66},
   number = {7},
   year = {2020},
   pages = {4574--4592},
   doi = {10.1109/TIT.2020.2968028},
}

@article{BP20d,
   author = {Boche, Holger and Pohl, Volker},
   title = {On approximations for functions in the space of uniformly convergent {F}ourier series},
   journal = {Journal of Approximation Theory},
   volume = {249},
   year = {2020},
   pages = {105307, 28},
   doi = {10.1016/j.jat.2019.105307},
}

@inproceedings{BP20e,
   author = {Boche, H. and Pohl, V.},
   title = {Can every analog system be simulated on a digital computer?},
   booktitle = {ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2020},
   pages = {1783--1787},
   doi = {10.1109/ICASSP40776.2020.9054494},
}

@article{BP20f,
   author = {Boche, H. and Pohl, V.},
   title = {Turing Meets Circuit Theory: Not Every Continuous-Time {LTI} System Can Be Simulated on a Digital Computer},
   journal = {IEEE Transactions on Circuits and Systems I: Regular Papers},
   year = {2020},
   pages = {1--14},
   doi = {10.1109/TCSI.2020.3018619},
}

@inproceedings{BP20g,
   author = {Boche, H. and Pohl, V.},
   title = {Computing {H}ilbert Transform and Spectral Factorization for Signal Spaces of Smooth Functions},
   booktitle = {ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2020},
   pages = {5300--5304},
   doi = {10.1109/ICASSP40776.2020.9053807},
}

@incollection{BP21,
   author = {Bournez, Olivier and Pouly, Amaury},
   title = {A Survey on Analog Models of Computation},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {173--226},
   doi = {10.1007/978-3-030-59234-9_6},
}

@article{BP22,
   author = {Boche, Holger and Pohl, Volker},
   title = {On Non-Detectability of Non-Computability and the Degree of Non-Computability of Solutions of Circuit and Wave Equations on Digital Computers},
   journal = {IEEE Transactions on Information Theory},
   volume = {68},
   number = {8},
   year = {2022},
   pages = {5561--5578},
   doi = {10.1109/TIT.2022.3172837},
}

@article{BPS20,
   author = {Brecht, Matthew de and Pauly, Arno and Schr\"{o}der, Matthias},
   title = {Overt choice},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {169--191},
   doi = {10.3233/com-190253},
}

@article{BR17,
   author = {Brattka, Vasco and Rakotoniaina, Tahina},
   title = {On the Uniform Computational Content of {R}amsey's Theorem},
   journal = {Journal of Symbolic Logic},
   volume = {82},
   number = {4},
   year = {2017},
   pages = {1278--1316},
   doi = {10.1017/jsl.2017.43},
}

@article{BR87,
   author = {Brady, S.S. and Remmel, J.B.},
   title = {The undecidability of the lattice of r.e. closed subsets of an effective topological space},
   journal = {Annals of Pure and Applied Logic},
   volume = {35},
   year = {1987},
   pages = {193--203},
}

@book{BR87a,
   author = {Bridges, Douglas S. and Richman, Fred},
   title = {Varieties of Constructive Mathematics},
   series = {London Mathematical Society Lecture Note Series},
   volume = {97},
   publisher = {Cambridge University Press},
   address = {Cambridge},
   year = {1987},
}

@article{BR91,
   author = {Bridges, Douglas S. and Richman, Fred},
   title = {A recursive counterexample to {D}ebreu's theorem on the existence of a utility function},
   journal = {Mathematical Social Sciences},
   volume = {21},
   number = {2},
   year = {1991},
   pages = {179--182},
}

@article{BR99,
   author = {Bridges, Douglas S. and Reeves, Steve},
   title = {Constructive mathematics in theory and programming practice},
   journal = {Philosophia Mathematica. Philosophy of Mathematics, its Learning, and its Application. Series III},
   volume = {7},
   number = {1},
   year = {1999},
   pages = {65--104},
}

@inproceedings{Bra00a,
   author = {Brattka, Vasco},
   title = {Realistic models of computability on the real numbers},
   editor = {Yoshikawa, Atsushi},
   booktitle = {Relevance and Feasibility of Mathematical Analysis on the Computer},
   series = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
   volume = {1169},
   publisher = {Research Institute for Mathematical Sciences},
   address = {Kyoto},
   year = {2000},
   pages = {62--75},
}

@inproceedings{Bra01a,
   author = {Brattka, Vasco},
   title = {Computable versions of {B}aire's category theorem},
   editor = {Sgall, Ji{\v{r}}{\'{\i}} and Pultr, Ale{\v{s}} and Kolman, Petr},
   booktitle = {Mathematical Foundations of Computer Science 2001},
   series = {Lecture Notes in Computer Science},
   volume = {2136},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {224--235},
   note = {26th International Symposium, MFCS 2001, Mari{\'{a}}nsk{\'{e}} L{\'{a}}zn{\v{e}}, Czech Republic, August 27-31, 2001},
}

@inproceedings{Bra02b,
   author = {Brattka, Vasco},
   title = {Random Numbers and an Incomplete Immune Recursive Set},
   editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {2380},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {950--961},
   note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July 8--13, 2002},
}

@article{Bra02c,
   author = {Brattka, Vasco},
   title = {Some notes on {F}ine computability},
   journal = {Journal of Universal Computer Science},
   volume = {8},
   number = {3},
   year = {2002},
   pages = {382--395},
   doi = {10.3217/jucs-008-03-0382},
}

@inproceedings{Bra02d,
   author = {Brattka, Vasco},
   title = {Computing Uniform Bounds},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@phdthesis{Bra02e,
   author = {Brattka, Vasco},
   title = {Computability on Asymmetric Spaces},
   school = {Department of Computer Science, University of Hagen},
   address = {Hagen, Germany},
   year = {2002},
   note = {Habilitation Thesis},
}

@incollection{Bra03,
   author = {Brattka, Vasco},
   title = {Computability over Topological Structures},
   editor = {Cooper, S. Barry and Goncharov, Sergey S.},
   booktitle = {Computability and Models},
   publisher = {Kluwer Academic Publishers},
   address = {New York},
   year = {2003},
   pages = {93--136},
}

@inproceedings{Bra03b,
   author = {Brattka, Vasco},
   title = {The Inversion Problem for Computable Linear Operators},
   editor = {Alt, Helmut and Habib, Michel},
   booktitle = {STACS 2003},
   series = {Lecture Notes in Computer Science},
   volume = {2607},
   publisher = {Springer},
   address = {Berlin},
   year = {2003},
   pages = {391--402},
   note = {20th Annual Symposium on Theoretical Aspects of Computer Science, Berlin, Germany, February 27--March 1, 2003},
}

@article{Bra03c,
   author = {Brattka, Vasco},
   title = {Effective Representations of the Space of Linear Bounded Operators},
   journal = {Applied General Topology},
   volume = {4},
   number = {1},
   year = {2003},
   pages = {115--131},
   doi = {10.4995/agt.2003.2014},
}

@article{Bra03e,
   author = {Brattka, Vasco},
   title = {Recursive Quasi-Metric Spaces},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {17--42},
}

@inproceedings{Bra03f,
   author = {Brattka, Vasco},
   title = {The Emperor's New Recursiveness: The Epigraph of the Exponential Function in Two Models of Computability},
   editor = {Ito, Masami and Imaoka, Teruo},
   booktitle = {Words, Languages \& Combinatorics III},
   publisher = {World Scientific Publishing},
   address = {Singapore},
   year = {2003},
   pages = {63--72},
   note = {ICWLC 2000, Kyoto, Japan, March 14--18, 2000},
}

@incollection{Bra04,
   author = {Brattka, Vasco},
   title = {Du 13-i{\`e}me probl{\`e}me de {H}ilbert {\`a} la th{\'e}orie des r{\'e}seaux de neurones : aspects constructifs du th{\'e}or{\`e}me de superposition de {K}olmogorov},
   editor = {Charpentier, {\'E}ric and Lesne, Annick and Nikolski, Nikola{\"\i}},
   booktitle = {L'h{\'e}ritage de {K}olmogorov en math{\'e}matiques},
   publisher = {{\'E}ditions Belin},
   address = {Paris},
   year = {2004},
   pages = {241--268},
}

@article{Bra05,
   author = {Brattka, Vasco},
   title = {Effective {B}orel measurability and reducibility of functions},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {1},
   year = {2005},
   pages = {19--44},
}

@inproceedings{Bra05a,
   author = {Brattka, Vasco},
   title = {On the {B}orel Complexity of {H}ahn-{B}anach Extensions},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {3--16},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{Bra05b,
   author = {Braverman, Mark},
   title = {Hyperbolic {J}ulia Sets are Poly-Time Computable},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {17--30},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@incollection{Bra05d,
   author = {Brattka, Vasco},
   title = {Computability on Non-Separable {B}anach Spaces and {L}andau's Theorem},
   editor = {Crosilla, Laura and Schuster, Peter},
   booktitle = {From Sets and Types to Topology and Analysis: Towards Practicable Foundations for Constructive Mathematics},
   publisher = {Oxford University Press},
   year = {2005},
   pages = {316--333},
}

@inproceedings{Bra05e,
   author = {Braverman, Mark},
   title = {On the Complexity of Real Functions},
   booktitle = {Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science},
   series = {FOCS '05},
   publisher = {IEEE Computer Society},
   address = {Washington, DC, USA},
   year = {2005},
   pages = {155--164},
   doi = {10.1109/SFCS.2005.58},
}

@inproceedings{Bra06,
   author = {Brattka, Vasco},
   title = {Computable Versions of the Uniform Boundedness Theorem},
   editor = {Chatzidakis, Z. and Koepke, P. and Pohlers, W.},
   booktitle = {Logic Colloquium 2002},
   series = {Lecture Notes in Logic},
   volume = {27},
   publisher = {Association for Symbolic Logic},
   address = {Urbana},
   year = {2006},
   pages = {130--151},
}

@article{Bra06a,
   author = {Braverman, Mark},
   title = {Parabolic {J}ulia sets are polynomial time computable},
   journal = {Nonlinearity},
   volume = {19},
   number = {6},
   year = {2006},
   pages = {1383--1401},
}

@incollection{Bra07,
   author = {Brattka, Vasco},
   title = {From {H}ilbert's 13th {P}roblem to the theory of neural networks: constructive aspects of {K}olmogorov's {S}uperposition {T}heorem},
   editor = {Charpentier, {\'E}ric and Lesne, Annick and Nikolski, Nikola{\"\i}},
   booktitle = {Kolmogorov's Heritage in Mathematics},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {253--280},
}

@article{Bra08,
   author = {Brattka, Vasco},
   title = {Plottable real number functions and the computable graph theorem},
   journal = {SIAM Journal on Computing},
   volume = {38},
   number = {1},
   year = {2008},
   pages = {303--328},
}

@phdthesis{Bra08a,
   author = {Braverman, Mark},
   title = {Computability and Complexity of {J}ulia Sets},
   school = {University of Toronto},
   address = {Toronto, Canada},
   year = {2008},
}

@article{Bra08b,
   author = {Brattka, Vasco},
   title = {Borel Complexity and Computability of the {H}ahn-{B}anach {T}heorem},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {547--564},
}

@article{Bra09,
   author = {Brattka, Vasco},
   title = {A computable version of {B}anach's Inverse Mapping Theorem},
   journal = {Annals of Pure and Applied Logic},
   volume = {157},
   year = {2009},
   pages = {85--96},
}

@article{Bra13,
   author = {Braverman, Mark},
   title = {Computing with Real Numbers, from {A}rchimedes to {T}uring and Beyond},
   journal = {Communications of the ACM},
   volume = {56},
   number = {9},
   publisher = {ACM},
   address = {New York, NY, USA},
   year = {2013},
   month = sep,
   pages = {74--83},
   doi = {10.1145/2500890},
}

@inproceedings{Bra16,
   author = {Brattka, Vasco},
   title = {Computability and Analysis, a Historical Approach},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {45--57},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_5},
}

@article{Bra18,
   author = {Brattka, Vasco},
   title = {A {G}alois connection between {T}uring jumps and limits},
   journal = {Logical Methods in Computer Science},
   volume = {14},
   number = {3:13},
   year = {2018},
   month = Aug,
   pages = {1--37},
   doi = {10.23638/LMCS-14(3:13)2018},
}

@article{Bra21,
   author = {Brattka, Vasco},
   title = {Stashing-Parallelization Pentagons},
   journal = {Logical Methods in Computer Science},
   volume = {17},
   number = {4},
   year = {2021},
   pages = {20:1-20:29},
   doi = {10.46298/LMCS-17(4:20)2021},
}

@incollection{Bra22a,
   author = {Brattka, Vasco},
   title = {Weihrauch complexity and the {H}agen school of computable analysis},
   editor = {L{\"o}we, Benedikt and Sarikaya, Deniz},
   booktitle = {60 {J}ahre {DVMLG}},
   series = {Tributes},
   volume = {48},
   publisher = {College Publications},
   address = {London},
   year = {2022},
   pages = {13--44},
}

@article{Bra23,
   author = {Brattka, Vasco},
   title = {The Discontinuity Problem},
   journal = {Journal of Symbolic Logic},
   volume = {88},
   number = {3},
   year = {2023},
   pages = {1191--1212},
   doi = {10.1017/jsl.2021.106},
}

@inproceedings{Bra23a,
   author = {Brattka, Vasco},
   title = {On the complexity of learning programs},
   editor = {Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin},
   booktitle = {Unity of Logic and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {13967},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {166--177},
   note = {19th Conference on Computability in Europe},
   doi = {10.1007/978-3-031-36978-0_14},
}

@inproceedings{Bra95,
   author = {Brattka, Vasco},
   title = {Computable selection in analysis},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {125--138},
   note = {{CCA} Workshop, Hagen, August 19--20, 1995},
}

@article{Bra96,
   author = {Brattka, Vasco},
   title = {Recursive characterization of computable real-valued functions and relations},
   journal = {Theoretical Computer Science},
   volume = {162},
   year = {1996},
   pages = {45--77},
}

@article{Bra97,
   author = {Brattka, Vasco},
   title = {Order-free Recursion on the Real Numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {43},
   year = {1997},
   pages = {216--234},
   doi = {10.1002/malq.19970430206},
}

@inproceedings{Bra97a,
   author = {Brattka, Vasco},
   title = {Computable Invariance},
   editor = {Jiang, Tao and Lee, D.T.},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {1276},
   publisher = {Springer},
   address = {Berlin},
   year = {1997},
   pages = {146--155},
   note = {Third Annual Conference, COCOON'97, Shanghai, China, August 1997},
}

@phdthesis{Bra98b,
   author = {Brattka, Vasco},
   title = {Recursive and Computable Operations over Topological Structures},
   school = {Department of Computer Science, University of Hagen},
   address = {Hagen, Germany},
   year = {1998},
   note = {{Ph.D.} thesis},
}

@article{Bra99,
   author = {Brattka, Vasco},
   title = {Computable invariance},
   journal = {Theoretical Computer Science},
   volume = {210},
   year = {1999},
   pages = {3--20},
}

@inproceedings{Bra99a,
   author = {Brattka, Vasco},
   title = {A Stability Theorem for Recursive Analysis},
   editor = {Cristian S. Calude and Michael J. Dinneen},
   booktitle = {Combinatorics, Computation \& Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {Singapore},
   year = {1999},
   pages = {144--158},
   note = {Proceedings of DMTCS'99 and CATS'99, Auckland, New Zealand, January 1999},
}

@article{Bri00,
   author = {Bridges, Douglas S.},
   title = {Converses of {B}ishop's lemma on located sets},
   journal = {Indagationes Mathematicae},
   volume = {11},
   number = {1},
   year = {2000},
   pages = {31--38},
}

@article{Bri00a,
   author = {Bridges, Douglas S.},
   title = {A constructive look at functions of bounded variation},
   journal = {Bull. London Math. Soc.},
   volume = {32},
   number = {3},
   year = {2000},
   pages = {316--324},
}

@article{Bri00b,
   author = {Bridges, Douglas S.},
   title = {Constructive methods in {B}anach algebra theory},
   journal = {Mathematica Japonica},
   volume = {52},
   number = {1},
   year = {2000},
   pages = {145--161},
}

@article{Bri01,
   author = {Bridges, Douglas S.},
   title = {Prime and maximal ideals in constructive ring theory},
   journal = {Communications in Algebra},
   volume = {29},
   number = {7},
   year = {2001},
   pages = {2787--2803},
}

@inproceedings{Bri01a,
   author = {Bridges, Douglas S.},
   title = {Dini's Theorem: A Constructive Case Study},
   editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
   booktitle = {Combinatorics, Computability and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {London},
   year = {2001},
   pages = {69--80},
   note = {Proceedings of DMTCS 2001},
}

@article{Bri02,
   author = {Bridges, Douglas S.},
   title = {Reality and virtual reality in mathematics},
   journal = {Bulletin of the European Association for Theoretical Computer Science},
   volume = {78},
   year = {2002},
   pages = {221--230},
}

@inproceedings{Bri03,
   author = {Bridges, Douglas S.},
   title = {First steps in constructive game theory},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {3--9},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Bri04,
   author = {Bridges, Douglas S.},
   title = {First steps in constructive game theory},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {501--506},
}

@article{Bri04a,
   author = {Bridges, Douglas S.},
   title = {Constructivity in Mathematics},
   journal = {Cubo},
   volume = {6},
   number = {1},
   year = {2004},
   pages = {209--258},
}

@article{Bri04b,
   author = {Bridges, Douglas S.},
   title = {Constructive complements of unions of two closed sets},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {3},
   year = {2004},
   pages = {293--294},
}

@incollection{Bri06,
   author = {Bridges, Douglas S.},
   title = {{C}hurch's thesis and {B}ishop's constructivism},
   editor = {Olszewski, Adam},
   booktitle = {{C}hurch's Thesis After 70 Years},
   publisher = {Ontos},
   address = {Berlin},
   year = {2006},
   pages = {58--65},
}

@inproceedings{Bri07,
   author = {Bridges, Douglas S.},
   title = {Colocatedness and {L}ebesgue Integrability},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {98--104},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{Bri07a,
   author = {Bridges, Douglas S.},
   title = {Constructing local optima on a compact interval},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   year = {2007},
   pages = {149--154},
}

@incollection{Bri07b,
   author = {Bridges, Douglas S.},
   title = {Philosophy of mathematics: 5 questions},
   editor = {Hendricks, Vincent F. and Leitgeb, Hannes},
   booktitle = {Philosophy of mathematics: 5 questions},
   publisher = {Automatic Press/VIP},
   address = {New York, London},
   year = {2007},
   pages = {45--49},
}

@article{Bri07c,
   author = {Briseid, Eyvind},
   title = {A rate of convergence for asymptotic contractions},
   journal = {J. Math. Anal. Appl.},
   volume = {330},
   year = {2007},
   pages = {364--376},
}

@article{Bri07d,
   author = {Briseid, Eyvind},
   title = {Some results on {K}irk's asymptotic contractions},
   journal = {Fixed Point Theory},
   volume = {8},
   year = {2007},
   pages = {17--27},
}

@article{Bri07g,
   author = {Briseid, E. M.},
   title = {Addendum to the paper: ``{S}ome results on {K}irk's asymptotic contractions'' [{F}ixed {P}oint {T}heory {\bf 8} (2007), no. 1, 17--27},
   journal = {Fixed Point Theory},
   volume = {8},
   number = {2},
   year = {2007},
   pages = {321--322},
}

@article{Bri08,
   author = {Bridges, Douglas S.},
   title = {Uniform continuity properties of preference relations},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {49},
   number = {1},
   year = {2008},
   pages = {97--106},
}

@article{Bri08a,
   author = {Bridges, Douglas S.},
   title = {Product a-frames and proximity},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {1},
   year = {2008},
   pages = {12--25},
}

@article{Bri08b,
   author = {Briseid, E. M.},
   title = {Fixed points of generalized contractive mappings},
   journal = {Journal of Nonlinear and Convex Analysis},
   volume = {9},
   number = {2},
   year = {2008},
   pages = {181--204},
}

@article{Bri09,
   author = {Bridges, Douglas S.},
   title = {Constructive notions of equicontinuity},
   journal = {Archive for Mathematical Logic},
   volume = {48},
   number = {5},
   year = {2009},
   pages = {437--448},
   doi = {10.1007/s00153-009-0131-9},
}

@article{Bri09a,
   author = {Briseid, Eyvind Martol},
   title = {Logical aspects of rates of convergence in metric spaces},
   journal = {Journal of Symbolic Logic},
   volume = {74},
   number = {4},
   year = {2009},
   pages = {1401--1428},
   doi = {10.2178/jsl/1254748697},
}

@article{Bri10,
   author = {Bridges, Douglas S.},
   title = {Continuity and {L}ipschitz constants for projections},
   journal = {J. Log. Algebr. Program.},
   volume = {79},
   number = {1},
   year = {2010},
   pages = {2--9},
   doi = {10.1016/j.jlap.2009.02.002},
}

@article{Bri10a,
   author = {Bridges, Douglas S.},
   title = {Inheriting the anti-{S}pecker property},
   journal = {Doc. Math.},
   volume = {15},
   year = {2010},
   pages = {973--980},
}

@article{Bri10b,
   author = {Briseid, Eyvind Martol},
   title = {A new uniformity for asymptotic contractions in the sense of {K}irk},
   journal = {Int. J. Math. Stat.},
   volume = {6},
   number = {S10},
   year = {2010},
   pages = {2--13},
}

@article{Bri11,
   author = {Bridges, Douglas S.},
   title = {Omniscience, sequential compactness, and the anti-{S}pecker property},
   journal = {Log. J. IGPL},
   volume = {19},
   number = {1},
   year = {2011},
   pages = {53--61},
   doi = {10.1093/jigpal/jzq001},
}

@article{Bri11a,
   author = {Bridges, Douglas S.},
   title = {The anti-{S}pecker property, uniform sequential continuity, and a countable compactness property},
   journal = {Log. J. IGPL},
   volume = {19},
   number = {1},
   year = {2011},
   pages = {174--182},
   doi = {10.1093/jigpal/jzq039},
}

@article{Bri11b,
   author = {Bridges, Douglas S.},
   title = {Locating subsets of {$B(H)$} relative to seminorms inducing the strong-operator topology},
   journal = {J. Log. Anal.},
   volume = {3},
   year = {2011},
   pages = {Paper 3, 11},
   doi = {10.4115/jla.2011.3.3},
}

@article{Bri11c,
   author = {Bridges, Douglas S.},
   title = {Characterising weak-operator continuous linear functionals on {$B(H)$} constructively},
   journal = {Doc. Math.},
   volume = {16},
   year = {2011},
   pages = {597--617},
}

@article{Bri12,
   author = {Bridges, Douglas S.},
   title = {Reflections on function spaces},
   journal = {Ann. Pure Appl. Logic},
   volume = {163},
   number = {2},
   year = {2012},
   pages = {101--110},
   doi = {10.1016/j.apal.2011.06.018},
}

@article{Bri12a,
   author = {Bridges, Douglas S.},
   title = {Almost new pre-apartness from old},
   journal = {Ann. Pure Appl. Logic},
   volume = {163},
   number = {8},
   year = {2012},
   pages = {1009--1015},
   doi = {10.1016/j.apal.2011.12.023},
}

@article{Bri12b,
   author = {Bridges, Douglas S.},
   title = {Compactness notions for an apartness space},
   journal = {Arch. Math. Logic},
   volume = {51},
   number = {5-6},
   year = {2012},
   pages = {517--534},
   doi = {10.1007/s00153-012-0279-6},
}

@article{Bri12c,
   author = {Bridges, Douglas S.},
   title = {Precompact apartness spaces},
   journal = {Log. Methods Comput. Sci.},
   volume = {8},
   number = {2},
   year = {2012},
   pages = {2:15, 10},
   doi = {10.2168/LMCS-8(2:15)2012},
}

@article{Bri12d,
   author = {Bridges, Douglas S.},
   title = {How to construct a product of a-frames},
   journal = {Math. Log. Q.},
   volume = {58},
   number = {4-5},
   year = {2012},
   pages = {281--293},
   doi = {10.1002/malq.201110059},
}

@incollection{Bri12e,
   author = {Bridges, Douglas S.},
   title = {Constructive Solutions of Ordinary Differential Equations},
   editor = {Ulrich Berger and Hannes Diener and Peter Schuster and Monika Seisenberger},
   booktitle = {Logic, Construction, Computation},
   series = {Ontos Mathematical Logic},
   volume = {3},
   publisher = {de Gruyter},
   year = {2012},
   pages = {67--77},
}

@article{Bri13,
   author = {Bridges, Douglas S.},
   title = {Characterising dominated weak-operator continuous functionals on subspaces of {${B}(H)$}},
   journal = {Ann. Pure Appl. Logic},
   volume = {164},
   number = {4},
   year = {2013},
   pages = {416--420},
   doi = {10.1016/j.apal.2012.10.005},
}

@article{Bri14,
   author = {Bridges, Douglas S.},
   title = {Locating {$Ax$}, where {$A$} is a subspace of {$B(H)$}},
   journal = {Log. Methods Comput. Sci.},
   number = {The Ninth International Conference on Computability and Complexity in Analysis (CCA) 2012},
   year = {2014},
   pages = {2:9, 10},
   doi = {10.2168/LMCS-10(2:9)2014},
}

@article{Bri14a,
   author = {Bridges, Douglas S.},
   title = {Tightly bordered convex and co-convex sets},
   journal = {Sci. Math. Jpn.},
   volume = {77},
   number = {1},
   year = {2014},
   pages = {45--57},
}

@article{Bri14b,
   author = {Bridges, Douglas S.},
   title = {Tightly bordered convex and co-convex sets},
   journal = {Scientiae Mathematicae Japonicae},
   volume = {77},
   number = {1},
   year = {2014},
   pages = {45--57},
}

@article{Bri16,
   author = {Bridges, Douglas S.},
   title = {Apartness spaces and uniform neighbourhood structures},
   journal = {Annals of Pure and Applied Logic},
   volume = {167},
   number = {9},
   year = {2016},
   pages = {850--864},
   doi = {10.1016/j.apal.2016.04.007},
}

@incollection{Bri16a,
   author = {Bridges, Douglas S.},
   title = {The continuum hypothesis implies excluded middle},
   booktitle = {Concepts of proof in mathematics, philosophy, and computer science},
   series = {Ontos Math. Log.},
   volume = {6},
   publisher = {De Gruyter, Berlin},
   year = {2016},
   pages = {111--114},
}

@article{Bri18,
   author = {Bridges, Douglas S.},
   title = {Intuitionistic sequential compactness?},
   journal = {Indagationes Mathematicae},
   volume = {29},
   number = {6},
   year = {2018},
   pages = {1477--1496},
   doi = {10.1016/j.indag.2017.10.011},
}

@incollection{Bri23,
   author = {Bridges, Douglas S.},
   title = {Reflections on 50 Years of Constructive Research},
   booktitle = {Mathematics for computation ({M}4{C})},
   publisher = {World Scientific},
   address = {Hackensack, NJ},
   year = {2023},
   pages = {1--24},
   doi = {10.1142/9789811245220_0001},
}

@article{Bri76,
   author = {Bridges, Douglas S.},
   title = {Some notes on continuity in constructive analysis},
   journal = {Bull. London Math. Soc.},
   volume = {8},
   number = {2},
   year = {1976},
   pages = {179--182},
}

@article{Bri77,
   author = {Bridges, Douglas S.},
   title = {A constructive look at orthonormal bases in {H}ilbert space},
   journal = {Amer. Math. Monthly},
   volume = {84},
   number = {3},
   year = {1977},
   pages = {189--191},
}

@article{Bri77a,
   author = {Bridges, Douglas S.},
   title = {The constructive {R}adon-{N}ikod\'ym theorem},
   journal = {Pacific J. Math.},
   volume = {70},
   number = {1},
   year = {1977},
   pages = {51--65},
}

@article{Bri78,
   author = {Bridges, Douglas S.},
   title = {A note on {M}orse's lambda-notation in set theory},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {24},
   number = {2},
   year = {1978},
   pages = {113--114},
}

@article{Bri78a,
   author = {Bridges, Douglas S.},
   title = {On weak operator compactness of the unit ball of ${L}({H})$},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {24},
   number = {6},
   year = {1978},
   pages = {493--494},
}

@article{Bri78b,
   author = {Bridges, Douglas S.},
   title = {On the connectivity of convex sets},
   journal = {The Bulletin of the London Mathematical Society},
   volume = {10},
   number = {1},
   year = {1978},
   pages = {86--90},
}

@article{Bri78c,
   author = {Bridges, Douglas S.},
   title = {On continuous mappings between locally compact metric spaces},
   journal = {The Bulletin of the London Mathematical Society},
   volume = {10},
   number = {2},
   year = {1978},
   pages = {201--208},
}

@article{Bri78d,
   author = {Bridges, D. S.},
   title = {More on the connectivity of convex sets},
   journal = {Proceedings of the American Mathematical Society},
   volume = {68},
   number = {2},
   year = {1978},
   pages = {214--216},
}

@book{Bri79,
   author = {Bridges, Douglas S.},
   title = {Constructive Functional Analysis},
   publisher = {Pitman},
   address = {London},
   year = {1979},
}

@article{Bri79a,
   author = {Bridges, Douglas S.},
   title = {Connectivity properties of metric spaces},
   journal = {Pacific Journal of Mathematics},
   volume = {80},
   number = {2},
   year = {1979},
   pages = {325--331},
}

@article{Bri79b,
   author = {Bridges, Douglas S.},
   title = {On the constructive convergence of series of independent functions},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {25},
   number = {1},
   year = {1979},
   pages = {93--96},
}

@article{Bri79c,
   author = {Bridges, Douglas S.},
   title = {A criterion for compactness in metric spaces?},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {25},
   number = {2},
   year = {1979},
   pages = {97--98},
}

@article{Bri79d,
   author = {Bridges, Douglas S.},
   title = {Geometric intuition and elementary constructive analysis},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {25},
   number = {6},
   year = {1979},
   pages = {521--523},
}

@article{Bri80,
   author = {Bridges, Douglas S.},
   title = {On the foundations of best-approximation theory},
   journal = {Journal of Approximation Theory},
   volume = {28},
   number = {3},
   year = {1980},
   pages = {273--292},
}

@article{Bri80a,
   author = {Bridges, Douglas S.},
   title = {A constructive development of {C}hebyshev approximation theory},
   journal = {Journal of Approximation Theory},
   volume = {30},
   number = {2},
   year = {1980},
   pages = {99--120},
}

@inproceedings{Bri81,
   author = {Bridges, Douglas S.},
   title = {Towards a constructive foundation for quantum mechanics},
   editor = {Richman, F.},
   booktitle = {Constructive Mathematics},
   series = {Lecture Notes in Mathematics},
   volume = {873},
   year = {1981},
   pages = {260--273},
   note = {Proc. New Mexico State Univ. Conf., Aug. 11--15, 1980, Las Cruces, NM},
}

@article{Bri81a,
   author = {Bridges, Douglas S.},
   title = {A constructive look at positive linear functionals on ${L}({H})$},
   journal = {Pacific Journal of Mathematics},
   volume = {95},
   number = {1},
   year = {1981},
   pages = {11--25},
}

@article{Bri81b,
   author = {Bridges, Douglas S.},
   title = {On the isolation of zeroes of an analytic function},
   journal = {Pacific Journal of Mathematics},
   volume = {96},
   number = {1},
   year = {1981},
   pages = {13--22},
}

@article{Bri81c,
   author = {Bridges, Douglas S.},
   title = {Correction to: ``{O}n the isolation of zeroes of an analytic function''\ [{P}acific {J}. {M}ath. {\bf 96} (1981), no. 1, 13--22; {M}{R} 82k:03095]},
   journal = {Pacific Journal of Mathematics},
   volume = {97},
   number = {2},
   year = {1981},
   pages = {487--488},
}

@article{Bri81d,
   author = {Bridges, Douglas S.},
   title = {A constructive analysis of the {R}emes algorithm},
   journal = {Journal of Approximation Theory},
   volume = {32},
   number = {4},
   year = {1981},
   pages = {257--270},
}

@article{Bri81e,
   author = {Bridges, Douglas S.},
   title = {A constructive proximinality property of finite-dimensional linear subspaces},
   journal = {The Rocky Mountain Journal of Mathematics},
   volume = {11},
   number = {4},
   year = {1981},
   pages = {491--497},
}

@article{Bri81f,
   author = {Bridges, Douglas S.},
   title = {On {M}ontel's proof of the great {P}icard theorem},
   journal = {The American Mathematical Monthly},
   volume = {88},
   number = {1},
   year = {1981},
   pages = {45--47},
}

@article{Bri82,
   author = {Bridges, Douglas S.},
   title = {Preference and utility: a constructive development},
   journal = {Journal of Mathematical Economics},
   volume = {9},
   number = {1-2},
   year = {1982},
   pages = {165--185},
}

@article{Bri82a,
   author = {Bridges, Douglas S.},
   title = {Lipschitz constants and moduli of continuity for the {C}hebyshev projection},
   journal = {Proceedings of the American Mathematical Society},
   volume = {85},
   number = {4},
   year = {1982},
   pages = {557--561},
}

@incollection{Bri82b,
   author = {Bridges, Douglas S.},
   title = {Recent progress in constructive approximation theory},
   booktitle = {The L. E. J. Brouwer Centenary Symposium (Noordwijkerhout, 1981)},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1982},
   pages = {41--50},
}

@article{Bri83,
   author = {Bridges, Douglas S.},
   title = {Numerical representation of intransitive preferences on a countable set},
   journal = {Journal of Economic Theory},
   volume = {30},
   number = {1},
   year = {1983},
   pages = {213--217},
}

@article{Bri83a,
   author = {Bridges, Douglas S.},
   title = {A numerical representation of preferences with intransitive indifference},
   journal = {Journal of Mathematical Economics},
   volume = {11},
   number = {1},
   year = {1983},
   pages = {25--42},
}

@article{Bri85,
   author = {Bridges, Douglas S.},
   title = {Representing interval orders by a single real-valued function},
   journal = {Journal of Economic Theory},
   volume = {36},
   number = {1},
   year = {1985},
   pages = {149--155},
}

@article{Bri85a,
   author = {Bridges, Douglas S.},
   title = {Operator ranges, integrable sets, and the functional calculus},
   journal = {Houston Journal of Mathematics},
   volume = {11},
   number = {1},
   year = {1985},
   pages = {31--44},
}

@article{Bri86,
   author = {Bridges, Douglas S.},
   title = {Numerical representation of interval orders on a topological space},
   journal = {Journal of Economic Theory},
   volume = {38},
   number = {1},
   year = {1986},
   pages = {160--166},
}

@incollection{Bri87,
   author = {Bridges, Douglas S.},
   title = {A constructive {M}orse theory of sets},
   booktitle = {Mathematical logic and its applications (Druzhba, 1986)},
   publisher = {Plenum},
   address = {New York},
   year = {1987},
   pages = {61--79},
}

@article{Bri88,
   author = {Bridges, Douglas S.},
   title = {Locatedness, convexity, and Lebesque measurability},
   journal = {Quart. J. Math. Oxford Ser. 2},
   volume = {39},
   year = {1988},
   pages = {411--421},
}

@article{Bri88a,
   author = {Bridges, Douglas S.},
   title = {The {E}uclidean distance construction of order homomorphisms},
   journal = {Mathematical Social Sciences},
   volume = {15},
   number = {2},
   year = {1988},
   pages = {179--188},
}

@article{Bri89,
   author = {Bridges, Douglas S.},
   title = {A general constructive intermediate value theorem},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {35},
   year = {1989},
   pages = {433--435},
}

@article{Bri89a,
   author = {Bridges, Douglas S.},
   title = {The constructive theory of preference relations on a locally compact space},
   journal = {Indagationes Mathematicae},
   volume = {51},
   number = {2},
   year = {1989},
   pages = {141--165},
}

@article{Bri89b,
   author = {Bridges, Douglas S.},
   title = {Approximate interpolation by functions in a {H}aar space},
   journal = {Journal of Approximation Theory},
   volume = {57},
   number = {1},
   year = {1989},
   pages = {35--39},
}

@article{Bri90,
   author = {Bridges, Douglas S.},
   title = {Preference, indifference, and {M}arkov's principle},
   journal = {Mathematical Social Sciences},
   volume = {20},
   number = {2},
   year = {1990},
   pages = {131--145},
}

@incollection{Bri90a,
   author = {Bridges, Douglas S.},
   title = {Order isomorphisms---a constructive measure-theoretic view},
   booktitle = {Mathematical logic},
   publisher = {Plenum},
   address = {New York},
   year = {1990},
   pages = {243--255},
}

@article{Bri91,
   author = {Bridges, Douglas S.},
   title = {The constructive inequivalence of various notions of preference ordering},
   journal = {Mathematical Social Sciences},
   volume = {21},
   number = {2},
   year = {1991},
   pages = {169--176},
}

@article{Bri93,
   author = {Bridges, Douglas S.},
   title = {Sequential, pointwise, and uniform continuity: a constructive note},
   journal = {Mathematical Logic Quarterly},
   volume = {39},
   number = {1},
   year = {1993},
   pages = {55--61},
}

@article{Bri93a,
   author = {Bridges, Douglas S.},
   title = {Constructive notions of strict convexity},
   journal = {Mathematical Logic Quarterly},
   volume = {39},
   number = {3},
   year = {1993},
   pages = {295--300},
}

@incollection{Bri94a,
   author = {Bridges, Douglas S.},
   title = {A constructive look at the real number line},
   booktitle = {Real numbers, generalizations of the reals, and theories of continua},
   publisher = {Kluwer Acad. Publ.},
   address = {Dordrecht},
   year = {1994},
   pages = {29--92},
}

@article{Bri94b,
   author = {Bridges, Douglas S.},
   title = {The constructive theory of preference relations on a locally compact space. {I}{I}},
   journal = {Mathematical Social Sciences},
   volume = {27},
   number = {1},
   year = {1994},
   pages = {1--9},
}

@article{Bri95,
   author = {Bridges, Douglas S.},
   title = {Constructive mathematics and unbounded operations},
   journal = {J. Philos. Logic},
   volume = {24},
   number = {5},
   year = {1995},
   pages = {549--561},
}

@inproceedings{Bri98,
   author = {Bridges, Douglas S.},
   title = {Bishop's Principle},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {17--20},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@incollection{Bri98a,
   author = {Bridges, Douglas S.},
   title = {Constructive truth in practice},
   booktitle = {Truth in mathematics (Mussomeli, 1995)},
   publisher = {Oxford Univ. Press},
   address = {New York},
   year = {1998},
   pages = {53--69},
}

@article{Bri99,
   author = {Bridges, Douglas S.},
   title = {Constructive mathematics: a foundation for computable analysis},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {95--109},
}

@article{Bri99a,
   author = {Bridges, Douglas S.},
   title = {Can constructive mathematics be applied in physics?},
   journal = {Journal of Philosophical Logic},
   volume = {28},
   number = {5},
   year = {1999},
   pages = {439--453},
}

@incollection{Bri99b,
   author = {Bridges, Douglas S.},
   title = {Constructive methods in mathematical economics},
   editor = {Herden, Gerhard and Knoche, Norbert and Seidl, Christian and Trockel, Walter},
   booktitle = {Mathematical utility theory (Essen, 1997)},
   series = {Journal of Economy},
   volume = {Supp. 8},
   publisher = {Springer},
   address = {Vienna},
   year = {1999},
   pages = {1--21},
}

@article{BRJM92,
   author = {Bridges, D. S. and Richman, F. and Julian, W. H. and Mines, R.},
   title = {Extensions and fixed points of contractive maps in $R^n$},
   journal = {Journal of Mathematical Analysis and Applications},
   volume = {165},
   number = {2},
   year = {1992},
   pages = {438--456},
}

@inproceedings{Bro07,
   author = {Brodhead, Paul},
   title = {Enumerations of {$\Pi^0_1$} classes: acceptability and decidable classes},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {289--301},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Bro21,
   author = {Brown, Tyler A.},
   title = {Computing on the {B}anach space {$C[0,1]$}},
   journal = {Computability},
   volume = {10},
   number = {3},
   year = {2021},
   pages = {257--270},
   doi = {10.3233/COM-200306},
}

@article{Bro25,
   author = {Brouwer, L.E.J.},
   title = {Intuitionistischer {B}eweis des {J}ordanschen {K}urvensatzes},
   journal = {Koninklijke Nederl. Akad. Wentensch, Proc.},
   volume = {28},
   year = {1925},
   pages = {503--508},
   note = {translated in: A. Heyting (ed.), Collected Works, Vol. 1, Philosophy and Foundations of Mathematics, North-Holland, Amsterdam, 1975, 315--320},
}

@article{Bro52,
   author = {Brouwer, L.E.J.},
   title = {An intuitionist correction of the fixed-point theorem on the sphere},
   journal = {Proceedings of the Royal Society. London. Series A.},
   volume = {213},
   year = {1952},
   pages = {1--2},
}

@article{Bro54,
   author = {Brouwer, L.E.J.},
   title = {Points and spaces},
   journal = {Canad. Journ. Math.},
   volume = {6},
   year = {1954},
   pages = {1--17},
}

@inproceedings{Bro75,
   author = {Brouwer, L.E.J.},
   title = {The unreliability of logical principles},
   editor = {Heyting, A.},
   booktitle = {Collected Works, Vol. 1, Philosophy and Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1975},
   pages = {107--111},
}

@inproceedings{Bro75a,
   author = {Brouwer, L.E.J.},
   title = {Fixed cores which cannot be found, though they are claimed to exist by classical theorems},
   editor = {Heyting, A.},
   booktitle = {Collected Works, Vol. 1, Philosophy and Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1975},
   pages = {516--518},
}

@book{Bro75b,
   author = {Brouwer, L.E.J.},
   title = {Collected Works, Vol. 1, Philosophy and Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1975},
   note = {Heyting, A. (ed)},
}

@book{Bro75c,
   author = {Brouwer, L.E.J.},
   title = {Collected Works, Vol. 2, Geometry, Analysis, Topology and Mechanics},
   editor = {Freudenthal, H.},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1976},
}

@book{Bro81,
   author = {Brouwer, L.E.J.},
   title = {Brouwer's Cambridge Lectures on Intuitionism},
   editor = {van Dalen, D.},
   publisher = {Cambridge University Press},
   year = {1981},
}

@article{BRS00,
   author = {Bridges, Douglas S. and Richman, Fred and Schuster, Peter},
   title = {Linear independence without choice},
   journal = {Annals of Pure and Applied Logic},
   volume = {101},
   number = {1},
   year = {2000},
   pages = {95--102},
}

@article{BRS00a,
   author = {Bridges, Douglas S. and Richman, Fred and Schuster, Peter},
   title = {A weak countable choice principle},
   journal = {Proceedings of the American Mathematical Society},
   volume = {128},
   number = {9},
   year = {2000},
   pages = {2749--2752},
}

@article{BRS00b,
   author = {Bridges, Douglas S. and Richman, Fred and Schuster, Peter},
   title = {Adjoints, absolute values, and polar decompositions},
   journal = {J. Operator Theory},
   volume = {44},
   number = {2},
   year = {2000},
   pages = {243--254},
}

@article{BRS17,
   author = {Braverman, M. and Rojas, C. and Schneider, J.},
   title = {Tight space-noise tradeoffs in computing the ergodic measure},
   journal = {Sbornik: Mathematics},
   volume = {208},
   number = {12},
   publisher = {{IOP} Publishing},
   year = {2017},
   month = {dec},
   pages = {1758--1783},
   doi = {10.1070/sm8884},
}

@article{BRY14,
   author = {Binder, Ilia and Rojas, Cristobal and Yampolsky, Michael},
   title = {Computable {C}arath{\'e}odory theory},
   journal = {Adv. Math.},
   volume = {265},
   year = {2014},
   pages = {280--312},
   doi = {10.1016/j.aim.2014.07.039},
}

@article{BRY15,
   author = {Binder, Ilia and Rojas, Cristobal and Yampolsky, Michael},
   title = {Non-computable impressions of computable external rays of quadratic polynomials},
   journal = {Communications in Mathematical Physics},
   volume = {335},
   number = {2},
   year = {2015},
   pages = {739--757},
   doi = {10.1007/s00220-014-2218-3},
}

@article{BRY19,
   author = {Binder, Ilia and Rojas, Cristobal and Yampolsky, Michael},
   title = {Carath\'{e}odory convergence and harmonic measure},
   journal = {Potential Analysis},
   volume = {51},
   number = {4},
   year = {2019},
   pages = {499--509},
   doi = {10.1007/s11118-018-9721-7},
}

@article{BRY96,
   author = {Bridges, Douglas S. and Richman, Fred and Yuchuan, Wang},
   title = {Sets, complements and boundaries},
   journal = {Indagationes Mathematicae},
   volume = {7},
   number = {4},
   year = {1996},
   pages = {425--445},
}

@article{BS00,
   author = {Bridges, Douglas S. and Svozil, Karl},
   title = {Constructive mathematics and quantum physics},
   journal = {J. Theor. Physics},
   volume = {39},
   year = {2000},
   pages = {501--513},
}

@inproceedings{BS03,
   author = {Bauer, Andrej and Simpson, Alex},
   title = {Locally non-compact spaces and continuity principles},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {103--116},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{BS04,
   author = {Bauer, Andrej and Simpson, Alex},
   title = {Two constructive embedding-extension theorems with applications to continuity principles and to {B}anach-{M}azur computability},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {351--369},
}

@article{BS04a,
   author = {Binns, Stephen and Simpson, Stephen G.},
   title = {Embeddings into the {M}edvedev and {M}uchnik lattices of {$\Pi^0_1$} classes},
   journal = {Archive for Mathematical Logic},
   volume = {43},
   number = {3},
   year = {2004},
   pages = {399--414},
   doi = {10.1007/s00153-003-0195-x},
}

@inproceedings{BS05,
   author = {Brattka, Vasco and Schr{\"{o}}der, Matthias},
   title = {Computing with Sequences, Weak Topologies and the Axiom of Choice},
   editor = {Ong, Luke},
   booktitle = {Computer science logic},
   series = {Lecture Notes in Computer Science},
   volume = {3634},
   publisher = {Springer},
   year = {2005},
   pages = {462--476},
}

@article{BS05a,
   author = {Badaev, Serikzhan and Spreen, Dieter},
   title = {A note on partial numberings},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {2},
   year = {2005},
   pages = {129--136},
}

@article{BS06,
   author = {Bridges, Douglas S. and Schuster, Peter},
   title = {A simple constructive proof of {K}ronecker's density theorem},
   journal = {Elemente der Mathematik},
   volume = {61},
   year = {2006},
   pages = {152--154},
}

@article{BS06a,
   author = {Berger, Josef and Schuster, Peter},
   title = {Classifying {D}ini's Theorem},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {47},
   number = {2},
   year = {2006},
   pages = {253--262},
}

@inproceedings{BS07,
   author = {Bauer, Andrej and Stone, Christopher A.},
   title = {{RZ}: {A} Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {28--42},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{BS07a,
   author = {Becher, Ver{\'{o}}nica and Grigorieff, Serge},
   title = {Random reals {\'a} la {C}haitin with or without prefix-freeness},
   journal = {Theoretical Computer Science},
   volume = {385},
   year = {2007},
   pages = {193--201},
}

@article{BS07b,
   author = {Buser, Peter and Scarpellini, Bruno},
   title = {Undecidable propositions by {ODE}'s},
   journal = {Annales Academi\ae \ Scientiarum Fennic\ae . Mathematica},
   volume = {32},
   number = {2},
   year = {2007},
   pages = {317--340},
}

@article{BS09,
   author = {Bauer, Andrej and Stone, Christopher A.},
   title = {{RZ}: a Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice},
   journal = {Journal of Logic and Computation},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {17--43},
}

@incollection{BS09a,
   author = {Berger, Josef and Schuster, Peter},
   title = {Dini's theorem in the light of reverse mathematics},
   booktitle = {Logicism, intuitionism, and formalism},
   series = {Synth. Libr.},
   volume = {341},
   publisher = {Springer},
   address = {Dordrecht},
   year = {2009},
   pages = {153--166},
   doi = {10.1007/978-1-4020-8926-8_7},
}

@article{BS10,
   author = {Buser, Peter and Scarpellini, Bruno},
   title = {Recursive analysis of singular ordinary differential equations},
   journal = {Annals of Pure and Applied Logic},
   volume = {162},
   year = {2010},
   pages = {20--35},
}

@article{BS16,
   author = {Buser, Peter and Scarpellini, Bruno},
   title = {Undecidability through {F}ourier series},
   journal = {Annals of Pure and Applied Logic},
   volume = {167},
   number = {7},
   year = {2016},
   pages = {507--524},
   doi = {10.1016/j.apal.2016.03.001},
}

@article{BS16a,
   author = {Berger, Josef and Svindland, Gregor},
   title = {A separating hyperplane theorem, the fundamental theorem of asset pricing, and {M}arkov's principle},
   journal = {Annals of Pure and Applied Logic},
   volume = {167},
   number = {11},
   year = {2016},
   pages = {1161--1170},
   doi = {10.1016/j.apal.2016.05.003},
}

@article{BS16b,
   author = {Berger, Josef and Svindland, Gregor},
   title = {Convexity and constructive infima},
   journal = {Archive for Mathematical Logic},
   volume = {55},
   number = {7-8},
   year = {2016},
   pages = {873--881},
   doi = {10.1007/s00153-016-0502-y},
}

@article{BS16c,
   author = {Berger, Ulrich and Spreen, Dieter},
   title = {A coinductive approach to computing with compact sets},
   journal = {Journal of Logic and Analysis},
   volume = {8},
   year = {2016},
   pages = {Paper No. 3, 35},
}

@article{BS17,
   author = {Berger, Josef and Schwichtenberg, Helmut},
   title = {A bound for {D}ickson's lemma},
   journal = {Logical Methods in Computer Science},
   volume = {13},
   number = {3},
   year = {2017},
   pages = {30:8},
}

@article{BS18,
   author = {Berger, Josef and Svindland, Gregor},
   title = {{B}rouwer's fan theorem and convexity},
   journal = {The Journal of Symbolic Logic},
   volume = {83},
   number = {4},
   year = {2018},
   pages = {1363--1375},
   doi = {10.1017/jsl.2018.49},
}

@article{BS19,
   author = {Berger, Josef and Svindland, Gregor},
   title = {Convexity and unique minimum points},
   journal = {Archive for Mathematical Logic},
   volume = {58},
   number = {1-2},
   year = {2019},
   pages = {27--34},
   doi = {10.1007/s00153-018-0619-2},
}

@article{BS19a,
   author = {Bauer, Andrej and Swan, Andrew},
   title = {Every metric space is separable in function realizability},
   journal = {Logical Methods in Computer Science},
   volume = {15},
   number = {2},
   year = {2019},
   pages = {Paper No. 14, 7},
}

@article{BSBP19,
   author = {Boche, Holger and Schaefer, Rafael F. and Baur, Sebastian and Poor, H. Vincent},
   title = {On the algorithmic computability of the secret key and authentication capacity under channel, storage, and privacy leakage constraints},
   journal = {IEEE Transactions on Signal Processing},
   volume = {67},
   number = {17},
   year = {2019},
   pages = {4636--4648},
   doi = {10.1109/TSP.2019.2929467},
}

@inproceedings{BSP18,
   author = {Boche, H. and Schaefer, R. F. and Poor, H. V.},
   title = {Performance Evaluation of Secure Communication Systems on {T}uring Machines},
   booktitle = {2018 IEEE International Workshop on Information Forensics and Security (WIFS)},
   year = {2018},
   pages = {1--7},
   doi = {10.1109/WIFS.2018.8630789},
}

@inproceedings{BSP19,
   author = {Boche, H. and Schaefer, R. F. and Poor, H. Vincent},
   title = {Identification Capacity of Correlation-Assisted Discrete Memoryless Channels: Analytical Properties and Representations},
   booktitle = {2019 IEEE International Symposium on Information Theory (ISIT)},
   year = {2019},
   pages = {470--474},
   doi = {10.1109/ISIT.2019.8849851},
}

@inproceedings{BSP19a,
   author = {Boche, H. and Schaefer, R.F. and Poor, H. Vincent},
   title = {Detectability of Denial-of-service Attacks on Communication Systems},
   booktitle = {ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2019},
   pages = {2532--2536},
   doi = {10.1109/ICASSP.2019.8683553},
}

@inproceedings{BSP19b,
   author = {Boche, H. and Schaefer, R.F. and Poor, H. V.},
   title = {On the Structure of the Capacity Formula for General Finite State Channels with Applications},
   booktitle = {2019 IEEE Information Theory Workshop (ITW)},
   year = {2019},
   pages = {1--5},
   doi = {10.1109/ITW44776.2019.8989035},
}

@article{BSP20,
   author = {Boche, Holger and Schaefer, Rafael F. and Poor, H. Vincent},
   title = {Denial-of-service attacks on communication systems: detectability and jammer knowledge},
   journal = {IEEE Transactions on Signal Processing},
   volume = {68},
   year = {2020},
   pages = {3754--3768},
   doi = {10.1109/tsp.2020.2993165},
}

@article{BSP20a,
   author = {Boche, H. and Schaefer, R.F. and Poor, H. V.},
   title = {Secure Communication and Identification Systems -- Effective Performance Evaluation on {T}uring Machines},
   journal = {IEEE Transactions on Information Forensics and Security},
   volume = {15},
   year = {2020},
   pages = {1013--1025},
   doi = {10.1109/TIFS.2019.2932226},
}

@inproceedings{BSP20b,
   author = {Boche, H. and Schaefer, R.F. and Poor, H. V.},
   title = {Robust Transmission Over Channels with Channel Uncertainty: an Algorithmic Perspective},
   booktitle = {ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2020},
   pages = {5230--5234},
   doi = {10.1109/ICASSP40776.2020.9054467},
}

@article{BSP20c,
   author = {Boche, Holger and Schaefer, Rafael F. and Poor, H. Vincent},
   title = {Identification capacity of channels with feedback: discontinuity behavior, super-activation, and {T}uring computability},
   journal = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory},
   volume = {66},
   number = {10},
   year = {2020},
   pages = {6184--6199},
   doi = {10.1109/TIT.2020.3005458},
}

@article{BSP20d,
   author = {Boche, Holger and Schaefer, Rafael F. and Poor, H. Vincent},
   title = {Communication under channel uncertainty: an algorithmic perspective and effective construction},
   journal = {IEEE Transactions on Signal Processing},
   volume = {68},
   year = {2020},
   pages = {6224--6239},
   doi = {10.1109/TSP.2020.3027902},
}

@article{BSP20e,
   author = {Boche, Holger and Schaefer, Rafael F. and Poor, H. Vincent},
   title = {Shannon meets {T}uring: non-computability and non-approximability of the finite state channel capacity},
   journal = {Communications in Information and Systems},
   volume = {20},
   number = {2},
   year = {2020},
   pages = {81--116},
   doi = {10.4310/CIS.2020.v20.n2.a1},
}

@article{BSR15,
   author = {Braverman, Mark and Schneider, Jonathan and Rojas, Crist{\'o}bal},
   title = {Space-bounded {C}hurch-{T}uring thesis and computational tractability of closed systems},
   journal = {Physical review letters},
   volume = {115},
   number = {9},
   publisher = {APS},
   year = {2015},
   pages = {098701},
}

@article{BSS06,
   author = {Battenfeld, Ingo and Schr{\"o}der, Matthias and Simpson, Alex},
   title = {Compactly generated domain theory},
   journal = {Mathematical Structures in Computer Science},
   volume = {16},
   number = {2},
   publisher = {Cambridge University Press},
   year = {2006},
   pages = {141--161},
   doi = {10.1017/S0960129506005202},
}

@article{BSS07,
   author = {Battenfeld, Ingo and Schr{\"o}der, Matthias and Simpson, Alex},
   title = {A Convenient Category of Domains},
   journal = {Electronic Notes in Theoretical Computer Science},
   volume = {172},
   publisher = {Elsevier Science Publishers B. V.},
   address = {Amsterdam, The Netherlands},
   year = {2007},
   pages = {69--99},
}

@article{BST02,
   author = {Blanck, Jens and Stoltenberg-Hansen, Viggo and Tucker, John V.},
   title = {Domain representations of partial functions, with applications to spatial objects and constructive volume geometry},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {207--240},
}

@inproceedings{BST08,
   author = {Blanck, Jens and Stoltenberg-Hansen, Viggo and Tucker, John V.},
   title = {Stability for Effective Algebras},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {3--15},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{BST17,
   author = {Bauwens, Bruno and Shen, Alexander and Takahashi, Hayato},
   title = {Conditional Probabilities and van {L}ambalgen's Theorem Revisited},
   journal = {Theory of Computing Systems},
   volume = {61},
   number = {4},
   year = {2017},
   pages = {1315-1336},
   doi = {10.1007/s00224-017-9789-2},
}

@article{BSV02,
   author = {Bridges, Douglas S. and Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Apartness, Topology, and Uniformity: a Constructive View},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {16--28},
}

@inproceedings{BSVP19,
   author = {Boche, H. and Schaefer, R. F. and Vincent Poor, H.},
   title = {On the Computability of the Secret Key Capacity under Rate Constraints},
   booktitle = {ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
   year = {2019},
   pages = {2427--2431},
   doi = {10.1109/ICASSP.2019.8683122},
}

@proceedings{BSW02,
   title = {Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66(1)},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
   doi = {10.1016/S1571-0661(05)80392-5},
}

@proceedings{BSW05,
   title = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{BT05,
   author = {Bauer, Andrej and Taylor, Paul},
   title = {The {D}edekind reals in abstract {S}tone duality},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {25--64},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@article{BT07,
   author = {Beggs, Edwin J. and Tucker, John V.},
   title = {Can {N}ewtonian systems, bounded in space, time, mass and energy compute all functions?},
   journal = {Theoretical Computer Science},
   volume = {371},
   year = {2007},
   pages = {4--19},
}

@article{BT09,
   author = {Bauer, Andrej and Taylor, Paul},
   title = {The {D}edekind reals in abstract {S}tone duality},
   journal = {Mathematical Structures in Computer Science},
   volume = {19},
   number = {4},
   year = {2009},
   pages = {757--838},
   doi = {10.1017/S0960129509007695},
}

@inproceedings{Buy00,
   author = {Buy, Dmitry},
   title = {Some Remarks about Fixpoint Theorems},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {43--52},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@article{BV00,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Constructing extensions of ultraweakly continuous linear functionals},
   journal = {J. Functional Analysis},
   volume = {178},
   number = {2},
   year = {2000},
   pages = {421--434},
}

@article{BV01,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Characterising Near Continuity Constructively},
   journal = {Mathematical Logic Quarterly},
   volume = {47},
   number = {4},
   year = {2001},
   pages = {535--538},
}

@article{BV02,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Cauchy nets in the constructive theory of apartness spaces},
   journal = {Scientiae Mathematicae Japonicae},
   volume = {56},
   number = {1},
   year = {2002},
   pages = {123--132},
}

@article{BV03,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Apartness spaces as a framework for constructive topology},
   journal = {Annals of Pure and Applied Logic},
   volume = {119},
   number = {1-3},
   year = {2003},
   pages = {61--83},
}

@article{BV03a,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {A proof-technique in uniform space theory},
   journal = {The Journal of Symbolic Logic},
   volume = {68},
   number = {3},
   year = {2003},
   pages = {795--802},
}

@article{BV03b,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Separatedness in constructive topology},
   journal = {Documenta Mathematica},
   volume = {8},
   year = {2003},
   pages = {567--576},
}

@article{BV03c,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Cauchy nets in uniform apartness spaces},
   journal = {Revue Roumaine de Math\'ematiques Pures et Appliqu\'ees},
   volume = {48},
   number = {5-6},
   year = {2003},
   pages = {467--474},
}

@article{BV03d,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Strong and uniform continuity---the uniform space case},
   journal = {LMS Journal of Computation and Mathematics},
   volume = {6},
   year = {2003},
   pages = {326--334},
}

@article{BV04a,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Corrigendum to: ``{A} proof-technique in uniform space theory''},
   journal = {The Journal of Symbolic Logic},
   volume = {69},
   number = {1},
   year = {2004},
   pages = {328},
}

@inproceedings{BV05,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {A general constructive proof technique},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {31--43},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{BV05a,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {An extension theorem for ultraweakly continuous linear functionals on $B(X,Y)$},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {77--89},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@inproceedings{BV05b,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Proximal connectedness},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {91--101},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@book{BV06,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
   title = {Techniques of Constructive Analysis},
   publisher = {Springer},
   address = {New York},
   year = {2006},
}

@article{BV06a,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Pre-apartness structures on spaces of functions},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {881--893},
}

@article{BV08,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Proximal Connectedness},
   journal = {Fundamenta Informaticae},
   volume = {83},
   number = {1--2},
   year = {2008},
   pages = {25--34},
}

@article{BV09,
   author = {Bridges, D. S. and V{\^{\i}}{\c{t}}{\u{a}}, L. S.},
   title = {A constructive theory of apartness on lattices},
   journal = {Scientiae Mathematicae Japonicae},
   volume = {69},
   number = {2},
   year = {2009},
   pages = {187--206},
}

@incollection{BV09a,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
   title = {Journey into apartness space},
   booktitle = {Logicism, intuitionism, and formalism},
   series = {Synth. Libr.},
   volume = {341},
   publisher = {Springer},
   address = {Dordrecht},
   year = {2009},
   pages = {167--187},
   doi = {10.1007/978-1-4020-8926-8_8},
}

@book{BV11,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
   title = {Apartness and Uniformity},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {xiv+198},
   doi = {10.1007/978-3-642-22415-7},
}

@inproceedings{BV12,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}{\u{a}}, Luminita},
   title = {Constructing the infimum of two projections},
   booktitle = {Computation, physics and beyond},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7160},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {46--58},
}

@article{BV13,
   author = {Bridges, Douglas S. and V{\^{\i}}{\c{t}}a, Lumini{\c{t}}a S.},
   title = {A first constructive look at the comparison of projections},
   journal = {Log. J. IGPL},
   volume = {21},
   number = {1},
   year = {2013},
   pages = {14--27},
   doi = {10.1093/jigpal/jzs019},
}

@article{BV98,
   author = {Boldi, Paolo and Vigna, Sebastiano},
   title = {$\delta$-uniform {BSS} Machines},
   journal = {Journal of Complexity},
   volume = {14},
   number = {2},
   year = {1998},
   pages = {234--256},
}

@article{BV99,
   author = {Boldi, Paolo and Vigna, Sebastiano},
   title = {Equality is a Jump},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {49--64},
}

@article{BW02,
   author = {Bridges, Douglas S. and Ward, Nicholas Dudley},
   title = {Kernels of seminorms in constructive analysis},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {259--267},
}

@article{BW20,
   author = {Burr, Michael and Wolf, Christian},
   title = {Computability at zero temperature},
   journal = {Nonlinearity},
   volume = {33},
   number = {11},
   publisher = {IOP Publishing},
   year = {2020},
   month = {oct},
   pages = {6157--6175},
   doi = {10.1088/1361-6544/ab9c71},
}

@article{BW97,
   author = {Bridges, Douglas S. and Wang, Yuchuan},
   title = {Constructive aspects of the {D}irichlet problem},
   journal = {Journal of Universal Computer Science},
   volume = {3},
   number = {11},
   year = {1997},
   pages = {1148--1161 (electronic)},
   note = {Proceedings of the First Japan-New Zealand Workshop on Logic in Computer Science (Auckland, 1997)},
}

@article{BW97a,
   author = {Bridges, Douglas S. and Wang, Yuchuan},
   title = {Constructing cutoff functions},
   journal = {New Zealand Journal of Mathematics},
   volume = {26},
   number = {1},
   year = {1997},
   pages = {25--30},
}

@article{BW98a,
   author = {Bridges, Douglas S. and Wang, Yuchuan},
   title = {Constructive weak solutions of the {D}irichlet problem},
   journal = {The Journal of the London Mathematical Society. Second Series},
   volume = {57},
   number = {3},
   year = {1998},
   pages = {655--667},
}

@article{BW98b,
   author = {Bridges, Douglas S. and Wang, Yuchuan},
   title = {Constructing best approximations on a {J}ordan curve},
   journal = {Journal of Approximation Theory},
   volume = {94},
   number = {2},
   year = {1998},
   pages = {222--234},
}

@article{BW98c,
   author = {Bridges, Douglas S. and Wang, Yuchuan},
   title = {Weak solutions of the {D}irichlet problem and the locatedness of ${H}^1_0(\Omega)$},
   journal = {New Zealand Journal of Mathematics},
   volume = {27},
   number = {1},
   year = {1998},
   pages = {1--5},
}

@article{BW99,
   author = {Brattka, Vasco and Weihrauch, Klaus},
   title = {Computability on Subsets of {E}uclidean Space {I}: Closed and Compact Subsets},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {65--93},
}

@article{BY06,
   author = {Brattka, Vasco and Yoshikawa, Atsushi},
   title = {Towards computability of elliptic boundary value problems in variational formulation},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {858--880},
}

@article{BY06a,
   author = {Braverman, M. and Yampolsky, M.},
   title = {Non-computable {J}ulia sets},
   journal = {Journal of the American Mathematical Society},
   volume = {19},
   number = {3},
   year = {2006},
   pages = {551--578},
   doi = {10.1090/S0894-0347-05-00516-3},
}

@inproceedings{BY07,
   author = {Braverman, Mark and Yampolsky, Michael},
   title = {Constructing non-computable {J}ulia sets},
   booktitle = {S{TOC}'07---{P}roceedings of the 39th {A}nnual {ACM} {S}ymposium on {T}heory of {C}omputing},
   publisher = {ACM},
   address = {New York},
   year = {2007},
   pages = {709--716},
   doi = {10.1145/1250790.1250893},
}

@book{BY08,
   author = {Braverman, Mark and Yampolsky, Michael},
   title = {Computability of {J}ulia Sets},
   series = {Algorithms and Computation in Mathematics},
   volume = {23},
   publisher = {Springer},
   address = {Berlin},
   year = {2008},
}

@article{BY08a,
   author = {Braverman, Mark and Yampolsky, Michael},
   title = {Computability of {J}ulia sets},
   journal = {Moscow Mathematical Journal},
   volume = {8},
   number = {2},
   year = {2008},
   pages = {185--231, 399},
}

@article{BY09a,
   author = {Braverman, Mark and Yampolsky, Michael},
   title = {Constructing locally connected non-computable {J}ulia sets},
   journal = {Communications in Mathematical Physics},
   volume = {291},
   number = {2},
   year = {2009},
   pages = {513--532},
   doi = {10.1007/s00220-009-0858-5},
}

@inproceedings{BZ02,
   author = {Brattka, Vasco and Ziegler, Martin},
   title = {Computability of linear equations},
   editor = {Baeza-Yates, Ricardo and Montanari, Ugo and Santoro, Nicola},
   booktitle = {Foundations of Information Technology in the Era of Network and Mobile Computing},
   series = {IFIP International Federation for Information Processing},
   volume = {223},
   publisher = {Kluwer Academic Publishers},
   address = {Dordrecht},
   year = {2002},
   pages = {95--106},
   note = {2nd IFIP International Conference on Theoretical Computer Science, Montr{\'e}al, Canada, August 25--30, 2002},
}

@article{Cal02,
   author = {Calude, Cristian S.},
   title = {A characterization of c.e. random reals},
   journal = {Theoretical Computer Science},
   volume = {271},
   year = {2002},
   pages = {3--14},
}

@article{Cal02a,
   author = {Calude, Cristian S.},
   title = {Chaitin $\Omega$ numbers, {S}olovay machines, and {G}{\"{o}}del incompleteness},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {269--277},
}

@phdthesis{Cam01,
   author = {Campagnolo, Manuel Lameiras},
   title = {Computational Complexity of Real Valued Recursive Functions and Analog Circuits},
   school = {Instituto Superior T{\'e}cnico, Universidade T{\'e}cnica de Lisboa},
   address = {Lisbon},
   year = {2001},
}

@inproceedings{Cam02,
   author = {Campagnolo, Manuel Lameiras},
   title = {The Complexity of Real Recursive Functions},
   editor = {Calude, C.S. and Dinneen, M.J. and Peper, F.},
   booktitle = {Unconventional Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {2509},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {1--14},
   note = {Third International Conference, UMC 2002, Kobe, Japan, October 15-19, 2002},
}

@phdthesis{Car13,
   author = {Carroy, Rapha{\"e}l},
   title = {Functions of the first {B}aire class},
   school = {University of Lausanne and University Paris 7},
   year = {2013},
}

@article{Car13a,
   author = {Carroy, Rapha{\"e}l},
   title = {A quasi-order on continuous functions},
   journal = {Journal of Symbolic Logic},
   volume = {78},
   number = {2},
   year = {2013},
   pages = {663--648},
   doi = {10.2178/jsl.7802150},
}

@book{Car19,
   author = {Carl, Merlin},
   title = {Ordinal Computability, An Introduction to Infinitary Machines},
   volume = {9},
   publisher = {de Gruyter},
   address = {Berlin},
   year = {2019},
}

@article{Car21,
   author = {Carl, Merlin},
   title = {Effectivity and reducibility with ordinal {T}uring machines},
   journal = {Computability},
   volume = {10},
   number = {4},
   year = {2021},
   pages = {289--304},
   doi = {10.3233/COM-210307},
}

@article{Car22,
   author = {Carl, Merlin},
   title = {Space-bounded {OTM}s and {$\rm REG^\infty$}},
   journal = {Computability},
   volume = {11},
   number = {1},
   year = {2022},
   pages = {41--56},
   doi = {10.3233/com-200327},
}

@inproceedings{CCHK99,
   author = {Calude, C. S. and Coles, R. and Hertling, P. H. and Khoussainov, B.},
   title = {Degree Theoretic Aspects of Computably Enumerable Reals},
   editor = {S. B. Cooper and J. K. Truss},
   booktitle = {Models and Computability},
   series = {London Math.\ Society Lecture Note Series},
   volume = {259},
   publisher = {Cambridge University Press},
   address = {Cambridge},
   year = {1999},
   pages = {23--39},
   note = {Invited Papers from {L}ogic {C}olloquium 1997, {L}eeds.},
}

@proceedings{CDGW07,
   title = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{CDHP20,
   author = {Cholak, Peter A. and Dzhafarov, Damir D. and Hirschfeldt, Denis R. and Patey, Ludovic},
   title = {Some results concerning the {$\rm SRT^2_2$} vs. {COH} problem},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {193--217},
   doi = {10.3233/COM-190251},
}

@inproceedings{CDK08,
   author = {Cenzer, Douglas and Dashti, S. Ali and King, Jonathan L.F.},
   title = {Effective Symbolic Dynamics},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {89--99},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{CDK08a,
   author = {Cenzer, Douglas and Dashti, S. Ali and King, Jonathan L.F.},
   title = {Computable symbolic dynamics},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {460--469},
}

@article{CDM12,
   author = {Couch, P. J. and Daniel, B. D. and McNicholl, Timothy H.},
   title = {Computing space-filling curves},
   journal = {Theory of Computing Systems},
   volume = {50},
   number = {2},
   year = {2012},
   pages = {370--386},
   doi = {10.1007/s00224-010-9306-3},
}

@inproceedings{CDTW10,
   author = {Cenzer, Douglas and Dashti, Ali and Toska, Ferit and Wyman, Sebastian},
   title = {Computability of countable subshifts},
   booktitle = {Programs, proofs, processes},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6158},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {88--97},
   doi = {10.1007/978-3-642-13962-8_10},
}

@article{CDTW12,
   author = {Cenzer, Douglas and Dashti, Ali and Toska, Ferit and Wyman, Sebastian},
   title = {Computability of countable subshifts in one dimension},
   journal = {Theory Comput. Syst.},
   volume = {51},
   number = {3},
   year = {2012},
   pages = {352--371},
   doi = {10.1007/s00224-011-9358-z},
}

@article{Cei55,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {On a theorem of {C}auchy in constructive analysis ({R}ussian)},
   journal = {Uspehi Mat.\ Nauk},
   volume = {10},
   year = {1955},
   pages = {207--209},
}

@inproceedings{Cei56,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {Uniform recursiveness of algorithmic operators on general recursive functions and a canonical representation for constructive functions of a real argument ({R}ussian)},
   booktitle = {Proc.\ Third All--Union Math.\ Congr., Moscow 1956},
   volume = {1},
   publisher = {Izdat.\ Akad.\ Nauk SSSR},
   address = {Moscow},
   year = {1956},
   pages = {188--189},
}

@article{Cei59,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {Algorithmic Operators in Constructive Complete Separable Metric Spaces ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {128},
   year = {1959},
   pages = {49--52},
}

@article{Cei62,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {Algorithmic Operators in Constructive Metric Spaces ({R}ussian)},
   journal = {Tr.\ Mat.\ Inst.\ Steklov},
   volume = {67},
   year = {1962},
   pages = {295--361},
   note = {(English trans. in AMS Trans. 64, 1967)},
}

@article{Cei62a,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {Mean value theorems in constructive analysis ({R}ussian)},
   journal = {Tr.\ Mat.\ Inst.\ Steklov},
   volume = {67},
   year = {1962},
   pages = {362--384},
   note = {(English trans. in AMS Trans. 98, 1971)},
}

@article{Cei64,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {Three theorems on constructive functions ({R}ussian)},
   journal = {Tr.\ Mat.\ Inst.\ Steklov},
   volume = {72},
   year = {1964},
   pages = {537--543},
   note = {(English trans. in AMS Trans. 100, 1972)},
}

@article{Cei70,
   author = {Ce{\u{\i}}tin, G.S.},
   title = {On upper bounds of recursively enumerable sets of constructive real numbers ({R}ussian)},
   journal = {Tr.\ Mat.\ Inst.\ Steklov},
   volume = {113},
   year = {1970},
   pages = {102--172},
}

@inproceedings{Cen93,
   author = {Cenzer, Douglas},
   title = {Effective real dynamics},
   editor = {Crossley, John N. and Remmel, Jefferey B. and Shore, Richard A. and Sweedler, Moss E.},
   booktitle = {Logical Methods in Honor of Anil Nerode's Sixtieth Birthday},
   series = {Progress in Computer Science and Applied Logic},
   volume = {12},
   publisher = {Birkh\"auser},
   address = {Boston},
   year = {1993},
   pages = {162--177},
}

@incollection{Cen99,
   author = {Cenzer, Douglas},
   title = {{$\Pi^0_1$}--classes in computability theory},
   editor = {Griffor, Edward R.},
   booktitle = {Handbook of Computability Theory},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {140},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {1999},
   pages = {37--85},
}

@article{CFHR22,
   author = {Coronel, Daniel and Frank, Alexander and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Realizing semicomputable simplices by computable dynamical systems},
   journal = {Theoretical Computer Science},
   volume = {933},
   year = {2022},
   pages = {43--54},
   doi = {10.1016/j.tcs.2022.09.001},
}

@inproceedings{CG00,
   author = {Ciaffaglione, Alberto and Di Gianantonio, Pietro},
   title = {A Co-inductive Approach to Real Numbers},
   editor = {Coquand, Thierry and Dybjer, Peter and Nordstr{\"{o}}m, Bengt and Smith, Jan},
   booktitle = {Types for Proofs and Programs},
   series = {Lecture Notes in Computer Science},
   volume = {1956},
   publisher = {Springer},
   address = {Berlin},
   year = {2000},
   pages = {114--130},
   note = {International Workshop, TYPES'99, L{\"{o}}keberg, Sweden, June 12--16, 1999},
}

@inproceedings{CG02,
   author = {Ciaffaglione, Alberto and Di Gianantonio, Pietro},
   title = {A Tour with Constructive Real Numbers},
   editor = {Callaghan, P. and Luo, Z. and McKinna, J. and Pollack, R.},
   booktitle = {Types for Proofs and Programs},
   series = {LNCS},
   volume = {2277},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {41--52},
   note = {International Workshop, TYPES 2000, Durham, UK, December 8--12, 2000},
}

@article{CG06,
   author = {Ciaffaglione, Alberto and Di Gianantonio, Pietro},
   title = {A certified, corecursive implementation of exact real numbers},
   journal = {Theoretical Computer Science},
   volume = {351},
   number = {1},
   year = {2006},
   pages = {39--51},
}

@inproceedings{CG08,
   author = {Collins, Peter and Gra{\c{c}}a, Daniel},
   title = {Effective Computability of Solutions of Ordinary Differential Equations The Thousand Monkeys Approach},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {103--114},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{CG09,
   author = {Collins, Pieter and Gra{\c{c}}a, Daniel S.},
   title = {Effective computability of solutions of differential inclusions: the ten thousand monkeys approach},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1162--1185},
   doi = {10.3217/jucs-015-06-1206},
}

@incollection{CGK93,
   author = {Cosnard, Michel and Garzon, Max and Koiran, Pascal},
   title = {Computability properties of low-dimensional dynamical systems},
   booktitle = {S{TACS} 93 ({W}\"urzburg, 1993)},
   series = {Lecture Notes in Comput. Sci.},
   volume = {665},
   publisher = {Springer, Berlin},
   year = {1993},
   pages = {365--373},
   doi = {10.1007/3-540-56503-5_37},
}

@article{CGM23,
   author = {Camrud, Caleb and Goldbring, Isaac and McNicholl, Timothy H.},
   title = {On the complexity of the theory of a computably presented metric structure},
   journal = {Archive for Mathematical Logic},
   volume = {62},
   number = {7-8},
   year = {2023},
   pages = {1111--1129},
   doi = {10.1007/s00153-023-00884-4},
}

@inproceedings{CH07,
   author = {Cenzer, Douglas and Hinman, Peter G.},
   title = {{M}edvedev degrees of generalized r.e. separating classes},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {203--223},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Ch12,
   author = {Ch{\'e}ritat, Arnaud},
   title = {Braverman and {Y}ampolsky: {\it {C}omputability of {J}ulia sets} [book review of MR2466298]},
   journal = {Found. Comput. Math.},
   volume = {12},
   number = {1},
   year = {2012},
   pages = {123--137},
   doi = {10.1007/s10208-011-9111-7},
}

@inproceedings{CH20,
   author = {Callard, Antonin and Hoyrup, Mathieu},
   title = {Descriptive Complexity on Non-{P}olish Spaces},
   editor = {Paul, Christophe and Bl{\"a}ser, Markus},
   booktitle = {37th International Symposium on Theoretical Aspects of Computer Science ({STACS} 2020)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {154},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2020},
   pages = {8:1--8:16},
   doi = {10.4230/LIPIcs.STACS.2020.8},
}

@article{CH98,
   author = {Calude, Cristian S. and Hertling, Peter},
   title = {Computable approximations of reals: An information-theoretic analysis},
   journal = {Fundamenta Informaticae},
   volume = {33},
   number = {2},
   year = {1998},
   pages = {105--120},
}

@article{CH99,
   author = {Chadzelek, Thomas and Hotz, G{\"u}nter},
   title = {Analytic machines},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {151--167},
}

@article{Cha87a,
   author = {Chaitin, G.J.},
   title = {Incompleteness theorems for random reals},
   journal = {Adv. in Appl. Math.},
   volume = {8},
   year = {1987},
   pages = {119--146},
}

@phdthesis{Cha98,
   author = {Chadzelek, Thomas},
   title = {Analytische Maschinen},
   school = {Technische Fakult\"at der Universit\"at des Saarlandes},
   address = {Saarbr\"ucken},
   year = {1998},
}

@article{Che76,
   author = {Chernov, V. P.},
   title = {Topological variants of the continuity theorem for mappings and related theorems},
   journal = {Journal of Soviet Mathematics},
   volume = {6},
   number = {4},
   year = {1976},
   pages = {456--464},
   doi = {10.1007/BF01084089},
}

@article{CHJW01,
   author = {Calude, C.S. and Hertling, P. and J{\"u}rgensen, H. and Weihrauch, K.},
   title = {Randomness on Full Shift Spaces},
   journal = {Chaos, Solitons \& Fractals},
   volume = {12},
   number = {3},
   year = {2001},
   pages = {491--503},
}

@article{CHK97,
   author = {Calude, Cristian S. and Hertling, Peter and Khoussainov, Bakhadyr},
   title = {Do the Zeros of {R}iemann's {Z}eta-Function Form a Random Sequence?},
   journal = {Bulletin of the European Association for Theoretical Computer Science},
   volume = {62},
   year = {1997},
   pages = {199--207},
}

@article{CHKW01,
   author = {Calude, Cristian S. and Hertling, Peter H. and Khoussainov, Bakhadyr and Wang, Yongge},
   title = {Recursively enumerable reals and {C}haitin $\Omega$ numbers},
   journal = {Theoretical Computer Science},
   volume = {255},
   year = {2001},
   pages = {125--149},
}

@inproceedings{CHKW98,
   author = {Calude, Cristian S. and Hertling, Peter and Khoussainov, Bakhadyr and Yongge Wang},
   title = {Recursively enumerable reals and {C}haitin $\Omega$ numbers},
   editor = {Morvan, Michel et al.},
   booktitle = {STACS'98},
   series = {Lecture Notes in Computer Science},
   volume = {1373},
   publisher = {Springer},
   address = {Berlin},
   year = {1998},
   pages = {596--606},
   note = {15th Annual Symposium on Theoretical Aspects of Computer Science. Paris, France, February 25--27, 1998},
}

@article{CHM09,
   author = {Chubb, Jennifer and Hirst, Jeffry L. and McNicholl, Timothy H.},
   title = {Reverse mathematics, computability, and partitions of trees},
   journal = {Journal of Symbolic Logic},
   volume = {74},
   number = {1},
   year = {2009},
   pages = {201--215},
   doi = {10.2178/jsl/1231082309},
}

@inproceedings{Cho95,
   author = {Chou, Arthur W.},
   title = {Some complexity issues in complex analysis},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {91--98},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@article{CI22,
   author = {\v{C}elar, Matea and Iljazovi\'{c}, Zvonko},
   title = {Computability of glued manifolds},
   journal = {Journal of Logic and Computation},
   volume = {32},
   number = {1},
   year = {2022},
   pages = {65--97},
   doi = {10.1093/logcom/exab063},
}

@phdthesis{Cia03,
   author = {Ciaffaglione, Alberto},
   title = {Certified Reasoning on Real Numbers and Objects in Co-inductive Type Theory},
   school = {Universit{\'a} degli Studi di Udine},
   year = {2003},
}

@phdthesis{Cip23,
   author = {Cipriani, Vittorio},
   title = {Many Problems, Different Frameworks, Classification of Problems in Computable Analysis and Algorithmic Learning Theory},
   school = {Universit{\'a} degli Studi di Udine},
   year = {2023},
}

@article{CIV21,
   author = {{\v{C}}i{\v{c}}kovi{\'c}, Eugen and Iljazovi{\'c}, Zvonko and Valid{\v{z}}i{\'c}, Lucija},
   title = {Chainable and circularly chainable semicomputable sets in computable topological spaces},
   journal = {Archive for Mathematical Logic},
   volume = {58},
   year = {2021},
   pages = {885--897},
   doi = {10.1007/s00153-019-00667-w},
}

@incollection{CJ00,
   author = {Cenzer, Douglas and Jockusch, Jr., Carl G.},
   title = {{$\Pi\sb 1\sp 0$} classes--Structure and Applications},
   booktitle = {Computability theory and its applications},
   series = {Contemporary Mathematics},
   volume = {257},
   publisher = {American Mathematical Society},
   address = {Providence},
   year = {2000},
   pages = {39--59},
}

@inproceedings{CJ94,
   author = {Calude, Cristian and J\"{u}rgensen, Helmut},
   title = {Randomness as an invariant for number representations},
   editor = {Maurer, H. and Karhum{\"a}ki, J. and Rozenberg, G.},
   booktitle = {Results and Trends in Theoretical Computer Science},
   publisher = {Springer},
   address = {Berlin},
   year = {1994},
   pages = {44--66},
}

@article{CK04,
   author = {Chou, Arthur W. and Ko, Ker-I},
   title = {On the complexity of finding paths in a two-dimensional domain {I}: Shortest paths},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {6},
   year = {2004},
   pages = {551--572},
}

@inproceedings{CK05,
   author = {Chou, Arthur W. and Ko, Ker-I},
   title = {On the complexity of finding paths in a two-dimensional domain {II}: Picewise straight-line paths},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {45--57},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{CK05a,
   author = {Chou, Arthur W. and Ko, Ker-I},
   title = {The computational complexity of distance functions of two-dimensional domains},
   journal = {Theoretical Computer Science},
   volume = {337},
   year = {2005},
   pages = {360--369},
}

@article{CK95,
   author = {Chou, Arthur and Ko, Ker-I},
   title = {Computational complexity of two-dimensional regions},
   journal = {SIAM Journal on Computing},
   volume = {24},
   year = {1995},
   pages = {923--947},
}

@article{CKWW09,
   author = {Cenzer, Douglas and Kihara, Takayuki and Weber, Rebecca and Wu, Guohua},
   title = {Immunity and non-cupping for closed sets},
   journal = {Tbilisi Mathematical Journal},
   volume = {2},
   year = {2009},
   pages = {77--94},
}

@article{CL06,
   author = {Chernavskya, A.V. and Leksineb, V.P.},
   title = {Unrecognizability of manifolds},
   journal = {Annals of Pure and Applied Logic},
   volume = {141},
   number = {3},
   year = {2006},
   pages = {447--455},
}

@article{Cle69,
   author = {Cleave, J.P.},
   title = {The primitive recursive analysis of ordinary differential equations and the complexity of their solutions},
   journal = {Journal of Computer and Systems Sciences},
   volume = {3},
   year = {1969},
   pages = {447--455},
   doi = {10.1016/S0022-0000(69)80031-0},
}

@inproceedings{CLM07,
   author = {Costa, Jos\'{e} F\'{e}lix and Loff, Bruno and Mycka, Jerzy},
   title = {The New Promise of Analog Computation},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {189--195},
   note = {{T}hird Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{CLW09,
   author = {Cenzer, Douglas and Laforte, Geoffrey and Wu, Guohua},
   title = {Pseudojumps and {$\Pi^0_1$} Classes},
   journal = {Journal of Logic and Computation},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {77--87},
}

@inproceedings{CM01,
   author = {Campagnolo, Manuel Lameiras and Moore, Cristopher},
   title = {Upper and lower bounds on continuous-time computation},
   editor = {Antoniou, I. and Calude, C.S. and Dinneen, M.J.},
   booktitle = {Unconventional Models of Computation, UMC2'K},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {London},
   year = {2001},
   pages = {135--153},
   note = {Second International Conference, UMC 2000, Brussels, Belgium},
}

@article{CMC01,
   author = {Campagnolo, Manuel Lameiras and Moore, Cristopher and Costa, Jos\'{e} F\'{e}lix},
   title = {Iteration, Inequalities, and Differentiability in Analog Computers},
   journal = {Journal of Complexity},
   volume = {16},
   number = {4},
   year = {2001},
   pages = {642--660},
}

@article{CMC02,
   author = {Campagnolo, Manuel Lameiras and Moore, Cristopher and Costa, Jos\'{e} F\'{e}lix},
   title = {An Analog Characterization of the {G}rzegorczyk Hierarchy},
   journal = {Journal of Complexity},
   volume = {18},
   number = {4},
   year = {2002},
   pages = {977--1000},
}

@article{CMP23,
   author = {Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel},
   title = {Computability and {B}eltrami fields in {E}uclidean space},
   journal = {J. Math. Pures Appl. (9)},
   volume = {169},
   year = {2023},
   pages = {50--81},
   doi = {10.1016/j.matpur.2022.11.007},
}

@incollection{CMP23a,
   author = {Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel},
   title = {Looking at {E}uler flows through a contact mirror: universality and undecidability},
   booktitle = {European {C}ongress of {M}athematics},
   publisher = {EMS Press},
   address = {Berlin},
   year = {2023},
   pages = {367--393},
   doi = {10.4171/8ECM/31},
}

@article{CMS19,
   author = {Clanin, Joe and McNicholl, Timothy H. and Stull, Don M.},
   title = {Analytic computable structure theory and {$L^p$} spaces},
   journal = {Fundamenta Mathematicae},
   volume = {244},
   number = {3},
   year = {2019},
   pages = {255--285},
   doi = {10.4064/fm448-5-2018},
}

@inproceedings{CN16,
   author = {Carotenuto, Gemma and Nies, Andr\'{e}},
   title = {Lightface {$\Pi^0_3$}--Completeness of Density Sets Under Effective {W}adge Reducibility},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {234--239},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_24},
}

@article{CNR11,
   author = {Collins, Pieter and Niqui, Milad and Revol, Nathalie},
   title = {A validated real function calculus},
   journal = {Math. Comput. Sci.},
   volume = {5},
   number = {4},
   year = {2011},
   pages = {437--467},
   doi = {10.1007/s11786-011-0102-5},
}

@inproceedings{CO07,
   author = {Campagnolo, Manuel L. and Ojakian, Kerry},
   title = {The methods of approximation and lifting in real computation},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {387--423},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{CO08,
   author = {Campagnolo, Manuel L. and Ojakian, Kerry},
   title = {The elementary computable functions over the real numbers: applying two new techniques},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {593--627},
}

@inproceedings{CO08a,
   author = {Campagnolo, Manuel L. and Ojakian, Kerry},
   title = {Characterizing Computable Analysis with Differential Equations},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {23--35},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{CO11,
   author = {Campagnolo, Manuel L. and Ojakian, Kerry},
   title = {A characterization of computable analysis on unbounded domains using differential equations},
   journal = {Inform. and Comput.},
   volume = {209},
   number = {8},
   year = {2011},
   pages = {1135--1159},
   doi = {10.1016/j.ic.2011.04.002},
}

@article{Col05,
   author = {Collins, Pieter},
   title = {Continuity and computability on reachable sets},
   journal = {Theoretical Computer Science},
   volume = {341},
   year = {2005},
   pages = {162--195},
}

@inproceedings{Col07,
   author = {Collins, Pieter},
   title = {Effective Computation for Nonlinear Systems},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {169--178},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{Col07a,
   author = {Collins, Pieter},
   title = {Optimal Semicomputable Approximations to Reachable and Invariant Sets},
   journal = {Theory of Computing Systems},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {33--48},
}

@inproceedings{Col08,
   author = {Collins, Pieter},
   title = {Computability and Representations of the Zero Set},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {37--43},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@inproceedings{Col09,
   author = {Collins, Pieter},
   title = {Computability of Homology for Compact Absolute Neighbourhood Retracts},
   editor = {Bauer, Andrej and Hertling, Peter and Ko, Ker-I},
   booktitle = {{CCA} 2009, Proceedings of the Sixth International Conference on Computability and Complexity in Analysis},
   publisher = {Leibniz-Zentrum f\"ur Informatik},
   address = {Schloss Dagstuhl, Germany},
   year = {2009},
   pages = {107--118},
}

@article{Col10,
   author = {Collins, Pieter J.},
   title = {Computable Analysis with Applications to Dynamic Systems},
   journal = {CWI Report, Modelling, Analysis and Computing},
   volume = {MAC-1002},
   year = {2010},
}

@article{Col11,
   author = {Collins, Pieter},
   title = {Semantics and computability of the evolution of hybrid systems},
   journal = {SIAM J. Control Optim.},
   volume = {49},
   number = {2},
   year = {2011},
   pages = {890--925},
   doi = {10.1137/080716955},
}

@article{Col20,
   author = {Collins, Pieter},
   title = {Computable analysis with applications to dynamic systems},
   journal = {Mathematical Structures in Computer Science},
   volume = {30},
   number = {2},
   year = {2020},
   pages = {173--233},
   doi = {10.1017/s096012952000002x},
}

@article{Col78,
   author = {Collins, W.},
   title = {Provably recursive real numbers},
   journal = {Notre Dame J. Formal Logic},
   volume = {19},
   year = {1978},
   pages = {513--522},
}

@phdthesis{COlg16,
   author = {Callejas Olgu{\'{i}}n, Claudio Andr{\'{e}}s},
   title = {A topological and domain theoretical study of total computable functions},
   school = {Federal University of Rio Grande do Norte},
   year = {2016},
}

@inproceedings{Coo92,
   author = {Cook, Stephen A.},
   title = {Computability and complexity of higher type functions},
   editor = {Moschovakis, Y.N.},
   booktitle = {Logic from computer science},
   series = {Mathematical Sciences Research Institute Publications},
   volume = {21},
   publisher = {Springer},
   address = {New York},
   year = {1992},
   pages = {51--72},
   note = {Proceedings of the workshop held in Berkeley, California, November 13--17, 1989},
}

@article{Coq05,
   author = {Coquand, Thierry},
   title = {Formal Topology and Constructive Mathematics: the {G}elfand and {S}tone-{Y}osida Representation Theorems},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {1932--1944},
}

@article{CP23,
   author = {Cenzer, Douglas and Porter, Christopher P.},
   title = {Randomness extraction in computability theory},
   journal = {Computability},
   volume = {12},
   number = {1},
   year = {2023},
   pages = {1--21},
   doi = {10.3233/COM-210343},
}

@inproceedings{CP23a,
   author = {Cipriani, Vittorio and Pauly, Arno},
   title = {The Complexity of Finding Supergraphs},
   editor = {Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin},
   booktitle = {Unity of Logic and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {13967},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {178--189},
   note = {19th Conference on Computability in Europe},
   doi = {10.1007/978-3-031-36978-0_15},
}

@article{CPW15,
   author = {Cubitt, Toby S. and Perez-Garcia, David and Wolf, Michael M.},
   title = {Undecidability of the spectral gap},
   journal = {Nature},
   volume = {528},
   year = {2015},
   pages = {207--211},
   doi = {10.1038/nature16059},
}

@article{CR02,
   author = {Cenzer, Douglas and Remmel, Jeffrey B.},
   title = {Effectively closed sets and graphs of computable real functions},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {279--318},
}

@article{CR03,
   author = {Cenzer, Douglas and Remmel, Jeffrey B.},
   title = {Index sets for $\omega$--languages},
   journal = {Mathematical Logic Quarterly},
   volume = {49},
   number = {1},
   year = {2003},
   pages = {22--33},
   doi = {10.1002/malq.200310002},
}

@inproceedings{CR03a,
   author = {Cenzer, Douglas and Remmel, Jeffrey B.},
   title = {Index sets for computable real functions},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {164--182},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{CR04,
   author = {Cenzer, Douglas and Remmel, Jeffrey B.},
   title = {Index sets for computable differential equations},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {329--344},
   doi = {10.1002/malq.200310102},
}

@inproceedings{CR08,
   author = {Ciobanu, Gabriel and Rusu, D\u{a}nu\c{t}},
   title = {Supermetrics over Apartness Lattice-Ordered Semigroup},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {191--200},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@inproceedings{CR18,
   author = {Cenzer, Douglas and Rojas, Diego A.},
   title = {Online Computability and Differentiation in the {C}antor Space},
   editor = {Manea, Florin and Miller, Russell G. and Nowotka, Dirk},
   booktitle = {Sailing Routes in the World of Computation},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {136--145},
   doi = {10.1007/978-3-319-94418-0_14},
}

@incollection{CR98,
   author = {Cenzer, Douglas and Remmel, J.B.},
   title = {{$\Pi^0_1$}--classes in mathematics},
   editor = {Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel, J.B. and Marek, V.W.},
   booktitle = {Handbook of Recursive Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {139},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {1998},
   pages = {623--821},
   note = {Volume 2, Recursive Algebra, Analysis and Combinatorics},
}

@article{CR99,
   author = {Cenzer, Douglas and Remmel, Jeffrey B.},
   title = {Index sets in computable analysis},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {111--150},
}

@article{CRY18,
   author = {Coronel, Daniel and Rojas, Cristobal and Yampolsky, Michael},
   title = {Non computable {M}andelbrot-like sets for a one-parameter complex family},
   journal = {Information and Computation},
   volume = {262},
   number = {part 1},
   year = {2018},
   pages = {110--122},
   doi = {10.1016/j.ic.2018.07.003},
}

@article{CS05,
   author = {Calude, Cristian S. and Staiger, Ludwig},
   title = {Generalisations of disjunctive sequences},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {2},
   year = {2005},
   pages = {120--128},
}

@article{CS07,
   author = {Cagnard, Benoit and Simonnet, Pierre},
   title = {Automata, {B}orel Functions and Real Numbers in {P}isot Base},
   journal = {Theoretical Informatics and Applications},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {27--44},
}

@inproceedings{CSZ07,
   author = {Chen, Qingliang and Su, Kaile and Zheng, Xizhong},
   title = {Primitive recursiveness of real numbers under different representation},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {303--324},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{CSZ07a,
   author = {Chen, Qingliang and Su, Kaile and Zheng, Xizhong},
   title = {Primitive recursive real numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {365--380},
}

@article{Cur03,
   author = {Curi, Giovanni},
   title = {Constructive metrisability in point-free topology},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {85--109},
}

@article{CW13,
   author = {Cenzer, Douglas and Weber, Rebecca},
   title = {Effective randomness of unions and intersections},
   journal = {Theory Comput. Syst.},
   volume = {52},
   number = {1},
   year = {2013},
   pages = {48--64},
   doi = {10.1007/s00224-012-9416-1},
}

@inproceedings{CWW09,
   author = {Cenzer, Douglas and Weber, Rebecca and Wu, Guohua},
   title = {Immunity for closed sets},
   booktitle = {Mathematical theory and computational practice},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {109--117},
   doi = {10.1007/978-3-642-03073-4_12},
}

@article{CY83,
   author = {Collins, W. and Young, P.},
   title = {Discountinuities of provably correct operators on the provably recursive real numbers},
   journal = {The Journal of Symbolic Logic},
   volume = {48},
   year = {1983},
   pages = {913--920},
}

@article{CZ11,
   author = {Collins, Pieter and Zapreev, Ivan S.},
   title = {Computable semantics for {${\rm CTL}^\ast$} on discrete-time and continuous-space dynamic systems},
   journal = {Internat. J. Found. Comput. Sci.},
   volume = {22},
   number = {4},
   year = {2011},
   pages = {801--821},
   doi = {10.1142/S012905411100843X},
}

@article{CZ62,
   author = {Ce{\u{\i}}tin, Gregory S. and Zaslavski{\u{i}}, Igor D.},
   title = {Singular coverings and properties of constructive functions connected with them ({R}ussian)},
   journal = {Tr.\ Mat.\ Inst.\ Steklov},
   volume = {67},
   year = {1962},
   pages = {458--502},
}

@article{CZ70,
   author = {Ce{\u{\i}}tin, Gregory S. and Zaslavski{\u{i}}, Igor D.},
   title = {A criterion of the rectifiability of constructive plane curves ({R}ussian)},
   journal = {Izv. {A}kad {N}auk {A}rmjan. SSR Ser. Mat.},
   volume = {5},
   year = {1970},
   pages = {434--440},
}

@article{CZ71,
   author = {Ce{\u{\i}}tin, Gregory S. and Zaslavski{\u{i}}, Igor D.},
   title = {Yet another constructive variant of the {C}auchy theorem ({R}ussian)},
   journal = {{Z}ap. {N}au\v{c}n. {S}em. {L}eningrad. {O}tdel. {M}at. {I}nst. {S}teklov ({L}{O}{M}{I})},
   volume = {20},
   year = {1971},
   pages = {36--39,282--283},
}

@inproceedings{CZS68,
   author = {Ce{\u{\i}}tin, Gregory S. and Zaslavski{\u{i}}, Igor D. and \v{S}anin N.A.},
   title = {Peculiarities of constructive mathematical analysis ({R}ussian)},
   booktitle = {Proc. Internat. Congr. Math.},
   publisher = {Mir},
   address = {Moscow},
   year = {1968},
   pages = {253--261},
}

@article{Dah04,
   author = {Dahlgren, Fredrik},
   title = {Computability and continuity in metric partial algebras equipped with computability structures},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {486--500},
}

@inproceedings{Dah06,
   author = {Dahlgren, Fredrik},
   title = {Partial Continuous Functions and Admissible Domain Representations},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {94--104},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@article{Dal05,
   author = {van Dalen, Dirk},
   title = {How the Mathematical Objects Determine the Mathematical Principles},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {2132--2141},
}

@inproceedings{Dal73,
   author = {van Dalen, Dirk},
   title = {Lectures on Intuitionism},
   editor = {Mathais, A. R. D. and Rogers, H.},
   booktitle = {Cambridge Summer School in Mathematical Logic},
   series = {Lecture Notes in Mathematics},
   year = {1973},
   pages = {1--94},
   note = {Aug. 1--21, 1971},
}

@article{Dal78,
   author = {van Dalen, D.},
   title = {An interpretation of intuitionistic analysis},
   journal = {Ann. Math. Logic},
   volume = {13},
   year = {1978},
   pages = {1--43},
   note = {with an appendix by {T}roelstra, A.S.},
}

@incollection{Dav04,
   author = {Davis, Martin},
   title = {The myth of hypercomputation},
   editor = {Teuscher, Christof},
   booktitle = {Alan Turing: Life and Legacy of a Great Thinker},
   publisher = {Springer},
   address = {Berlin, Heidelberg},
   year = {2004},
   pages = {195--211},
   doi = {10.1007/978-3-662-05642-4_8},
}

@inproceedings{DB08,
   author = {Dillhage, Ruth and Brattka, Vasco},
   title = {Computability of the Metric Projection Onto Finite-dimensional Linear Subspaces},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {45--60},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@inproceedings{DB99,
   author = {Dediu, Lumini{\c{t}}a and Bridges, Douglas S.},
   title = {Constructive notes on uniform and locally convex spaces},
   editor = {Ciobanu, G. and Pun, G.},
   booktitle = {Fundamentals of computation theory},
   series = {Lecture Notes in Computer Science},
   volume = {1684},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {195--203},
   note = {12th International Symposium, FCT'99, Iasi, Romania, August/September 1999},
}

@phdthesis{dBre10,
   author = {de Brecht, Matthew},
   title = {Topological and Algebraic Aspects of Algorithmic Learning Theory},
   school = {Graduate School of Informatics, Kyoto University},
   year = {2010},
}

@article{dBre13,
   author = {de Brecht, Matthew},
   title = {Quasi-{P}olish spaces},
   journal = {Ann. Pure Appl. Logic},
   volume = {164},
   number = {3},
   year = {2013},
   pages = {356--381},
   doi = {10.1016/j.apal.2012.11.001},
}

@incollection{dBre14,
   author = {de Brecht, Matthew},
   title = {Levels of Discontinuity, Limit-Computability, and Jump Operators},
   editor = {Brattka, Vasco and Diener, Hannes and Spreen, Dieter},
   booktitle = {Logic, Computation, Hierarchies},
   series = {Ontos Mathematical Logic},
   publisher = {Walter de Gruyter},
   address = {Boston},
   year = {2014},
   pages = {93--122},
}

@article{dBre18,
   author = {de Brecht, Matthew},
   title = {A generalization of a theorem of {H}urewicz for quasi-{P}olish spaces},
   journal = {Logical Methods in Computer Science},
   volume = {14},
   number = {1},
   year = {2018},
   month = Feb,
   pages = {1:13, 18},
   doi = {10.23638/LMCS-14(1:13)2018},
}

@inproceedings{dBre20,
   author = {de Brecht, Matthew},
   title = {Some Notes on Spaces of Ideals and Computable Topology},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {26--37},
   doi = {10.1007/978-3-030-51466-2_3},
}

@incollection{dBre22,
   author = {de Brecht, Matthew},
   title = {Constructing the space of valuations of a quasi-{P}olish space as a space of ideals},
   editor = {Manea, Florin and Simpson, Alex},
   booktitle = {30th {EACSL} {A}nnual {C}onference on {C}omputer {S}cience {L}ogic},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {216},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2022},
   pages = {Art. No. 9, 10},
   doi = {10.4230/LIPIcs.CSL.2022.9},
}

@inproceedings{dBSS15,
   author = {de Brecht, Matthew and Schr{\"o}der, Matthias and Selivanov, Victor},
   title = {Base-Complexity Classification of {QCB$_0$}--Spaces (Extended Abstract)},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {156--166},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_16},
}

@article{dBSS16,
   author = {de Brecht, Matthew and Schr{\"o}der, Matthias and Selivanov, Victor},
   title = {Base-Complexity Classification of {QCB$_0$}--Spaces},
   journal = {Computability},
   volume = {5},
   number = {1},
   year = {2016},
   pages = {75--102},
   doi = {10.3233/COM-150044},
}

@inproceedings{dBY09,
   author = {de Brecht, Matthew and Yamamoto, Akihiro},
   title = {{$\Sigma^0_\alpha$}-Admissible Representations (Extended Abstract)},
   editor = {Bauer, Andrej and Hertling, Peter and Ko, Ker-I},
   booktitle = {6th International Conference on Computability and Complexity in Analysis (CCA 2009)},
   series = {OpenAccess Series in Informatics (OASIcs)},
   volume = {11},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2009},
   doi = {10.4230/OASIcs.CCA.2009.2264},
}

@article{DDH+16,
   author = {Dorais, Fran\c{c}ois G. and Dzhafarov, Damir D. and Hirst, Jeffry L. and Mileti, Joseph R. and Shafer, Paul},
   title = {On uniform relationships between combinatorial problems},
   journal = {Transactions of the American Mathematical Society},
   volume = {368},
   number = {2},
   year = {2016},
   pages = {1321--1359},
   doi = {10.1090/tran/6465},
}

@article{DDW22,
   author = {Day, Adam R. and Downey, Rod and Westrick, Linda},
   title = {Three topological reducibilities for discontinuous functions},
   journal = {Transactions of the American Mathematical Society. Series B},
   volume = {9},
   year = {2022},
   pages = {859--895},
   doi = {10.1090/btran/115},
}

@inproceedings{DE13,
   author = {Di Gianantonio, Pietro and Edalat, Abbas},
   title = {A Language for Differentiable Functions},
   editor = {Pfenning, Frank},
   booktitle = {Foundations of Software Science and Computation Structures ({FoSSaCS}'13)},
   series = {Lecture Notes in Computer Science},
   volume = {7794},
   publisher = {Springer},
   address = {Berlin},
   year = {2013},
   pages = {337--352},
   doi = {10.1007/978-3-642-37075-5},
}

@phdthesis{Dei84a,
   author = {Deil, Thomas},
   title = {Darstellungen und {B}erechenbarkeit reeller {Z}ahlen},
   school = {Fachbereich Mathematik und Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1984},
}

@article{Dem65,
   author = {Demuth, Osvald},
   title = {On {L}ebesgue integration in constructive analysis ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {160},
   year = {1965},
   pages = {1239--1241},
}

@article{Dem67,
   author = {Demuth, Osvald},
   title = {The {L}ebesgue integral in constructive analysis ({R}ussian)},
   journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
   volume = {4},
   year = {1967},
   pages = {30--43},
   note = {[translation in: A.O. Slisenko (ed.), Studies in constructive mathematics and mathematical logic, Part II, Consultants Bureau, New York, 1970]},
}

@article{Dem67a,
   author = {Demuth, Osvald},
   title = {A necessary and sufficient condition for the {R}iemann integrability of constructive functions},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {176},
   year = {1967},
   pages = {757--758},
}

@article{Dem68,
   author = {Demuth, Osvald},
   title = {Fubini's theorem for the {R}iemann integral in constructive mathematics. ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {9},
   year = {1968},
   pages = {677--686},
}

@article{Dem68a,
   author = {Demuth, Osvald},
   title = {The {L}ebesgue integral and the concept of measurability of functions in constructive analysis ({R}ussian)},
   journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
   volume = {8},
   year = {1968},
   pages = {21--28},
   note = {[translation in: A.O. Slisenko (ed.), Studies in constructive mathematics and mathematical logic, Part II, Consultants Bureau, New York, 1970]},
}

@article{Dem68b,
   author = {Demuth, Osvald},
   title = {The connection between {R}iemann and {L}ebesgue integrability of constructive functions ({R}ussian)},
   journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
   volume = {8},
   year = {1968},
   pages = {29--31},
   note = {[translation in: A.O. Slisenko (ed.), Studies in constructive mathematics and mathematical logic, Part II, Consultants Bureau, New York, 1970]},
}

@article{Dem69,
   author = {Demuth, Osvald},
   title = {Note on the paper: ``{F}ubini's theorem for the {R}iemann integral in constructive mathematics'' ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {10},
   year = {1969},
   pages = {115--120},
}

@article{Dem69a,
   author = {Demuth, Osvald},
   title = {The differentiability of constructive functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {10},
   year = {1969},
   pages = {167--175},
}

@article{Dem69b,
   author = {Demuth, Osvald},
   title = {The spaces ${L}\sb{n}$ and ${S}$ in constructive mathematics ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {10},
   year = {1969},
   pages = {261--284},
}

@article{Dem69c,
   author = {Demuth, Osvald},
   title = {Linear functionals in the constructive spaces ${L}\sb{r}$ ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {10},
   year = {1969},
   pages = {357--390},
}

@article{Dem69d,
   author = {Demuth, Osvald},
   title = {The representability of constructive functions of weakly bounded variation ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {11},
   year = {1970},
   pages = {421--434},
}

@article{Dem69e,
   author = {Demuth, Osvald},
   title = {The {L}ebesgue measurability of sets in constructive mathematic ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {10},
   year = {1969},
   pages = {463--492},
}

@article{Dem70,
   author = {Demuth, Osvald},
   title = {Mean value theorems for the constructive {L}ebesgue integral ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {11},
   year = {1970},
   pages = {249--269},
}

@article{Dem70a,
   author = {Demuth, Osvald},
   title = {The representability of constructive functions of weakly bounded variation ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {11},
   year = {1970},
   pages = {421--434},
}

@article{Dem70b,
   author = {Demuth, Osvald},
   title = {The integrability of derivatives of constructive functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {11},
   year = {1970},
   pages = {667--691},
}

@article{Dem70c,
   author = {Demuth, Osvald},
   title = {Necessary and sufficient conditions for the absolute continuity of constructive functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {11},
   year = {1970},
   pages = {705--726},
}

@article{Dem71,
   author = {Demuth, Osvald},
   title = {The superpositions of absolutely continuous constructive functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {12},
   year = {1971},
   pages = {423--451},
}

@article{Dem71a,
   author = {Demuth, Osvald},
   title = {A necessary and sufficient condition for the representability of constructive functions in the form of the sum of a singular and an absolutely continuous function ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {12},
   year = {1971},
   pages = {587--610},
}

@article{Dem71b,
   author = {Demuth, Osvald},
   title = {A certain condition for the differentiability of constructive functions of bounded variation ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {12},
   year = {1971},
   pages = {687--711},
}

@article{Dem72,
   author = {Demuth, Osvald},
   title = {A necessary and sufficient condition for the representability of constructive functions in the form of a superposition of absolutely continuous functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {13},
   year = {1972},
   pages = {227--251},
}

@article{Dem72a,
   author = {Demuth, Osvald},
   title = {A sufficient condition for the representability of constructive functions in the form of the sum of two superpositions of absolutely continuous functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {13},
   year = {1972},
   pages = {265--282},
}

@article{Dem73,
   author = {Demuth, Osvald},
   title = {The representability of uniformly continuous constructive functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {14},
   year = {1973},
   pages = {7--25},
}

@article{Dem73a,
   author = {Demuth, Osvald},
   title = {The constructive analogue of the connection between the {L}ebesgue measurability of sets and of functions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {14},
   year = {1973},
   pages = {377--396},
}

@article{Dem73b,
   author = {Demuth, Osvald and N{\v{e}}me{\v{c}}kov{\'a}, L.},
   title = {The constructive analogues of the properties $({N})$ and $({S})$ ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {14},
   year = {1973},
   pages = {565--582},
}

@article{Dem74,
   author = {Demuth, Osvald},
   title = {The representability of constructive functions possessing the properties $({\rm {S}})$ and $({\rm {T}}\sb{1})$ in the form of superpositions ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {15},
   year = {1974},
   pages = {49--64},
}

@article{Dem74a,
   author = {Demuth, Osvald},
   title = {The connection between the representability of a constructive function in the form of a superposition of two absolutely continuous functions and the differentiability of this function ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {15},
   year = {1974},
   pages = {195--210},
}

@article{Dem75,
   author = {Demuth, Osvald},
   title = {Constructive pseudonumbers ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {16},
   year = {1975},
   pages = {315--331},
}

@article{Dem75a,
   author = {Demuth, Osvald},
   title = {The differentiability of constructive functions of weakly bounded variation on pseudo numbers ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {16},
   number = {3},
   year = {1975},
   pages = {583--599},
}

@article{Dem76,
   author = {Demuth, Osvald},
   title = {The constructive analogue of the {D}enjoy-{Y}oung theorem on derived numbers ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {17},
   number = {1},
   year = {1976},
   pages = {111--126},
}

@article{Dem76a,
   author = {Demuth, Osvald},
   title = {The domains of definition of effective operators over general recursive functions and of constructive functions of a real variable ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {17},
   number = {4},
   year = {1976},
   pages = {633--646},
}

@article{Dem77,
   author = {Demuth, Osvald},
   title = {A constructive analogue of the functions of the $n$th {B}aire class ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {18},
   number = {2},
   year = {1977},
   pages = {231--245},
}

@article{Dem77a,
   author = {Demuth, Osvald},
   title = {A generalization of the constructive {L}ebesgue integral ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {18},
   number = {3},
   year = {1977},
   pages = {499--514},
}

@article{Dem78,
   author = {Demuth, Osvald},
   title = {Some questions of the theory of constructive functions of a real variable ({R}ussian)},
   journal = {Acta Universitatis Carolinae. Mathematica et Physica},
   volume = {19},
   number = {1},
   year = {1978},
   pages = {61--96},
}

@article{Dem78a,
   author = {Demuth, Osvald},
   title = {The pseudodifferentiability of uniformly continuous constructive functions on constructive real numbers ({R}ussian)},
   journal = {Comment. Math. Univ. Carolin.},
   volume = {19},
   number = {2},
   year = {1978},
   pages = {319--333},
}

@article{Dem78b,
   author = {Demuth, Osvald},
   title = {Constructive analogues of generalized absolutely continuous functions of generalized bounded variation ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {19},
   number = {3},
   year = {1978},
   pages = {471--487},
}

@article{Dem79,
   author = {Demuth, Osvald},
   title = {Constructive {D}enjoy integrals ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {20},
   number = {2},
   year = {1979},
   pages = {213--227},
}

@article{Dem79a,
   author = {Demuth, Osvald},
   title = {The use of the {R}iemann-{S}tieltjes integral in the theory of the constructive {L}ebesgue integral, and its generalizations ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {20},
   number = {4},
   year = {1979},
   pages = {781--793},
}

@article{Dem80,
   author = {Demuth, Osvald},
   title = {On the constructive {P}erron integral ({R}ussian)},
   journal = {Acta Universitatis Carolinae. Mathematica et Physica},
   volume = {21},
   number = {1},
   year = {1980},
   pages = {3--57},
}

@article{Dem80a,
   author = {Demuth, Osvald},
   title = {A constructive analogue of {K}. {M}. {G}arg's theorem on derivative numbers ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {21},
   number = {3},
   year = {1980},
   pages = {457--472},
}

@article{Dem80b,
   author = {Demuth, Osvald},
   title = {Pseudodifferentiability of constructive functions on constructive real numbers ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {21},
   number = {3},
   year = {1980},
   pages = {489--505},
}

@article{Dem81,
   author = {Demuth, Osvald},
   title = {On the pseudodifferentiability of uniformly continuous constructive functions from functions of the same type ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {22},
   number = {3},
   year = {1981},
   pages = {497--512},
}

@article{Dem81a,
   author = {Demuth, Osvald},
   title = {A generalization of a constructive analogue of {K}. {M}. {G}arg's theorem ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {22},
   number = {3},
   year = {1981},
   pages = {607--620},
}

@article{Dem82,
   author = {Demuth, Osvald},
   title = {Borel types of some classes of arithmetical real numbers ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {23},
   number = {3},
   year = {1982},
   pages = {593--606},
}

@article{Dem82a,
   author = {Demuth, Osvald},
   title = {Some classes of arithmetical real numbers ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {23},
   number = {3},
   year = {1982},
   pages = {453--465},
}

@article{Dem83,
   author = {Demuth, Osvald},
   title = {Arithmetic complexity of differentiation in constructive mathematics ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {24},
   number = {2},
   year = {1983},
   pages = {301--316},
}

@article{Dem83a,
   author = {Demuth, Osvald},
   title = {On the pseudodifferentiability of pseudo-uniformly continuous constructive functions from functions of the same type ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {24},
   number = {3},
   year = {1983},
   pages = {391--406},
}

@article{Dem87,
   author = {Demuth, Oswald},
   title = {A notion of semigenericity},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {28},
   number = {1},
   year = {1987},
   pages = {71--84},
}

@inproceedings{Dem87a,
   author = {Demuth, Osvald},
   title = {An example of the construction of pseudonumbers by the methods of recursion theory},
   editor = {Tonoyan, R.N.},
   booktitle = {Applied mathematics, No. 5 (Russian)},
   publisher = {Erevan. Univ.},
   address = {Erevan},
   year = {1987},
   pages = {55--73, 131--132},
}

@article{Dem88,
   author = {Demuth, Osvald},
   title = {Reducibilities of sets based on constructive functions of a real variable},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {29},
   number = {1},
   year = {1988},
   pages = {143--156},
}

@article{Dem88a,
   author = {Demuth, Osvald},
   title = {Remarks on the structure of tt-degrees based on constructive measure theory},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {29},
   number = {2},
   year = {1988},
   pages = {233--247},
}

@inproceedings{Dem90,
   author = {Demuth, Osvald},
   title = {Remarks on {D}enjoy sets},
   booktitle = {Mathematical logic},
   publisher = {Plenum},
   address = {New York},
   year = {1990},
   pages = {267--280},
}

@inproceedings{DEMY02,
   author = {Du, Zilin and Eleftheriou, Maria and Moreira, Jos{\'e} E. and Yap, Chee},
   title = {Hypergeometric Functions in Exact Geometric Computation},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@phdthesis{Det85,
   author = {Dettki, Hans Joachim},
   title = {Untersuchungen zur Darstellungsberechenbarkeit von Ordinalzahlfunktionen},
   school = {Fachbereich Mathematik und Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1985},
}

@article{DF13,
   author = {Davie, George and Fouch{\'e}, Willem L.},
   title = {On the computability of a construction of {B}rownian motion},
   journal = {Mathematical Structures in Computer Science},
   volume = {23},
   year = {2013},
   month = {12},
   pages = {1257--1265},
   doi = {10.1017/S0960129513000157},
}

@inproceedings{DF87,
   author = {Demuth, Osvald and Filipec, Pavel},
   title = {Differentiation of constructive functions of a real variable and relative computability},
   editor = {Skordev, D.G.},
   booktitle = {Mathematical Logic and Its Applications},
   publisher = {Plenum Press},
   address = {New York},
   year = {1987},
   pages = {81--106},
   note = {Proceedings of an advanced international summer school and conference in honor of the 80th anniversary of Kurt G\"odel's birth, held September 24--October 4, 1986 in Druzhba, Bulgaria},
}

@article{DFKL22,
   author = {Dave, Vrunda and Filiot, Emmanuel and Krishna, Shankara Narayanan and Lhote, Nathan},
   title = {Synthesis of computable regular functions of infinite words},
   journal = {Logical Methods in Computer Science},
   volume = {18},
   number = {2},
   year = {2022},
   pages = {Paper No. 23, 29},
   doi = {10.46298/lmcs-18(2:23)2022},
}

@inproceedings{DG02,
   author = {Downey, Rod G. and Griffiths, Evan J.},
   title = {Schnorr Randomness},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{DGH+20,
   author = {Dzhafarov, Damir D. and Goh, Jun Le and Hirschfeldt, Denis R. and Patey, Ludovic and Pauly, Arno},
   title = {Ramsey's theorem and products in the {W}eihrauch degrees},
   journal = {Computability},
   volume = {9},
   number = {2},
   year = {2020},
   pages = {85--110},
   doi = {10.3233/com-180203},
}

@article{DGL04,
   author = {Downey, Rod G. and Griffiths, Evan J. and LaForte, Geoffrey L.},
   title = {On {S}chnorr and computable randomness, martingales, and machines},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {6},
   year = {2004},
   pages = {613--627},
}

@inproceedings{DGS07,
   author = {de Miguel Casado, Gregorio and Garc{\'{\i}}a Chamizo, Juan Manuel and Signes Pont, Mar{\'{\i}}a Teresa},
   title = {Algebraic Model of an Arithmetic Unit for {TTE}-Computable Normalized Rational Numbers},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {218--227},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@proceedings{DGSWZ08,
   title = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   address = {Amsterdam},
   year = {2008},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{DH12,
   author = {Diener, Hannes and Hedin, Anton},
   title = {The {V}itali covering theorem in constructive mathematics},
   journal = {Journal of Logic and Analysis},
   volume = {4},
   year = {2012},
   pages = {Paper 7, 22},
   doi = {10.4115/jla.2012.4.7},
}

@article{DH18,
   author = {Diener, Hannes and Hendtlass, Matthew},
   title = {Bishop's lemma},
   journal = {Mathematical Logic Quarterly},
   volume = {64},
   number = {1-2},
   year = {2018},
   pages = {49--54},
   doi = {10.1002/malq.201600041},
}

@article{DH19a,
   author = {Diener, Hannes and Hendtlass, Matthew},
   title = {Completeness: when enough is enough},
   journal = {Documenta Mathematica},
   volume = {24},
   year = {2019},
   pages = {899--914},
}

@article{DH20,
   author = {Diener, Hannes and Hendtlass, Matthew},
   title = {Differentiating convex functions constructively},
   journal = {Journal of Logic and Analysis},
   volume = {12},
   year = {2020},
   pages = {Paper No. 8, 11},
   doi = {10.4115/jla.2020.12.8},
}

@article{DH22,
   author = {Diener, Hannes and Hendtlass, Matthew},
   title = {The Third Trick},
   journal = {Logical Methods in Computer Science},
   volume = {18},
   number = {3},
   year = {2022},
   month = Aug,
   pages = {21:1--21:12},
   doi = {10.46298/lmcs-18(3:21)2022},
}

@article{DHH+20,
   author = {Davis, Caleb and Hirschfeldt, Denis R. and Hirst, Jeffry and Pardo, Jake and Pauly, Arno and Yokoyama, Keita},
   title = {Combinatorial principles equivalent to weak induction},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {219--229},
   doi = {10.3233/com-180244},
}

@inproceedings{DHL01,
   author = {Downey, Rod G. and Hirschfeldt, Denis R. and LaForte, Geoffrey L.},
   title = {Randomness and Reducibility},
   editor = {Sgall, Ji{\v{r}}{\'{\i}} and Pultr, Ale{\v{s}} and Kolman, Petr},
   booktitle = {Mathematical Foundations of Computer Science 2001},
   series = {Lecture Notes in Computer Science},
   volume = {2136},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {316--327},
   note = {26th International Symposium, MFCS 2001, Mari{\'{a}}nsk{\'{e}} L{\'{a}}zn{\v{e}}, Czech Republic, August 27-31, 2001},
}

@inproceedings{DHNS02,
   author = {Downey, Rod G. and Hirschfeldt, Denis R. and Nies, Andr{\'{e}} and Stephan, Frank},
   title = {Trivial Reals},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@inproceedings{DHNS03,
   author = {Downey, Rod G. and Hirschfeldt, Denis R. and Nies, Andr{\'{e}} and Stephan, Frank},
   title = {Trivial Reals},
   editor = {Downey, Rod and Decheng, Ding and Ping, Tung Shih and Hui, Qiu Yu and Yasugi, Mariko},
   booktitle = {Proceedings of the 7th and 8th Asian Logic Conferences},
   publisher = {World Scientific},
   address = {Singapore},
   year = {2003},
   pages = {63--102},
   note = {7th Conference: Hsi-Tou, Taiwan, June 6--10, 1999; 8th Conference: Chongqing, China, August 29 -- September 2, 2002},
}

@article{DHR22,
   author = {Dzhafarov, Damir D. and Hirschfeldt, Denis R. and Reitzes, Sarah C.},
   title = {Reduction Games, Provability, and Compactness},
   journal = {Journal of Mathematical Logic},
   volume = {22},
   number = {3},
   year = {2022},
   pages = {2250009},
   doi = {10.1142/S021906132250009X},
}

@incollection{DI21,
   author = {Diener, Hannes and Ishihara, Hajime},
   title = {Bishop-Style Constructive Reverse Mathematics},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {347--365},
   doi = {10.1007/978-3-030-59234-9_10},
}

@article{Die08,
   author = {Diener, Hannes},
   title = {Generalising compactness},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {1},
   year = {2008},
   pages = {49--57},
   doi = {10.1002/malq.200710041},
}

@phdthesis{Die08a,
   author = {Diener, Hannes},
   title = {Compactness under constructive scrutiny},
   school = {University of Canterbury, Christchurch, New Zealand},
   year = {2008},
   note = {{Ph.D.} thesis},
}

@article{Die12,
   author = {Diener, Hannes},
   title = {Reclassifying the antithesis of {S}pecker's theorem},
   journal = {Arch. Math. Logic},
   volume = {51},
   number = {7-8},
   year = {2012},
   pages = {687--693},
   doi = {10.1007/s00153-012-0292-9},
}

@article{Die13,
   author = {Diener, Hannes},
   title = {Weak {K}{\"o}nig's Lemma Implies the Uniform Continuity Theorem},
   journal = {Computability},
   volume = {2},
   number = {1},
   year = {2013},
   pages = {9--13},
   doi = {10.3233/10.3233/COM-13009},
}

@article{Die15,
   author = {Diener, Hannes},
   title = {Variations on a theme by {I}shihara},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {10},
   pages = {1569--1577},
   doi = {10.1017/S0960129513000261},
}

@phdthesis{Die18,
   author = {Diener, Hannes},
   title = {Constructive Reverse Mathematics},
   school = {Fachbereich Mathematik, Universit{\"a}t Siegen},
   year = {2018},
}

@inproceedings{Dil08,
   author = {Dillhage, Ruth},
   title = {Computability of the Spectrum of Self-Adjoint Operators and the Computable Operational Calculus},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {365--384},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@phdthesis{Dil12,
   author = {Dillhage, Ruth},
   title = {Computable Functional Analysis, Compact Operators on Computable Banach Spaces and Computable Best Approximation},
   school = {Faculty for Mathematics and Computer Science, University of Hagen},
   address = {Hagen, Germany},
   year = {2012},
}

@article{Din65,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {Constructive locally convex linear topological spaces ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {162},
   year = {1965},
   pages = {766--769},
}

@article{Din66,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {The metrizability, normability and multinormability of constructive locally convex spaces ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {162},
   year = {1965},
   pages = {1011--1014},
}

@article{Din66a,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {On conjugates to constructive, locally convex spaces ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {166},
   year = {1966},
   pages = {45--48},
}

@article{Din67,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {Constructive generalized functions ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {174},
   year = {1967},
   pages = {37--40},
}

@article{Din67a,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {Certain properties of constructive generalized functions ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {174},
   year = {1967},
   pages = {298--301},
}

@article{Din67b,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {A language for constructive mathematics, connected with systems of sets ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklova},
   volume = {93},
   year = {1967},
   pages = {123--141},
}

@article{Din67c,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {Closed and open sets in constructive topological spaces ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklova},
   volume = {93},
   year = {1967},
   pages = {250--256},
}

@article{Din68,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {Spaces of constructive infinitely differentiable functions, and functionals therein ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {180},
   year = {1968},
   pages = {799--802},
}

@book{Din74,
   author = {Phan D{\`\i}nh-Di{\^{e}}u},
   title = {Some questions in constructive functional analysis},
   series = {Proceedings of the Steklov Institute of Mathematics},
   volume = {114},
   publisher = {American Mathematical Society},
   address = {Providence},
   year = {1974},
}

@inproceedings{DK09,
   author = {Diamondstone, David and Kjos-Hanssen, Bj{\o}rn},
   title = {Members of Random Closed Sets},
   editor = {Ambos-Spies, Klaus and L{\"o}we, Benedikt and Merkle, Wolfgang},
   booktitle = {Mathematical Theory and Computational Practice, 5th Conference on Computability in Europe, CiE 2009, Heidelberg, Germany, July 19-24, 2009. Proceedings},
   series = {Lecture Notes in Computer Science},
   volume = {5635},
   publisher = {Springer},
   year = {2009},
   pages = {144--153},
   doi = {10.1007/978-3-642-03073-4\_16},
}

@inproceedings{DK79,
   author = {Demuth, Osvald and Ku{\v{c}}era, A.},
   title = {Remarks on constructive mathematical analysis},
   booktitle = {Logic Colloquium '78 (Mons, 1978)},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1979},
   pages = {81--129},
}

@article{DK80,
   author = {Demuth, Osvald and Km{\'\i}nek, V.},
   title = {Properties of indefinite constructive {L}ebesgue-{S}tieltjes integrals ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {21},
   number = {4},
   year = {1980},
   pages = {629--644},
}

@article{DK85,
   author = {Downey, Rod and Kalantari, Iraj},
   title = {Effective extensions of linear forms on a recursive vector space over a recursive field},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {31},
   number = {3},
   year = {1985},
   pages = {193--200},
}

@article{DK87,
   author = {Demuth, Osvald and Ku{\v{c}}era, A.},
   title = {Remarks on $1$-genericity, semigenericity and related concepts},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {28},
   number = {1},
   year = {1987},
   pages = {85--94},
}

@article{DK89,
   author = {Du, D. and Ko, Ker-I},
   title = {Computational complexity of integration and differentiation of convex functions},
   journal = {System Sci.\ and Math.\ Sci.},
   volume = {2},
   year = {1989},
   pages = {70--79},
}

@article{DK92,
   author = {Du, D. and Ko, Ker-I},
   title = {A note on best fractions of a computable real number},
   journal = {Journal of Complexity},
   volume = {8},
   year = {1992},
   pages = {216--229},
}

@article{DKK78,
   author = {Demuth, Osvald and Kryl, R. and Ku{\v{c}}era, A.},
   title = {The use of the theory of functions that are partial recursive relative to numerical sets in constructive mathematics ({R}ussian)},
   journal = {Acta Universitatis Carolinae. Mathematica et Physica},
   volume = {19},
   number = {1},
   year = {1978},
   pages = {15--60},
}

@article{DKSZ20,
   author = {Ding, Longyun and Kihara, Takayuki and Semmes, Brian and Zhao, Jiafei},
   title = {Decomposing functions of {B}aire class 2 on {P}olish spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {85},
   number = {3},
   year = {2020},
   pages = {960--971},
   doi = {10.1017/jsl.2020.57},
}

@article{DL02,
   author = {Downey, Rodney G. and LaForte, Geoffrey L.},
   title = {Presentations of computably enumerable reals},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {539--555},
}

@article{DL09,
   author = {Diener, Hannes and Loeb, Iris},
   title = {Sequences of real functions on $[0,1]$ in constructive reverse mathematics},
   journal = {Annals of Pure and Applied Logic},
   volume = {157},
   number = {1},
   year = {2009},
   pages = {1--62},
}

@article{DL11,
   author = {Diener, Hannes and Loeb, Iris},
   title = {Constructive reverse investigations into differential equations},
   journal = {Journal of Logic and Analysis},
   volume = {3},
   year = {2011},
   pages = {Paper 8, 26},
}

@incollection{DL18,
   author = {Diener, Hannes and Lubarsky, Robert},
   title = {Notions of {C}auchyness and metastability},
   booktitle = {Logical foundations of computer science},
   series = {Lecture Notes in Comput. Sci.},
   volume = {10703},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {140--153},
}

@article{DM12,
   author = {Daniel, Dale and McNicholl, Timothy H.},
   title = {Effective versions of local connectivity properties},
   journal = {Theory of Computing Systems},
   volume = {50},
   number = {4},
   year = {2012},
   pages = {621--640},
   doi = {10.1007/s00224-011-9364-1},
}

@article{DM13a,
   author = {Day, Adam R. and Miller, Joseph S.},
   title = {Randomness for non-computable measures},
   journal = {Transactions of the American Mathematical Society},
   volume = {365},
   number = {7},
   year = {2013},
   pages = {3575--3591},
   doi = {10.1090/S0002-9947-2013-05682-6},
}

@inproceedings{DM20,
   author = {Downey, Rodney G. and Melnikov, Alexander G.},
   title = {Computable Analysis and Classification Problems},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {100--111},
   doi = {10.1007/978-3-030-51466-2_9},
}

@book{DM22,
   author = {Dzhafarov, Damir D. and Mummert, Carl},
   title = {Reverse Mathematics},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   year = {2022},
   doi = {10.1007/978-3-031-11367-3},
}

@article{DM23,
   author = {Downey, Rod G. and Melnikov, Alexander G.},
   title = {Computably compact metric spaces},
   journal = {Bulletin of Symbolic Logic},
   volume = {29},
   number = {2},
   year = {2023},
   pages = {170--263},
   doi = {10.1017/bsl.2023.16},
}

@article{DMR06,
   author = {Downey, Rodney and Merkle, Wolfgang and Reimann, Jan},
   title = {Schnorr dimension},
   journal = {Mathematical Structures in Computer Science},
   volume = {16},
   number = {5},
   year = {2006},
   pages = {789--811},
}

@article{DN73,
   author = {Demuth, Osvald and Neme{\v{c}}kova, L.},
   title = {The constructive analogue of the property $({T}\sb{1})$ ({R}ussian)},
   journal = {Comment. Math. Univ. Carolinae},
   volume = {14},
   year = {1973},
   pages = {421--439},
}

@inproceedings{Dow03,
   author = {Downey, Rodney G.},
   title = {Presentations of reals (Abstract)},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {11--12},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@inproceedings{DP01,
   author = {Dunlop, Anthony J. and Pour-El, Marian B.},
   title = {The Degree of Unsolvability of a Real Number},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {16--29},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{DP21,
   author = {Dzhafarov, Damir D. and Patey, Ludovic},
   title = {{COH}, {SRT22}, and multiple functionals},
   journal = {Computability},
   volume = {10},
   number = {2},
   year = {2021},
   pages = {111--121},
   doi = {10.3233/COM-190261},
}

@article{DP79,
   author = {Demuth, Osvald and Polivka, {\u{I}}.},
   title = {The representation of linear functionals in the space of codes of constructive functions that are uniformly continuous on the segment $0\triangle 1$ ({R}ussian)},
   journal = {Commentationes Mathematicae Universitatis Carolinae},
   volume = {20},
   number = {4},
   year = {1979},
   pages = {765--780},
}

@article{DPSW17,
   author = {Dzhafarov, Damir D. and Patey, Ludovic and Solomon, Reed and Westrick, Linda Brown},
   title = {Ramsey's theorem for singletons and strong computable reducibility},
   journal = {Proceedings of the American Mathematical Society},
   volume = {145},
   year = {2017},
   doi = {10.1090/proc/13315},
}

@article{DS10,
   author = {Diener, Hannes and Schuster, Peter},
   title = {On choice principles and fan theorems},
   journal = {J.UCS},
   volume = {16},
   number = {18},
   year = {2010},
   pages = {2556--2562},
}

@article{DS11,
   author = {Diener, H. and Schuster, P.},
   title = {Uniqueness, continuity and the existence of implicit functions in constructive analysis},
   journal = {LMS J. Comput. Math.},
   volume = {14},
   year = {2011},
   pages = {127--136},
   doi = {10.1112/S1461157010000057},
}

@inproceedings{DSW86,
   author = {Dettki, H.J. and Schuster, H. and Weihrauch, K.},
   title = {Type 2 recursion theory},
   editor = {Demetrovics, J. and Katona, G. and Salomaa, A.},
   booktitle = {Algebra, Combinatorics and Logic in Computer Science, Vol. 1},
   series = {Coll. Math. Soc. J\'{a}nos Bolyai},
   volume = {42},
   year = {1986},
   pages = {355--361},
   note = {Papers from Colloq., Sept. 12--16, 1983, Gy\"or},
}

@article{DT02,
   author = {Downey, Rod and Terwijn, Sebastiaan},
   title = {Computably Enumerable Reals and Uniformly Presentable Ideals},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {29--40},
}

@phdthesis{Dud12,
   author = {Dudko, Artem},
   title = {Dynamics of holomorphic maps: {R}esurgence of {F}atou coordinates, and {P}oly-time computability of {J}ulia sets},
   publisher = {ProQuest LLC, Ann Arbor, MI},
   school = {University of Toronto},
   year = {2012},
   pages = {124},
}

@article{Dud14,
   author = {Dudko, Artem},
   title = {Computability of the {J}ulia set. {N}onrecurrent critical orbits},
   journal = {Discrete and Continuous Dynamical Systems. Series A},
   volume = {34},
   number = {7},
   year = {2014},
   pages = {2751--2778},
   doi = {10.3934/dcds.2014.34.2751},
}

@inproceedings{Dum75,
   author = {Dummett, M.},
   title = {The {P}hilosophical {B}asis of {I}ntuitionistic {L}ogic},
   editor = {Rose, H.E. and Shepherdson, J.C.},
   booktitle = {Logic Colloquium '73},
   series = {Stud. Logic. Found. Math.},
   volume = {80},
   year = {1975},
   pages = {5--40},
   note = {(Bristol 1973)},
}

@book{Dum77,
   author = {Dummett, M.},
   title = {Elements of {I}ntuitionism},
   publisher = {Oxford Univ. Press},
   year = {1977},
}

@phdthesis{Dun99,
   author = {Dunlop, Anthony James},
   title = {Degrees of unsolvability and relative computability of real numbers},
   school = {University of Minnesota},
   year = {1999},
   pages = {78},
   note = {{Ph.D.} Thesis},
}

@inproceedings{DVZ22,
   author = {Dadush, Daniel and V\'{e}gh, L\'{a}szl\'{o} A. and Zambelli, Giacomo},
   title = {On finding exact solutions of linear programs in the oracle model},
   booktitle = {Proceedings of the 2022 {A}nnual {ACM}-{SIAM} {S}ymposium on {D}iscrete {A}lgorithms ({SODA})},
   publisher = {Society for Industrial and Applied Mathematics (SIAM)},
   address = {Philadelphia, PA},
   year = {2022},
   pages = {2700--2722},
   doi = {10.1137/1.9781611977073.106},
}

@book{DW20,
   title = {Complexity and Approximation, in Memory of Ker-I Ko},
   editor = {Du, Ding-Zhu and Wang, Jie},
   series = {Lecture Notes in Computer Science},
   volume = {12000},
   publisher = {Springer},
   address = {Cham},
   year = {2020},
   doi = {10.1007/978-3-030-41672-0},
}

@incollection{DW20a,
   author = {Du, Ding-Zhu and Wang, Jie},
   title = {In Memoriam: {Ker-I Ko} (1950--2018)},
   editor = {Du, Ding-Zhu and Wang, Jie},
   booktitle = {Complexity and Approximation: In Memory of {Ker-I Ko}},
   publisher = {Springer},
   address = {Cham},
   year = {2020},
   pages = {1--7},
   doi = {10.1007/978-3-030-41672-0_1},
}

@inproceedings{DWW07,
   author = {Ding, Decheng and Weihrauch, Klaus and Wu, Yongcheng},
   title = {Absolutely non-effective predicates and functions in Computable Analysis},
   editor = {Cai, Jin-Yi and Cooper, S. Barry and Zhou, Hong},
   booktitle = {Theory and Applications of Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {4484},
   year = {2007},
   pages = {595--604},
}

@article{DWZ04,
   author = {Downey, Rod and Wu, Guohua and Zheng, Xizhong},
   title = {Degrees of d.c.e. reals},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {345--350},
}

@article{DY16,
   author = {Dudko, Artem and Yampolsky, Michael},
   title = {Poly-time computability of the {F}eigenbaum {J}ulia set},
   journal = {Ergodic Theory and Dynamical Systems},
   volume = {36},
   number = {8},
   year = {2016},
   pages = {2441--2462},
   doi = {10.1017/etds.2015.24},
}

@article{DY21,
   author = {Dudko, Artem and Yampolsky, Michael},
   title = {On computational complexity of {C}remer {J}ulia sets},
   journal = {Fundamenta Mathematicae},
   volume = {252},
   number = {3},
   year = {2021},
   pages = {343--353},
   doi = {10.4064/fm829-12-2019},
}

@article{Dzh15,
   author = {Dzhafarov, Damir D.},
   title = {Cohesive avoidance and strong reductions},
   journal = {Proceedings of the American Mathematical Society},
   volume = {143},
   number = {2},
   year = {2015},
   pages = {869--876},
   doi = {10.1090/S0002-9939-2014-12261-1},
}

@article{Dzh16,
   author = {Dzhafarov, Damir D.},
   title = {Strong reductions between combinatorial principles},
   journal = {Journal of Symbolic Logic},
   volume = {81},
   number = {4},
   year = {2016},
   pages = {1405-1431},
   doi = {10.1017/jsl.2016.1},
}

@article{Dzh19,
   author = {Dzhafarov, Damir D.},
   title = {Joins in the strong {W}eihrauch degrees},
   journal = {Mathematical Research Letters},
   volume = {26},
   number = {3},
   year = {2019},
   pages = {749--767},
   doi = {10.4310/MRL.2019.v26.n3.a5},
}

@inproceedings{Eda07,
   author = {Edalat, Abbas},
   title = {A Continuous Derivative for Real-Valued Functions},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {248--257},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@inproceedings{Eda07a,
   author = {Edalat, Abbas},
   title = {A computable approach to measure and integration theory},
   booktitle = {LICS '07: Proceedings of the 22nd Annual IEEE Symposium on Logic in Computer Science},
   publisher = {IEEE Computer Society},
   address = {Washington, DC, USA},
   year = {2007},
   pages = {463--472},
}

@article{Eda09,
   author = {Edalat, Abbas},
   title = {A computable approach to measure and integration theory},
   journal = {Information and Computation},
   volume = {207},
   number = {5},
   year = {2009},
   pages = {642--659},
}

@article{Eda15,
   author = {Edalat, Abbas},
   title = {A derivative for complex {L}ipschitz maps with generalised {C}auchy-{R}iemann equations},
   journal = {Theoretical Computer Science},
   volume = {564},
   year = {2015},
   pages = {89--106},
   doi = {10.1016/j.tcs.2014.11.003},
}

@inproceedings{Eda15a,
   author = {Edalat, Abbas},
   title = {Extensions of domain maps in differential and integral calculus},
   booktitle = {2015 30th {A}nnual {ACM}/{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience ({LICS} 2015)},
   publisher = {IEEE Computer Soc.},
   address = {Los Alamitos, CA},
   year = {2015},
   pages = {426--437},
}

@article{Eda95,
   author = {Edalat, Abbas},
   title = {Domain theory and integration},
   journal = {Theoretical Computer Science},
   volume = {151},
   year = {1995},
   pages = {163--193},
}

@article{Eda95a,
   author = {Edalat, Abbas},
   title = {Dynamical systems, measures, and fractals via domain theory},
   journal = {Information and Computation},
   volume = {120},
   number = {1},
   year = {1995},
   pages = {32--48},
}

@article{Eda96,
   author = {Edalat, Abbas},
   title = {Power domains and iterated function systems},
   journal = {Information and Computation},
   volume = {124},
   number = {2},
   year = {1996},
   pages = {182--197},
}

@inproceedings{Eda96a,
   author = {Edalat, Abbas},
   title = {The {S}cott Topology Induces the Weak Topology},
   booktitle = {LICS '96: Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science},
   publisher = {IEEE Computer Society},
   address = {Washington, DC, USA},
   year = {1996},
   pages = {372},
}

@article{Eda97,
   author = {Edalat, Abbas},
   title = {Domains for Computation in Mathematics, Physics and Exact Real Arithmetic},
   journal = {Bulletin of Symbolic Logic},
   volume = {3},
   number = {4},
   year = {1997},
   pages = {401--452},
}

@article{EE01,
   author = {Edalat, Abbas and Escard\'{o}, Mart\'{\i}n H\"otzel},
   title = {Integration in real {PCF}},
   journal = {Information and Computation},
   volume = {160},
   year = {2001},
   pages = {128--166},
}

@article{EFL23,
   author = {Edalat, Abbas and Farjudian, Amin and Li, Yiran},
   title = {Recursive solution of initial value problems with temporal discretization},
   journal = {Theoretical Computer Science},
   volume = {980},
   year = {2023},
   pages = {Paper No. 114221, 39},
   doi = {10.1016/j.tcs.2023.114221},
}

@article{EG05,
   author = {Esposti, Mirko Degli and Galatolo, Stefano},
   title = {Recurrence near given sets and the complexity of the {C}asati-{P}rosen map},
   journal = {Chaos Solitons Fractals},
   volume = {23},
   number = {4},
   year = {2005},
   pages = {1275--1284},
}

@article{EH98,
   author = {Edalat, Abbas and Heckmann, Reinhold},
   title = {A computational model for metric spaces},
   journal = {Theoretical Computer Science},
   volume = {193},
   year = {1998},
   pages = {53--73},
}

@inproceedings{EK99,
   author = {Edalat, Abbas and Krznari{\'{c}}, Marko},
   title = {Numerical Integration with Exact Real Arithmetic},
   editor = {Wiedermann, Ji{\v{r}}{\'{\i}} and van Emde Boas, Peter and Nielsen, Mogens},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {1644},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {90--104},
   note = {26th International Colloquium, ICALP'99, Prague, Czech Republic, July, 1999},
}

@inproceedings{EKL00,
   author = {Edalat, Abbas and Kashefi, Elham and Lieutier, Andr\'{e}},
   title = {The Convex Hull is Computable!},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {75--77},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@inproceedings{EKL05,
   author = {Edalat, Abbas and Khanban, Ali A. and Lieutier, Andr\'{e}},
   title = {Computability in Computational Geometry},
   editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {117--127},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@inproceedings{EL00,
   author = {Edalat, Abbas and Lieutier, Andr\'{e}},
   title = {Domain of Differentiable Functions},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {79},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@article{EL02,
   author = {Edalat, Abbas and Lieutier, Andr\'{e}},
   title = {Foundation of a computable solid modelling},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {319--345},
}

@article{ELP13,
   author = {Edalat, Abbas and Lieutier, Andr{\'e} and Pattinson, Dirk},
   title = {A computational model for multi-variable differential calculus},
   journal = {Inform. and Comput.},
   volume = {224},
   year = {2013},
   pages = {23--45},
   doi = {10.1016/j.ic.2012.11.006},
}

@article{ELS04,
   author = {Escard{\'o}, Mart{\'{\i}}n and Lawson, Jimmie and Simpson, Alex},
   title = {Comparing {C}artesian closed categories of (core) compactly generated spaces},
   journal = {Topology and its Applications},
   volume = {143},
   number = {1-3},
   year = {2004},
   pages = {105--145},
   doi = {10.1016/j.topol.2004.02.011},
}

@inproceedings{EM17,
   author = {Edalat, Abbas and Maleki, Mehrdad},
   title = {Differentiation in logical form},
   booktitle = {2017 32nd {A}nnual {ACM}/{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience ({LICS})},
   publisher = {IEEE},
   address = {Piscataway, NJ},
   year = {2017},
   pages = {12},
}

@inproceedings{EM18,
   author = {Edalat, Abbas and Maleki, Mehrdad},
   title = {Differential calculus with imprecise input and its logical framework},
   booktitle = {Foundations of software science and computation structures},
   series = {Lecture Notes in Comput. Sci.},
   volume = {10803},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {459--475},
}

@article{EM98,
   author = {Esbelin, Henri-Alex and More, Malika},
   title = {Rudimentary relations and primitive recursion: a toolbox},
   journal = {Theoretical Computer Science},
   volume = {193},
   number = {1-2},
   year = {1998},
   pages = {129--148},
   doi = {10.1016/S0304-3975(97)00002-9},
}

@article{EN02,
   author = {Etesi, G{\'a}bor and N{\'e}meti, Istv{\'a}n},
   title = {Non-{T}uring computations via {M}alament-{H}ogarth space-times},
   journal = {International Journal of Theoretical Physics},
   volume = {41},
   number = {2},
   year = {2002},
   pages = {341--370},
}

@article{EO10,
   author = {Escard{\'o}, Mart{\'{\i}}n and Oliva, Paulo},
   title = {Selection functions, bar recursion and backward induction},
   journal = {Math. Structures Comput. Sci.},
   volume = {20},
   number = {2},
   year = {2010},
   pages = {127--168},
   doi = {10.1017/S0960129509990351},
}

@inproceedings{EO10a,
   author = {Escard{\'o}, Mart{\'{\i}}n and Oliva, Paulo},
   title = {Computational interpretations of analysis via products of selection functions},
   booktitle = {Programs, proofs, processes},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6158},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {141--150},
   doi = {10.1007/978-3-642-13962-8_16},
}

@inproceedings{EP03,
   author = {Edalat, Abbas and Pattinson, Dirk},
   title = {Initial value problems in domain theory},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {211--227},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{EP07,
   author = {Edalat, Abbas and Pattinson, Dirk},
   title = {A domain-theoretic account of {P}icard's theorem},
   journal = {LMS Journal of Computation and Mathematics},
   volume = {10},
   year = {2007},
   pages = {83--118},
}

@article{EP97,
   author = {Edalat, Abbas and Potts, Peter John},
   title = {A new representation for exact real numbers},
   journal = {Electronical Notes in Theoretical Computer Science},
   volume = {6},
   year = {1997},
   pages = {14 pp.},
   note = {Mathematical foundations of programming semantics (Pittsburgh, PA, 1997)},
}

@proceedings{EPSW14,
   title = {Special issue: {S}elected papers of the {N}inth {I}nternational {C}onference on {C}omputability and {C}omplexity in {A}nalysis ({CCA}) 2012},
   editor = {Escard{\'o}, Mart{\'\i}n and Pauly, Arno and Schr{\"o}der, Matthias and Weihrauch, Klaus},
   series = {Logical Methods in Computer Science},
   number = {The Ninth International Conference on Computability and Complexity in Analysis (CCA) 2012},
   year = {2013/14},
   note = {Held in Cambridge, June 24--27, 2012},
}

@inproceedings{ER98,
   author = {Edalat, Abbas and Rico, Fabien},
   title = {Root Finding in Exact Real Arithmetic Using Linear Fractional Transformations},
   editor = {Chesneaux, J.-M. and J\'{e}z\'{e}quel, F. and Lamotte, J.-L. and Vignes, J.},
   booktitle = {Third Real Numbers and Computers Conference},
   publisher = {Universit\'{e} Pierre et Marie Curie, Paris},
   year = {1998},
   pages = {27--43},
   note = {Paris, France, April 27--29, 1998},
}

@article{Ers72,
   author = {Er{\v{s}}ov, Ju. L.},
   title = {Computable functionals of finite type},
   journal = {Algebra and Logic},
   volume = {11},
   number = {4},
   year = {1972},
   pages = {203--242},
}

@article{ES02,
   author = {Escard\'{o}, Mart\'{\i}n H\"otzel and Streicher, Thomas},
   title = {In Domain Realizability Not All Functionals on $C[-1,1]$ are Continuous},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {41--44},
}

@article{ES99,
   author = {Edalat, Abbas and S{\"u}nderhauf, Philipp},
   title = {A domain-theoretic approach to computability on the real line},
   journal = {Theoretical Computer Science},
   volume = {210},
   year = {1999},
   pages = {73--98},
}

@article{ES99b,
   author = {Escard\'{o}, Mart\'{\i}n H\"otzel and Streicher, Thomas},
   title = {Induction and recursion on the partial real line with applications to Real {PCF}},
   journal = {Theoretical Computer Science},
   volume = {210},
   year = {1999},
   pages = {121--157},
}

@article{ES99c,
   author = {Edalat, Abbas and S{\"u}nderhauf, Philipp},
   title = {Computable {B}anach spaces via domain theory},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {169--184},
}

@incollection{Esb10,
   author = {Esbelin, Henri-Alex},
   title = {Rudimentarity of two famous real numbers},
   booktitle = {Studies in weak arithmetics},
   series = {CSLI Lecture Notes},
   volume = {196},
   publisher = {CSLI Publ.},
   address = {Stanford, CA},
   year = {2010},
   pages = {121--126},
}

@article{Esb94,
   author = {Esbelin, Henri Alex},
   title = {Une classe minimale de fonctions r\'ecursives contenant les relations rudimentaires},
   journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
   volume = {319},
   number = {5},
   year = {1994},
   pages = {505--508},
}

@article{Esc04,
   author = {Escard{\'o}, Mart{\'{\i}}n},
   title = {Synthetic Topology of Data Types and Classical Spaces},
   journal = {Electronic Notes in Theoretical Computer Science},
   volume = {87},
   year = {2004},
   pages = {21--165},
   doi = {10.1016/j.entcs.2004.09.017},
}

@article{Esc08,
   author = {Escard{\'o}, Mart{\'{\i}}n},
   title = {Exhaustible sets in higher-type computation},
   journal = {Logical Methods in Computer Science},
   volume = {4},
   number = {3},
   year = {2008},
   pages = {3:3, 37},
   doi = {10.2168/LMCS-4(3:3)2008},
}

@inproceedings{Esc09,
   author = {Escard{\'o}, Mart{\'{\i}}n},
   title = {Computability of continuous solutions of higher-type equations},
   booktitle = {Mathematical theory and computational practice},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {188--197},
   doi = {10.1007/978-3-642-03073-4_20},
}

@article{Esc13,
   author = {Escard{\'o}, Mart{\'{\i}}n},
   title = {Algorithmic solution of higher type equations},
   journal = {J. Logic Comput.},
   volume = {23},
   number = {4},
   year = {2013},
   pages = {839--854},
   doi = {10.1093/logcom/exr048},
}

@article{Esc15,
   author = {Escard{\'o}, Mart{\'{\i}}n},
   title = {Constructive decidability of classical continuity},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {10},
   pages = {1578--1589},
   doi = {10.1017/S096012951300042X},
}

@article{Esc96,
   author = {Escard\'{o}, Mart\'{\i}n H\"otzel},
   title = {{PCF} extended with real numbers},
   journal = {Theoretical Computer Science},
   volume = {162},
   year = {1996},
   pages = {79--115},
}

@phdthesis{Esc97,
   author = {Escard\'{o}, Mart\'{\i}n H\"otzel},
   title = {{PCF} extended with real numbers: a domain-theoretic approach to higher-order exact real number computation},
   school = {Imperial College, University of London},
   address = {London, Great Britain},
   year = {1997},
}

@inproceedings{Esp98,
   author = {Esbelin, Henri-Alex},
   title = {Rudimentary computable reals},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {21--30},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{Far07,
   author = {Farjudian, Amin},
   title = {{SHRAD}: A Language for Sequential Real Number Computation},
   journal = {Theory of Computing Systems},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {49--105},
}

@inproceedings{Far11,
   author = {Farjudian, Amin},
   title = {On the {K}olmogorov complexity of continuous real functions},
   booktitle = {Models of computation in context},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6735},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {81--91},
   doi = {10.1007/978-3-642-21875-0_9},
}

@inproceedings{Far12,
   author = {Farjudian, Amin},
   title = {Polynomial-time solution of initial value problems using polynomial enclosures},
   editor = {Ong, L. and de Queiroz, R.},
   booktitle = {Logic, Language, Information and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {7456},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {232--245},
}

@article{Far13,
   author = {Farjudian, Amin},
   title = {On the {K}olmogorov complexity of continuous real functions},
   journal = {Ann. Pure Appl. Logic},
   volume = {164},
   number = {5},
   year = {2013},
   pages = {566--576},
   doi = {10.1016/j.apal.2012.11.003},
}

@inproceedings{Far19,
   author = {Farjudian, Amin},
   title = {Computable Analysis of Linear Rearrangement Optimization},
   editor = {Gopal, T.V. and Watada, Junzo},
   booktitle = {Theory and Applications of Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {11436},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {172--187},
   note = {15th Annual Conference, TAMC 2019, Kitakyushu, Japan, April 13--16, 2019},
   doi = {10.1007/978-3-030-14812-6_11},
}

@article{Fef64,
   author = {Feferman, S.},
   title = {Systems of predicative analysis},
   journal = {The Journal of Symbolic Logic},
   volume = {29},
   year = {1964},
   pages = {1--30},
}

@inproceedings{Fef77,
   author = {Feferman, S.},
   title = {Theories of finite type related to mathematical practice},
   editor = {Barwise, J.},
   booktitle = {Handbook of {M}athematical {L}ogic},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {90},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1977},
   pages = {913--971},
}

@inproceedings{Fef79,
   author = {Feferman, S.},
   title = {Constructive Theories of Functions and Classes},
   editor = {Boffa, D., van Dalen and McAloon, K.},
   booktitle = {Proceedings Logic Colloquium '78},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {97},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1979},
   pages = {159--224},
   note = {Mons, Aug. 24--Sept. 1., 1978},
}

@inproceedings{Fef84,
   author = {Feferman, S.},
   title = {Between constructive and classical mathematics},
   editor = {Richter, M.M. and B\"orger, E. and Oberschelp, W. and Schinzel, B. and Thomas, W.},
   booktitle = {Computation and Proof Theory},
   series = {Lecture Notes in Mathematics},
   volume = {1104},
   year = {1984},
   pages = {143--162},
   note = {(Proc. Logic Colloq., Aachen, July 14--23, 1983, Part II)},
}

@article{Fer17,
   author = {F{\'e}r{\'e}e, Hugo},
   title = {Game semantics approach to higher-order complexity},
   journal = {Journal of Computer and System Sciences},
   volume = {87},
   year = {2017},
   pages = {1--15},
}

@inproceedings{Fer21,
   author = {Ferreira, Fernando},
   title = {On False {H}eine/{B}orel Compactness Principles in Proof Mining},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {199--203},
   doi = {10.1007/978-3-030-80049-9_18},
}

@article{Fer21a,
   author = {Ferreira, Fernando},
   title = {The abstract type of the real numbers},
   journal = {Archive for Mathematical Logic},
   volume = {60},
   number = {7--8},
   year = {2021},
   pages = {1005--1017},
   doi = {10.1007/s00153-021-00772-9},
}

@article{FF06,
   author = {Ferreira, Fernando and Ferreira, Gilda},
   title = {Counting as integration in feasible analysis},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {3},
   year = {2006},
   pages = {315--320},
}

@article{FF08,
   author = {Ferreira, Fernando and Ferreira, Gilda},
   title = {The {R}iemann Integral in Weak Systems of Analysis},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {908--937},
}

@article{FGH14,
   author = {F{\'e}r{\'e}e, Hugo and Gomaa, Walid and Hoyrup, Mathieu},
   title = {Analytical properties of resource-bounded real functionals},
   journal = {Journal of Complexity},
   volume = {30},
   number = {5},
   year = {2014},
   pages = {647--671},
   doi = {10.1016/j.jco.2014.02.008},
}

@article{FGMN12,
   author = {Franklin, Johanna N. Y. and Greenberg, Noam and Miller, Joseph S. and Ng, Keng Meng},
   title = {Martin-{L}\"of random points satisfy {B}irkhoff's ergodic theorem for effectively closed sets},
   journal = {Proceedings of the American Mathematical Society},
   volume = {140},
   number = {10},
   year = {2012},
   pages = {3623--3628},
}

@incollection{FH79,
   author = {Fourman, Michael and Hyland, John M. E.},
   title = {Sheaf models for analysis},
   editor = {Michael Fourman and Christopher Mulvey and Dana Scott},
   booktitle = {Applications of Sheaves},
   series = {Lecture Notes in Mathematics},
   volume = {753},
   publisher = {Springer},
   address = {Berlin/Heidelberg},
   year = {1979},
   pages = {280--301},
}

@incollection{FHG13,
   author = {F{\'e}r{\'e}e, Hugo and Hoyrup, Mathieu and Gomaa, Walid},
   title = {On the query complexity of real functionals},
   booktitle = {2013 28th {A}nnual {ACM}/{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience ({LICS} 2013)},
   publisher = {IEEE Computer Soc., Los Alamitos, CA},
   year = {2013},
   pages = {103--112},
}

@inproceedings{FHHP10,
   author = {F{\'e}r{\'e}e, Hugo and Hainry, Emmanuel and Hoyrup, Mathieu and P{\'e}choux, Romain},
   title = {Interpretation of stream programs: characterizing type 2 polynomial time complexity},
   booktitle = {Algorithms and computation. {P}art {I}},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6506},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {291--303},
   doi = {10.1007/978-3-642-17517-6_27},
}

@article{FHHP15,
   author = {F{\'e}r{\'e}e, Hugo and Hainry, Emmanuel and Hoyrup, Mathieu and P{\'e}choux, Romain},
   title = {Characterizing polynomial time complexity of stream programs using interpretations},
   journal = {Theoretical Computer Science},
   volume = {585},
   year = {2015},
   pages = {41--54},
}

@article{FHK14,
   author = {Fujiwara, Makoto and Higuchi, Kojiro and Kihara, Takayuki},
   title = {On the strength of marriage theorems and uniformity},
   journal = {Mathematical Logic Quarterly},
   volume = {60},
   number = {3},
   year = {2014},
   pages = {136--153},
   doi = {10.1002/malq.201300021},
}

@article{FHM+16,
   author = {Frittaion, Emanuele and Hendtlass, Matthew and Marcone, Alberto and Shafer, Paul and Van der Meeren, Jeroen},
   title = {Reverse mathematics, well-quasi-orders, and {N}oetherian spaces},
   journal = {Archive for Mathematical Logic},
   volume = {55},
   number = {3-4},
   year = {2016},
   pages = {431--459},
   doi = {10.1007/s00153-015-0473-4},
}

@article{FIN15,
   author = {Fujiwara, Makoto and Ishihara, Hajime and Nemoto, Takako},
   title = {Some principles weaker than {M}arkov's principle},
   journal = {Archive for Mathematical Logic},
   volume = {54},
   number = {7-8},
   year = {2015},
   pages = {861--870},
}

@article{FK13,
   author = {Freer, Cameron E. and Kjos-Hanssen, Bj{\o}rn},
   title = {Randomness extraction and asymptotic {H}amming distance},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   year = {2013},
   pages = {3:27, 14},
   doi = {10.2168/LMCS-9(3:27)2013},
}

@article{FK21,
   author = {Fujiwara, Makoto and Kawai, Tatsuji},
   title = {Characterising {B}rouwer’s continuity by bar recursion on moduli of continuity},
   journal = {Archive for Mathematical Logic},
   volume = {60},
   number = {1},
   year = {2021},
   pages = {241--263},
   doi = {10.1007/s00153-020-00740-9},
}

@article{FKNS14,
   author = {Freer, Cameron and Kjos-Hanssen, Bj{\o}rn and Nies, Andr{\'e} and Stephan, Frank},
   title = {Algorithmic aspects of {L}ipschitz functions},
   journal = {Computability},
   volume = {3},
   number = {1},
   year = {2014},
   pages = {45--61},
   doi = {10.3233/COM-14025},
}

@article{FM20,
   author = {Franklin, Johanna N. Y. and McNicholl, Timothy H.},
   title = {Degrees of and lowness for isometric isomorphism},
   journal = {Journal of Logic and Analysis},
   volume = {12},
   year = {2020},
   pages = {Paper No. 6, 23},
   doi = {10.4115/jla.2020.12.6},
}

@article{FM21,
   author = {Fiori-Carones, Marta and Marcone, Alberto},
   title = {To reorient is easier than to orient: an on-line algorithm for reorientation of graphs},
   journal = {Computability},
   volume = {10},
   number = {3},
   year = {2021},
   pages = {215--233},
   doi = {10.3233/com-190285},
}

@article{FMD14,
   author = {Fouch{\'e}, Willem L. and Mukeru, Safari and Davie, George},
   title = {Fourier spectra of measures associated with algorithmically random {B}rownian motion},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   number = {3},
   year = {2014},
   pages = {3:20, 24},
   doi = {10.2168/LMCS-10(3:20)2014},
}

@article{FMR19,
   author = {Franklin, Johanna N. Y. and McNicholl, Timothy H. and Rute, Jason},
   title = {Algorithmic Randomness and Fourier Analysis},
   journal = {Theory of Computing Systems},
   volume = {63},
   number = {3},
   year = {2019},
   month = {Apr},
   pages = {567--586},
   doi = {10.1007/s00224-018-9888-8},
}

@article{FNT14,
   author = {Fritz, Tobias and Netzer, Tim and Thom, Andreas},
   title = {Can you compute the operator norm?},
   journal = {Proceedings of the American Mathematical Society},
   volume = {142},
   number = {12},
   year = {2014},
   month = {December},
   pages = {4265--4276},
   doi = {10.1090/S0002-9939-2014-12170-8},
}

@article{FO07,
   author = {Ferreira, Fernando and Oliva, Paulo},
   title = {Bounded functional interpretation and feasible analysis},
   journal = {Annals of Pure and Applied Logic},
   volume = {145},
   number = {2},
   year = {2007},
   pages = {115--129},
}

@article{For20,
   author = {Foreman, Matthew},
   title = {G{\"o}del Diffeomorphisms},
   journal = {The Bulletin of Symbolic Logic},
   volume = {26},
   number = {3--4},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {219--223},
   doi = {10.1017/bsl.2020.36},
}

@article{Fou00,
   author = {Fouch{\'{e}}, Willem},
   title = {Arithmetical Representation of {B}rownian Motion {I}},
   journal = {The Journal of Symbolic Logic},
   volume = {65},
   year = {2000},
   pages = {421--442},
}

@article{Fou00a,
   author = {Fouch{\'{e}}, Willem},
   title = {The Descriptive Complexity of {B}rownian Motion},
   journal = {Advances in Mathematics},
   volume = {155},
   year = {2000},
   pages = {317--343},
}

@article{Fou08,
   author = {Fouch{\'{e}}, Willem},
   title = {Dynamics of a generic {B}rownian motion: Recursive aspects},
   journal = {Theoretical Computer Science},
   volume = {394},
   year = {2008},
   pages = {175--186},
}

@inproceedings{Fou08a,
   author = {Fouch{\'{e}}, Willem},
   title = {An Algorithmic Construction of Quantum Circuits of High Descriptive Complexity},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {61--69},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@incollection{Fou08b,
   author = {Fouch{\'e}, Willem L.},
   title = {Subrecursive complexity of identifying the {R}amsey structure of posets},
   booktitle = {Logic and theory of algorithms},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5028},
   publisher = {Springer, Berlin},
   year = {2008},
   pages = {196--205},
   doi = {10.1007/978-3-540-69407-6_23},
}

@incollection{Fou09,
   author = {Fouch{\'e}, Willem L.},
   title = {Fractals generated by algorithmically random {B}rownian motion},
   editor = {Klaus Ambos-Spies and Benedikt L{\"o}we and Wolfgang Merkle},
   booktitle = {Mathematical Theory and Computational Practice},
   series = {Lecture Notes in Computer Science},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {208--217},
   note = {5th Conference on Computability in Europe, CiE 2009, Heidelberg, Germany, July 19-24, 2009. Proceedings},
   doi = {10.1007/978-3-642-03073-4_22},
}

@incollection{Fou12,
   author = {Fouch{\'e}, Willem L.},
   title = {Algorithmic randomness and {R}amsey properties of countable homogeneous structures},
   booktitle = {Logic, language, information and computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7456},
   publisher = {Springer, Heidelberg},
   year = {2012},
   pages = {246--256},
   doi = {10.1007/978-3-642-32621-9_18},
}

@article{Fou13,
   author = {Fouch{\'e}, Willem L.},
   title = {Martin-{L}\"of randomness, invariant measures and countable homogeneous structures},
   journal = {Theory Comput. Syst.},
   volume = {52},
   number = {1},
   year = {2013},
   pages = {65--79},
   doi = {10.1007/s00224-012-9419-y},
}

@incollection{Fou14,
   author = {Fouch{\'e}, Willem L.},
   title = {{D}iophantine properties of {B}rownian motion: recursive aspects},
   editor = {Brattka, Vasco and Diener, Hannes and Spreen, Dieter},
   booktitle = {Logic, Computation, Hierarchies},
   series = {Ontos Mathematical Logic},
   volume = {4},
   publisher = {De Gruyter},
   address = {Boston},
   year = {2014},
   pages = {139--156},
}

@article{Fou15,
   author = {Fouch{\'e}, Willem L.},
   title = {Kolmogorov complexity and the geometry of {B}rownian motion},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   number = {7},
   year = {2015},
   pages = {1590--1606},
   doi = {10.1017/S0960129513000273},
}

@article{Fox23,
   author = {Fox, Alec},
   title = {Computable Presentations of $C^*$--algebras},
   journal = {Journal of Symbolic Logic},
   volume = {electronically published},
   year = {2023},
   pages = {1--26},
   doi = {10.1017/jsl.2023.23},
}

@incollection{FP20,
   author = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   title = {Key developments in algorithmic randomness},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {1--39},
   doi = {10.1017/9781108781718.002},
}

@book{FP20a,
   title = {Algorithmic Randomness: Progress and Prospects},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   doi = {10.1017/9781108781718.001},
}

@inproceedings{FR09,
   author = {Freer, Cameron E. and Roy, Daniel M.},
   title = {Computable exchangeable sequences have computable de {F}inetti measures},
   editor = {Klaus Ambos-Spies and Benedikt L{\"o}we and Wolfgang Merkle},
   booktitle = {Mathematical Theory and Computational Practice},
   series = {Lecture Notes in Computer Science},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {218--231},
   doi = {10.1007/978-3-642-03073-4_23},
}

@article{FR12,
   author = {Freer, Cameron E. and Roy, Daniel M.},
   title = {Computable de {F}inetti measures},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {5},
   year = {2012},
   pages = {530--546},
   doi = {10.1016/j.apal.2011.06.011},
}

@inproceedings{Fra07,
   author = {Franklin, Johanna N.Y.},
   title = {Schnorr trivial reals: a construction},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {79--93},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Fra08,
   author = {Franklin, Johanna N.Y.},
   title = {{S}chnorr trivial reals: a construction},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {665--678},
}

@incollection{Fra20,
   author = {Franklin, Johanna N.Y.},
   title = {Relativization in randomness},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {134--174},
   doi = {10.1017/9781108781718.006},
}

@inproceedings{Fra21,
   author = {Franklin, Johanna N. Y.},
   title = {A {C}hurch-{T}uring Thesis for Randomness?},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {217--226},
   doi = {10.1007/978-3-030-80049-9_20},
}

@article{Fre83,
   author = {Freund, Rudolf},
   title = {Real Functions and Numbers Defined by {T}uring Machines},
   journal = {Theoretical Computer Science},
   volume = {23},
   year = {1983},
   pages = {287--304},
}

@inproceedings{Fri74,
   author = {Friedman, Harvey},
   title = {Some systems of second order arithmetic and their use},
   booktitle = {Proceedings of the International Congress of Mathematicians, Vancouver},
   volume = {1},
   year = {1974},
   pages = {235--242},
}

@article{Fri77,
   author = {Friedman, H.M.},
   title = {Set theoretic foundations for constructive analysis},
   journal = {Ann. of Math.},
   series = {2},
   volume = {105},
   year = {1977},
   pages = {1--28},
}

@article{Fri84,
   author = {Friedman, Harvey},
   title = {The computational complexity of maximization and integration},
   journal = {Advances in Mathematics},
   volume = {53},
   year = {1984},
   pages = {80--98},
   doi = {10.1016/0001-8708(84)90019-7},
}

@inproceedings{FS95,
   author = {Freund, Rudolf and Staiger, Ludwig},
   title = {Numbers defined via {T}uring machines},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {119--124},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@article{FS96,
   author = {Freund, Rudolf and Staiger, Ludwig},
   title = {Numbers defined by {T}uring machines},
   journal = {Collegium Logicum, Annals of the Kurt-G\"{o}del-Society},
   volume = {2},
   year = {1996},
   pages = {118--137},
   doi = {10.1007/978-3-7091-9461-4_8},
}

@article{FSS22,
   author = {Fiori-Carones, Marta and Shafer, Paul and Sold{\`a}, Giovanni},
   title = {An inside/outside {R}amsey theorem and recursion theory},
   journal = {Transactions of the American Mathematical Society},
   volume = {375},
   number = {3},
   year = {2022},
   pages = {1977--2024},
   doi = {10.1090/tran/8561},
}

@article{FSW06,
   author = {Figueira, Santiago and Stephan, Frank and Wu, Guohua},
   title = {Randomness and universal machines},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {738--751},
}

@article{FT14,
   author = {Franklin, Johanna N. Y. and Towsner, Henry},
   title = {Randomness and non-ergodic systems},
   journal = {Moscow Mathematical Journal},
   volume = {14},
   number = {4},
   year = {2014},
   pages = {711--744, 827},
}

@phdthesis{Fuj15,
   author = {Fujiwara, Makoto},
   title = {Intuitionistic and uniform provability in reverse mathematics},
   school = {Tohoku University},
   address = {Sendai, Japan},
   year = {2015},
}

@inproceedings{Fuj20,
   author = {Fujiwara, Makoto},
   title = {Parallelizations in {W}eihrauch Reducibility and Constructive Reverse Mathematics},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {38--49},
   doi = {10.1007/978-3-030-51466-2_4},
}

@article{Fuj21,
   author = {Fujiwara, Makoto},
   title = {Weihrauch and constructive reducibility between existence statements},
   journal = {Computability},
   volume = {10},
   number = {1},
   year = {2021},
   doi = {10.3233/COM-190278},
}

@article{FZ15,
   author = {Fu, Ming Quan and Zucker, Jeffery},
   title = {Models of computation for partial functions on the reals},
   journal = {Journal of Logical and Algebraic Methods in Programming},
   volume = {84},
   number = {2},
   year = {2015},
   pages = {218--237},
   doi = {10.1016/j.jlamp.2014.11.001},
}

@incollection{FZ16,
   author = {F{\'e}r{\'e}e, Hugo and Ziegler, Martin},
   title = {On the computational complexity of positive linear functionals on {$C[0;1]$}},
   editor = {Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K.},
   booktitle = {Mathematical Aspects of Computer and Information Sciences},
   series = {Lecture Notes in Computer Science},
   volume = {9582},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {489--504},
   note = {6th International Conference, {MACIS} 2015, Berlin, Germany, November 11--13, 2015, Revised Selected Papers},
}

@article{Gac05,
   author = {G{\'{a}}cs, Peter},
   title = {Uniform test of algorithmic randomness over a general space},
   journal = {Theoretical Computer Science},
   volume = {341},
   year = {2005},
   pages = {91--137},
}

@inproceedings{GAC12,
   author = {Gao, Sicun and Avigad, Jeremy and Clarke, Edmund M.},
   title = {Delta-decidability over the reals},
   booktitle = {Proceedings of the 2012 27th {A}nnual {ACM}/{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience},
   publisher = {IEEE Computer Soc., Los Alamitos, CA},
   year = {2012},
   pages = {305--314},
   doi = {10.1109/LICS.2012.41},
}

@inproceedings{GAC12a,
   author = {Gao, Sicun and Avigad, Jeremy and Clarke, Edmund M.},
   title = {{$\delta$}-complete decision procedures for satisfiability over the reals},
   booktitle = {Automated reasoning},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7364},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {286--300},
}

@book{Gai64,
   author = {Gaier, D.},
   title = {Konstruktive {M}ethoden der konformen {A}bbildung, {T}racts in {N}atural {P}hilosophy},
   volume = {3},
   publisher = {Springer},
   address = {Berlin},
   year = {1964},
}

@article{Gal00,
   author = {Galatolo, Stefano},
   title = {Orbit computability by computable structures},
   journal = {Nonlinearity},
   volume = {13},
   year = {2000},
   pages = {1531--1546},
}

@article{Gal03,
   author = {Galatolo, Stefano},
   title = {Complexity, initial condition sensitivity, dimension and weak chaos in dynamical systems},
   journal = {Nonlinearity},
   volume = {16},
   number = {4},
   year = {2003},
   pages = {1219--1238},
}

@article{Gal03a,
   author = {Galatolo, Stefano},
   title = {Global and local complexity in weakly chaotic dynamical systems},
   journal = {Discrete and Continuous Dynamical Systems},
   volume = {9},
   number = {6},
   year = {2003},
   pages = {1607--1624},
}

@inproceedings{Gal15,
   author = {Galicki, Alex},
   title = {Randomness and Differentiability of Convex Functions},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {196--205},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_20},
}

@inproceedings{Gal16,
   author = {Galeotti, Lorenzo},
   title = {A Candidate for the Generalised Real Line},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {271--281},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_28},
}

@incollection{Gal17,
   author = {Galicki, Alex},
   title = {Polynomial-time {R}ademacher theorem, porosity and randomness},
   editor = {Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl, Anca},
   booktitle = {44th {I}nternational {C}olloquium on {A}utomata, {L}anguages, and {P}rogramming},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {80},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2017},
   pages = {Art. No. 30, 13},
   doi = {10.4230/LIPIcs.ICALP.2017.30},
}

@phdthesis{Gal18,
   author = {Galicki, Aleksander},
   title = {Computable Randomness and Differentiability in $R^n$},
   school = {Department of Computer Science, University of Auckland},
   year = {2018},
}

@article{Gal99,
   author = {Galatolo, Stefano},
   title = {Pointwise information entropy for metric spaces},
   journal = {Nonlinearity},
   volume = {12},
   year = {1999},
   pages = {1289--1298},
}

@incollection{GB93,
   author = {Garzon, Max and Botelho, Fernanda},
   title = {Real computation with cellular automata},
   booktitle = {Cellular automata and cooperative systems ({L}es {H}ouches, 1992)},
   series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
   volume = {396},
   publisher = {Kluwer Acad. Publ., Dordrecht},
   year = {1993},
   pages = {191--202},
}

@inproceedings{GBC08,
   author = {Gra\c{c}a, Daniel S. and Buescu, Jorge and Campagnolo, Manuel L.},
   title = {Boundedness of the domain of definition is undecidable for polynomial {ODEs}},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {49--57},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{GBC09,
   author = {Gra{\c{c}}a, Daniel S. and Buescu, Jorge and Campagnolo, Manuel L.},
   title = {Computational bounds on polynomial differential equations},
   journal = {Applied Mathematics and Computation},
   volume = {215},
   number = {4},
   year = {2009},
   pages = {1375--1385},
   doi = {10.1016/j.amc.2009.04.055},
}

@article{GC03,
   author = {Gra{\c{c}}a, Daniel Silva and Costa, Jos\'{e} F\'{e}lix},
   title = {Analog computers and recursive functions over the reals},
   journal = {Journal of Complexity},
   volume = {19},
   number = {5},
   year = {2003},
   pages = {644--664},
}

@inproceedings{GCB05,
   author = {Gra{\c{c}}a, Daniel Silva and Campagnolo, Manuel L. and Buescu, Jorge},
   title = {Robust Simulations of {T}uring Machines with Analytic Maps and Flows},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {169--179},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@article{GCB08,
   author = {Gra{\c{c}}a, Daniel S. and Campagnolo, Manuel L. and Buescu, Jorge},
   title = {Computability with polynomial differential equations},
   journal = {Advances in Applied Mathematics},
   volume = {40},
   number = {3},
   year = {2008},
   pages = {330--349},
   doi = {10.1016/j.aam.2007.02.003},
}

@phdthesis{Ge93,
   author = {Ge, Xiaolin},
   title = {Some Algorithms in {E}uclidean Space and Group Representations},
   school = {University of Minnesota},
   address = {Minneapolis},
   year = {1993},
   month = may,
}

@article{Gel69,
   author = {Gelfond, Michael G.},
   title = {Constructive pseudofunctions ({R}ussian)},
   journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
   volume = {16},
   year = {1969},
   pages = {20--27},
}

@article{Gel72,
   author = {Gelfond, Michael G.},
   title = {The relation between the classical and constructive versions of the construction of mathematical analysis ({R}ussian)},
   journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
   volume = {32},
   year = {1972},
   pages = {5--11},
}

@inproceedings{Gel81,
   author = {Gelfond, Michael G.},
   title = {A class of theorems with valid constructive counterparts},
   editor = {Richman, Fred},
   booktitle = {Constructive mathematics},
   series = {Lecture Notes in Mathematics},
   volume = {873},
   publisher = {Springer},
   address = {Berlin},
   year = {1981},
   pages = {314--320},
   note = {Conference held at the New Mexico State University, Las Cruces, N.M., August 11--15, 1980},
}

@article{Geo15,
   author = {Georgiev, Ivan},
   title = {Continued fractions of primitive recursive real numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {61},
   number = {4-5},
   year = {2015},
   pages = {288--306},
   doi = {10.1002/malq.201400013},
}

@article{Geo20,
   author = {Georgiev, Ivan},
   title = {On subrecursive complexity of integration},
   journal = {Annals of Pure and Applied Logic},
   volume = {171},
   number = {4},
   year = {2020},
   pages = {102777},
   doi = {10.1016/j.apal.2020.102777},
}

@inproceedings{Geo21,
   author = {Georgiev, Ivan},
   title = {Dedekind Cuts and Long Strings of Zeros in Base Expansions},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {248--259},
   doi = {10.1007/978-3-030-80049-9_23},
}

@inproceedings{Geo23,
   author = {Georgiev, Ivan},
   title = {Subrecursive Graphs of Representations of Irrational Numbers},
   editor = {Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin},
   booktitle = {Unity of Logic and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {13967},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {154--165},
   note = {19th Conference on Computability in Europe},
   doi = {10.1007/978-3-031-36978-0_13},
}

@phdthesis{Ger06,
   author = {Gerhardy, Philipp},
   title = {Applications of Proof Interpretations},
   school = {Department of Computer Science, University of Aarhus, Denmark},
   address = {Aarhus},
   year = {2006},
}

@article{Ger06a,
   author = {Gerhardy, Philipp},
   title = {A quantitative version of {K}irk's fixed point theorem for asymptotic contractions},
   journal = {J. Math. Anal. Appl.},
   volume = {316},
   year = {2006},
   pages = {339--345},
}

@article{Ger08,
   author = {Gerhardy, Philipp},
   title = {Proof mining in topological dynamics},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {49},
   number = {4},
   year = {2008},
   pages = {431--446},
   doi = {10.1215/00294527-2008-022},
}

@article{GG23,
   author = {Gozzi, Riccardo and Gra\c{c}a},
   title = {Characterizing time computational complexity classes with polynomial differential equations},
   journal = {Computability},
   volume = {12},
   number = {1},
   year = {2023},
   pages = {23--57},
   doi = {10.3233/COM-210384},
}

@inproceedings{GH00,
   author = {G{\"a}rtner, Tobias and Hotz, G{\"u}nter},
   title = {Recursive Analytic Functions of a Complex Variable},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {81--97},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@article{GH16,
   author = {Goldbring, Isaac and Hart, Bradd},
   title = {Computability and the {C}onnes embedding problem},
   journal = {The Bulletin of Symbolic Logic},
   volume = {22},
   number = {2},
   year = {2016},
   pages = {238--248},
   doi = {10.1017/bsl.2016.5},
}

@article{GH21,
   author = {Goldbring, Isaac and Hart, Bradd},
   title = {Operator algebras with hyperarithmetic theory},
   journal = {Journal of Logic and Computation},
   volume = {31},
   number = {2},
   year = {2021},
   pages = {612--629},
   doi = {10.1093/logcom/exaa059},
}

@article{GH60,
   author = {Goodstein, R.L. and Hooley, J.},
   title = {On recursive transcendence},
   journal = {Notre Dame J. Formal Logic},
   volume = {1},
   year = {1960},
   pages = {127--137},
}

@inproceedings{Ghe06,
   author = {Gherardi, Guido},
   title = {An Analysis of the Lemmas of {U}rysohn and {U}rysohn-{T}ietze According to Effective {B}orel Measurability},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {199--208},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@article{Ghe06a,
   author = {Gherardi, Guido},
   title = {Effective {B}orel degrees of some topological functions},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {6},
   year = {2006},
   pages = {625--642},
}

@phdthesis{Ghe06b,
   author = {Gherardi, Guido},
   title = {Some Results in Computable Analysis and Effective {B}orel Measurability},
   school = {University of Siena, Department of Mathematics and Computer Science},
   address = {Siena},
   year = {2006},
}

@inproceedings{Ghe07,
   author = {Gherardi, Guido},
   title = {Internal Computability},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {348--357},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@incollection{Ghe08a,
   author = {Gherardi, Guido},
   title = {Computability and incomputability of differential equations},
   editor = {Corsi, Giovanna and Lupacchini, Rossella},
   booktitle = {Deduction, Computation, Experiment},
   publisher = {Springer Verlag},
   address = {Milano},
   year = {2008},
   pages = {223--242},
   doi = {10.1007/978-88-470-0784-0_12},
}

@article{Ghe11,
   author = {Gherardi, Guido},
   title = {Alan {T}uring and the foundations of computable analysis},
   journal = {Bull. Symbolic Logic},
   volume = {17},
   number = {3},
   year = {2011},
   pages = {394--430},
   doi = {10.2178/bsl/1309952319},
}

@article{GHK+20,
   author = {Gorman, Alexi Block and Hieronymi, Philipp and Kaplan, Elliot and Meng, Ruoyu and Walsberg, Erik and Wang, Zihe and Xiong, Ziqin and Yang, Hongru},
   title = {Continuous Regular Functions},
   journal = {Logical Methods in Computer Science},
   volume = {16},
   number = {1},
   year = {2020},
   month = Feb,
   pages = {17:1-17:24},
   doi = {10.23638/LMCS-16(1:17)2020},
}

@article{GHM15,
   author = {Gura, Kirill and Hirst, Jeffry L. and Mummert, Carl},
   title = {On the existence of a connected component of a graph},
   journal = {Computability},
   volume = {4},
   number = {2},
   year = {2015},
   pages = {103--117},
   doi = {10.3233/COM-150039},
}

@article{GHR09,
   author = {Galatolo, Stefano and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {A constructive {B}orel-{C}antelli lemma. {C}onstructing orbits with required statistical properties},
   journal = {Theoretical Computer Science},
   volume = {410},
   year = {2009},
   pages = {2207--2222},
}

@inproceedings{GHR09a,
   author = {G{\'a}cs, Peter and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Randomness on computable probability spaces---a dynamical point of view},
   editor = {Susanne Albers and Jean-Yves Marion},
   booktitle = {S{TACS} 2009: 26th {I}nternational {S}ymposium on {T}heoretical {A}spects of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {3},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2009},
   pages = {469--480},
}

@article{GHR10,
   author = {Galatolo, Stefano and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Effective symbolic dynamics, random points, statistical behavior, complexity and entropy},
   journal = {Information and Computation},
   volume = {208},
   number = {1},
   year = {2010},
   pages = {23--41},
   doi = {10.1016/j.ic.2009.05.001},
}

@inproceedings{GHR10a,
   author = {Galatolo, Stefano and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Computing the speed of convergence of ergodic averages and pseudorandom points in computable dynamical systems},
   editor = {Zheng, Xizhong and Zhong, Ning},
   booktitle = {Proceedings Seventh International Conference on Computability and Complexity in Analysis 2010},
   series = {Electronic Proceedings in Theoretical Computer Science},
   volume = {24},
   publisher = {Open Publishing Association},
   year = {2010},
   pages = {7--18},
   note = {{Z}henjiang, China, 21-25th June 2010},
   doi = {10.4204/EPTCS.24.6},
}

@article{GHR11,
   author = {Galatolo, Stefano and Hoyrup, Mathieu and Rojas, Cristobal},
   title = {Dynamics and abstract computability: computing invariant measures},
   journal = {Discrete and Continuous Dynamical Systems. Series A},
   volume = {29},
   number = {1},
   year = {2011},
   pages = {193--212},
   doi = {10.3934/dcds.2011.29.193},
}

@article{GHR11a,
   author = {G{\'a}cs, Peter and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Randomness on computable probability spaces---a dynamical point of view},
   journal = {Theory of Computing Systems},
   volume = {48},
   number = {3},
   year = {2011},
   pages = {465--485},
   doi = {10.1007/s00224-010-9263-x},
}

@article{GHR12,
   author = {Galatolo, Stefano and Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Statistical properties of dynamical systems---simulation and abstract computation},
   journal = {Chaos, Solitons and Fractals},
   volume = {45},
   number = {1},
   year = {2012},
   pages = {1--14},
   doi = {10.1016/j.chaos.2011.09.011},
}

@article{GHRS20,
   author = {Gangloff, Silv\'{e}re and Herrera, Alonso and Rojas, Cristobal and Sablik, Mathieu},
   title = {Computability of topological entropy: from general systems to transformations on {C}antor sets and the interval},
   journal = {Discrete and Continuous Dynamical Systems. Series A},
   volume = {40},
   number = {7},
   year = {2020},
   pages = {4259--4286},
   doi = {10.3934/dcds.2020180},
}

@phdthesis{Gia93,
   author = {Di Gianantonio, Pietro},
   title = {A Functional Approach to Computability on Real Numbers},
   school = {Universit\`{a} di Pisa-Genova-Udine},
   address = {Udine},
   year = {1993},
   month = jun,
}

@article{Gia96,
   author = {Di Gianantonio, Pietro},
   title = {Real number computation and Domain Theory},
   journal = {Information and Computation},
   volume = {127},
   year = {1996},
   pages = {11--25},
}

@article{Gia99,
   author = {Di Gianantonio, Pietro},
   title = {An abstract data type for real numbers},
   journal = {Theoretical Computer Science},
   volume = {221},
   year = {1999},
   pages = {295--326},
}

@incollection{Gil23,
   author = {Gilman, Jane},
   title = {Computability models: algebraic, topological and geometric algorithms},
   editor = {Detinko, Alla and Kapovich, Michael and Kontorovich, Alex and Sarnak, Peter and Schwartz, Richard},
   booktitle = {Computational {A}spects of {D}iscrete {S}ubgroups of {L}ie {G}roups},
   series = {Contemporary Mathematics},
   volume = {783},
   publisher = {American Mathematical Society},
   address = {Providence, RI},
   year = {2023},
   pages = {57--68},
   note = {Virtual conference, Computational Aspects of Discrete Subgroups of Lie Groups, June 14--18, 2021, Institute for Computational and Experimental Research in Mathematics ({ICERM}), Providence, Rhode Island},
   doi = {10.1090/conm/783/15733},
}

@article{GK06,
   author = {Gerhardy, Philipp and Kohlenbach, Ulrich},
   title = {Strongly uniform bounds from semi-constructive proofs},
   journal = {Annals of Pure and Applied Logic},
   volume = {141},
   number = {1--2},
   year = {2006},
   pages = {89--107},
}

@article{GK08,
   author = {Gerhardy, Philipp and Kohlenbach, Ulrich},
   title = {General logical metatheorems for functional analysis},
   journal = {Transactions of the American Mathematical Society},
   volume = {360},
   number = {5},
   year = {2008},
   pages = {2615--2660},
   doi = {10.1090/S0002-9947-07-04429-7},
}

@article{GK10,
   author = {Gaspar, Jaime and Kohlenbach, Ulrich},
   title = {On {T}ao's ``finitary'' infinite pigeonhole principle},
   journal = {J. Symbolic Logic},
   volume = {75},
   number = {1},
   year = {2010},
   pages = {355--371},
   doi = {10.2178/jsl/1264433926},
}

@article{GKN21,
   author = {Gregoriades, Vassilios and Kihara, Takayuki and Ng, Keng Meng},
   title = {Turing Degrees in {P}olish Spaces and Decomposibility of {B}orel Functions},
   journal = {Journal of Mathematical Logic},
   volume = {21},
   number = {01},
   year = {2021},
   pages = {{2050021}},
   doi = {10.1142/S021906132050021X},
}

@article{GKP17,
   author = {Gregoriades, Vassilios and Kisp{\'e}ter, Tam{\'a}s and Pauly, Arno},
   title = {A comparison of concepts from computable analysis and effective descriptive set theory},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1414--1436},
   doi = {10.1017/S0960129516000128},
}

@inproceedings{GKS18,
   author = {Georgiev, Ivan and Kristiansen, Lars and Stephan, Frank},
   title = {On General Sum Approximations of Irrational Numbers},
   editor = {Manea, Florin and Miller, Russell G. and Nowotka, Dirk},
   booktitle = {Sailing Routes in the World of Computation},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {194--203},
   doi = {10.1007/978-3-319-94418-0_20},
}

@article{GKS21,
   author = {Georgiev, Ivan and Kristiansen, Lars and Stephan, Frank},
   title = {Computable irrational numbers with representations of surprising complexity},
   journal = {Annals of Pure and Applied Logic},
   volume = {172},
   number = {2},
   year = {2021},
   pages = {102893},
   doi = {10.1016/j.apal.2020.102893},
}

@article{GKT19,
   author = {Greenberg, Noam and Kuyper, Rutger and Turetsky, Dan},
   title = {Cardinal invariants, non-lowness classes, and {W}eihrauch reducibility},
   journal = {Computability},
   volume = {8},
   number = {3, 4},
   year = {2019},
   pages = {305--346},
   doi = {10.3233/COM-180219},
}

@inproceedings{GL01,
   author = {Gowland, Paul and Lester, David},
   title = {A Survey of Exact Arithmetic Implementations},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {30--47},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{GL08,
   author = {Gu, Xiaoyang and Lutz, Jack H.},
   title = {Effective dimensions and relative frequencies},
   booktitle = {Logic and theory of algorithms},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5028},
   publisher = {Springer},
   address = {Berlin},
   year = {2008},
   pages = {231--240},
   doi = {10.1007/978-3-540-69407-6_27},
}

@article{GL11,
   author = {Gu, Xiaoyang and Lutz, Jack H.},
   title = {Effective dimensions and relative frequencies},
   journal = {Theoret. Comput. Sci.},
   volume = {412},
   number = {48},
   year = {2011},
   pages = {6696--6711},
   doi = {10.1016/j.tcs.2011.08.023},
}

@article{Gli28,
   author = {Glivenko, V.I.},
   title = {Sur la logique de {M}. {B}rouwer},
   journal = {Roy. Belg. Bull. Cl. Sci.},
   series = {5},
   volume = {14},
   year = {1928},
   pages = {225--228},
}

@article{Gli29,
   author = {Glivenko, V.I.},
   title = {Sur quelques points de la logique de {M}. {B}rouwer},
   journal = {Roy. Belg. Bull. Cl. Sci.},
   series = {5},
   volume = {15},
   year = {1929},
   pages = {183--188},
}

@inproceedings{GLM06,
   author = {Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira},
   title = {Points on computable curves},
   booktitle = {47th Annual IEEE Symposium on Foundations of Computer Science},
   publisher = {IEEE Computer Society Press},
   year = {2006},
   pages = {469--474},
   note = {Proceedings of FOCS 2006, Berkeley, CA, October 22--24, 2006},
}

@article{GLM11,
   author = {Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira},
   title = {Curves that must be retraced},
   journal = {Information and Computation},
   volume = {209},
   number = {6},
   year = {2011},
   pages = {992--1006},
   doi = {10.1016/j.ic.2011.01.004},
}

@article{GLMM14,
   author = {Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira and Moser, Philippe},
   title = {Dimension spectra of random subfractals of self-similar fractals},
   journal = {Annals of Pure and Applied Logic},
   volume = {165},
   number = {11},
   year = {2014},
   pages = {1707--1726},
   doi = {10.1016/j.apal.2014.07.001},
}

@article{GM02,
   author = {Gori, Marco and Meer, Klaus},
   title = {A Step towards a Complexity Theory for Analog Systems},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {45--58},
}

@inproceedings{GM08,
   author = {Gherardi, Guido and Marcone, Alberto},
   title = {How Incomputable is the Separable {H}ahn-{B}anach Theorem?},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {85--102},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{GM09,
   author = {Gherardi, Guido and Marcone, Alberto},
   title = {How Incomputable is the Separable {H}ahn-{B}anach Theorem?},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {50},
   number = {4},
   year = {2009},
   pages = {393--425},
   doi = {10.1215/00294527-2009-018},
}

@inproceedings{GM72,
   author = {Goodman, N.D. and Myhill, J.},
   title = {The formalization of {B}ishop's constructive mathematics},
   editor = {Lawvere, F. W.},
   booktitle = {Toposes, Algebraic Geometry and Logic},
   series = {Lecture Notes in Mathematics},
   volume = {274},
   year = {1972},
   pages = {83--96},
   note = {(Partial Report Conf. Connections between Category Theory, Algebraic Geometry and Intuitionistic Logic, Dalhousie Univ., Halifax, Nova Scotia, Jan. 16--19, 1971)},
}

@article{GMN21,
   author = {Greenberg, Noam and Miller, Joseph S. and Nies, An},
   title = {Highness properties close to {PA} completeness},
   journal = {Israel Journal of Mathematics},
   volume = {244},
   year = {2021},
   pages = {419--465},
   doi = {10.1007/s11856-021-2200-7},
}

@article{GMP19,
   author = {Gherardi, Guido and Marcone, Alberto and Pauly, Arno},
   title = {Projection operators in the {W}eihrauch lattice},
   journal = {Computability},
   volume = {8},
   number = {3, 4},
   year = {2019},
   pages = {281--304},
   doi = {10.3233/COM-180207},
}

@inproceedings{GN02,
   author = {Geuvers, Herman and Niqui, Milad},
   title = {Constructive reals in {C}oq: axioms and categoricity},
   booktitle = {Types for proofs and programs ({D}urham, 2000)},
   series = {Lecture Notes in Comput. Sci.},
   volume = {2277},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {79--95},
   doi = {10.1007/3-540-45842-5_6},
}

@article{GN14,
   author = {Gavruskin, A. and Nies, A.},
   title = {Universality for left-computably enumerable metric spaces},
   journal = {Lobachevskii Journal of Mathematics},
   volume = {35},
   number = {4},
   year = {2014},
   pages = {292--294},
   doi = {10.1134/S1995080214040179},
}

@inproceedings{GN16,
   author = {Galicki, Aleksander and Nies, Andr\'{e}},
   title = {A Computational Approach to the {B}orwein-{D}itor Theorem},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {99--104},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_10},
}

@inproceedings{GN17,
   author = {Galeotti, Lorenzo and Nobrega, Hugo},
   title = {Towards Computable Analysis on the Generalized Real Line},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {246--257},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_24},
}

@inproceedings{GN94,
   author = {Ge, Xiaolin and Nerode, Anil},
   title = {On extreme points of convex compact {T}uring located sets},
   editor = {Nerode, Anil and Matiyasevich, Yu. V.},
   booktitle = {Logical Foundations of Computer Science},
   series = {Lecture Notes in Computer Science},
   volume = {813},
   publisher = {Springer},
   address = {Berlin},
   year = {1994},
   pages = {114--128},
   note = {Third International Symposium, LFCS'94, St. Petersburg, Russia, July 11--14, 1994},
}

@article{GN96,
   author = {Ge, Xiaolin and Nerode, Anil},
   title = {Effective content of the calculus of variations {I}: semi-continuity and the chattering lemma},
   journal = {Annals of Pure and Applied Logic},
   volume = {78},
   year = {1996},
   pages = {127--146},
}

@article{GNR14,
   author = {Galatolo, Stefano and Nisoli, Isaia and Rojas, Crist{\'o}bal},
   title = {Probability, statistics and computation in dynamical systems},
   journal = {Mathematical Structures in Computer Science},
   volume = {24},
   number = {3},
   year = {2014},
   pages = {e240304, 25},
   doi = {10.1017/S0960129512000758},
}

@article{GNSW07,
   author = {Geuvers, Herman and Niqui, Milad and Spitters, Bas and Wiedijk, Freek},
   title = {Constructive analysis, types and exact real numbers},
   journal = {Mathematical Structures in Computer Science},
   volume = {17},
   year = {2007},
   pages = {3--36},
}

@phdthesis{Goh19a,
   author = {Goh, Jun Le},
   title = {Measuring the Relative Complexity of Mathematical Constructions and Theorems},
   school = {Cornell University},
   year = {2019},
   month = {August},
   doi = {10.7298/0h3c-x173},
}

@article{Goh20,
   author = {Goh, Jun Le},
   title = {Compositions of multivalued functions},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {231--247},
   doi = {10.3233/com-180235},
}

@article{Goh20a,
   author = {Goh, Jun Le},
   title = {Embeddings between well-orderings: Computability-theoretic reductions},
   journal = {Annals of Pure and Applied Logic},
   volume = {171},
   number = {6},
   year = {2020},
   pages = {102789},
   doi = {10.1016/j.apal.2020.102789},
}

@article{Gom12,
   author = {Gomaa, Walid},
   title = {A survey of recursive analysis and {M}oore's notion of real computation},
   journal = {Natural Computing},
   volume = {11},
   number = {1},
   year = {2012},
   pages = {37--49},
}

@article{Goo49,
   author = {Goodstein, R.L.},
   title = {Missing value theorems},
   journal = {Math. Gaz.},
   volume = {33},
   year = {1949},
   pages = {19--25},
}

@article{Goo50,
   author = {Goodstein, R.L.},
   title = {Mean value theorems in recursive function theory {I}. {D}ifferential mean value theorems},
   journal = {Proc. London Math. Soc.},
   volume = {52},
   year = {1950},
   pages = {81--106},
}

@article{Goo54,
   author = {Goodstein, R.L.},
   title = {The recursive irrationality of $\pi$},
   journal = {The Journal of Symbolic Logic},
   volume = {19},
   year = {1954},
   pages = {267--274},
}

@article{Goo56,
   author = {Goodstein, R.L.},
   title = {On non-constructive theorems of analysis and the decision problem},
   journal = {Math. Scand.},
   volume = {3},
   year = {1956},
   pages = {261--263},
}

@inproceedings{Goo59,
   author = {Goodstein, R.L.},
   title = {Recursive analysis},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {37--42},
   note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957},
}

@book{Goo61,
   author = {Goodstein, R.L.},
   title = {Recursive Analysis},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1961},
}

@article{Goo68,
   author = {Goodstein, R.L.},
   title = {Existence in mathematics},
   journal = {Compositio Math.},
   volume = {20},
   year = {1968},
   pages = {70--82},
}

@inproceedings{Goo69,
   author = {Goodstein, R.L.},
   title = {A constructive form for the second {G}auss proof of the fundamental theorem of algebra},
   booktitle = {Constructive Aspects of the Fundamental Theorem of Algebra},
   publisher = {Willey-Interscience},
   address = {NY},
   year = {1969},
   pages = {69--76},
   note = {Proc. Sympos. Z\"urich-R\"uschlikon, June 5--7, 1967},
}

@article{Goo70,
   author = {Goodstein, R.L.},
   title = {Polynomials with computable coefficients},
   journal = {Notre Dame J. Formal Logic},
   volume = {11},
   year = {1970},
   pages = {447--448},
}

@article{Got15,
   author = {Gottwald, Siegfried},
   title = {Dieter {K}laua---obituary},
   journal = {Fuzzy Sets and Systems},
   volume = {259},
   year = {2015},
   pages = {126--127},
   doi = {10.1016/j.fss.2014.09.017},
}

@article{Gou15,
   author = {Goubault-Larrecq, Jean},
   title = {A short proof of the {S}chr{\"o}der-{S}impson Theorem},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   number = {01},
   year = {2015},
   month = {January},
   pages = {1--5},
   doi = {10.1017/S0960129513000467},
}

@incollection{GPS21,
   author = {Ga{\ss}ner, Christine and Pauly, Arno and Steinberg, Florian},
   title = {Computing measure as a primitive operation in real number computation},
   booktitle = {29th {EACSL} {A}nnual {C}onference on {C}omputer {S}cience {L}ogic},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {183},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2021},
   pages = {Art. No. 22, 22},
}

@article{GPV21,
   author = {Goh, Jun Le and Pauly, Arno and Valenti, Manlio},
   title = {Finding descending sequences through ill-founded linear orders},
   journal = {The Journal of Symbolic Logic},
   volume = {86},
   number = {2},
   year = {2021},
   pages = {817--854},
   doi = {10.1017/jsl.2021.15},
}

@inproceedings{GR93,
   author = {Ge, Xiaolin and Richards, J. Ian},
   title = {Computability in unitary representations of compact groups},
   editor = {Crossley, John N. and Remmel, Jefferey B. and Shore, Richard A. and Sweedler, Moss E.},
   booktitle = {Logical Methods in Honor of Anil Nerode's Sixtieth Birthday},
   series = {Progress in Computer Science and Applied Logic},
   volume = {12},
   publisher = {Birkh\"auser},
   address = {Boston},
   year = {1993},
   pages = {386--421},
}

@inproceedings{Gra03,
   author = {Gra{\c{c}}a, Daniel Silva},
   title = {Computability via analog circuits},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {229--240},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Gra04,
   author = {Gra{\c{c}}a, Daniel Silva},
   title = {Some recent developments on {S}hannon's General Purpose Analog Computer},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {473--485},
}

@article{Gra16,
   author = {Gra\c{c}a, Daniel S.},
   title = {Calculability of the asymptotic behavior of dynamical systems},
   journal = {Boletim da Sociedade Portuguesa de Matem\'{a}tica},
   number = {Special issue},
   year = {2016},
   pages = {95--98},
}

@incollection{Gra84,
   author = {Grayson, Robin J.},
   title = {Heyting-Valued Semantics},
   editor = {Lolli, G. and Longo, G. and Marcja, A.},
   booktitle = {Logic Colloquium '82},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {112},
   publisher = {Elsevier},
   year = {1984},
   pages = {181--208},
}

@article{Gre11,
   author = {Gregoriades, Vassilios},
   title = {The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function},
   journal = {Logical Methods in Computer Science},
   volume = {7},
   year = {2011},
   pages = {4:2, 42},
   doi = {10.2168/LMCS-7(4:2)2011},
}

@article{Gri71,
   author = {Grilliot, Thomas J.},
   title = {On effectively discontinuous type-{$2$} objects},
   journal = {The Journal of Symbolic Logic},
   volume = {36},
   year = {1971},
   pages = {245--248},
}

@article{GRZ18,
   author = {Gra\c{c}a, Daniel and Rojas, Cristobal and Zhong, Ning},
   title = {Computing geometric {L}orenz attractors with arbitrary precision},
   journal = {Transactions of the American Mathematical Society},
   volume = {370},
   number = {4},
   year = {2018},
   pages = {2955--2970},
   doi = {10.1090/tran/7228},
}

@article{Grz51,
   author = {Grzegorczyk, Andrzej},
   title = {Undecidability of some topological theories},
   journal = {Fund. Math.},
   volume = {38},
   year = {1951},
   pages = {137--152},
}

@article{Grz55,
   author = {Grzegorczyk, Andrzej},
   title = {Computable functionals},
   journal = {Fundamenta Mathematicae},
   volume = {42},
   year = {1955},
   pages = {168--202},
}

@article{Grz55a,
   author = {Grzegorczyk, Andrzej},
   title = {On the definition of computable functionals},
   journal = {Fundamenta Mathematicae},
   volume = {42},
   year = {1955},
   pages = {232--239},
}

@article{Grz57,
   author = {Grzegorczyk, Andrzej},
   title = {On the definitions of computable real continuous functions},
   journal = {Fundamenta Mathematicae},
   volume = {44},
   year = {1957},
   pages = {61--71},
}

@inproceedings{Grz59,
   author = {Grzegorczyk, Andrzej},
   title = {Some approaches to constructive analysis},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {43--61},
   note = {Colloquium at Amsterdam, 1957},
}

@inproceedings{Grz77,
   author = {Grzegorczyk, Andrzej},
   title = {Mathematical and empirical verifiability},
   booktitle = {Twenty-five Years of logic. Methodol. in Poland},
   year = {1977},
   pages = {165--169},
}

@article{GS07,
   author = {Gambino, Nicola and Schuster, Peter},
   title = {Spatiality for formal topologies},
   journal = {Mathematical Structures in Computer Science},
   volume = {17},
   year = {2007},
   pages = {65--80},
}

@article{GS13,
   author = {Georgiev, Ivan and Skordev, Dimiter},
   title = {Conditional computability of real functions with respect to a class of operators},
   journal = {Ann. Pure Appl. Logic},
   volume = {164},
   number = {5},
   year = {2013},
   pages = {550--565},
   doi = {10.1016/j.apal.2012.11.004},
}

@article{GS83,
   author = {Gordon, Dan and Shamir, Eliahu},
   title = {Computation of recursive functionals using minimal initial segments},
   journal = {Theoretical Computer Science},
   volume = {23},
   year = {1983},
   pages = {305--315},
}

@article{GSW07,
   author = {Grubba, Tanja and Schr{\"o}der, Matthias and Weihrauch, Klaus},
   title = {Computable metrization},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {381--395},
}

@inproceedings{GW05a,
   author = {Grubba, Tanja and Weihrauch, Klaus},
   title = {A computable version of {D}ini's Theorem for topological spaces},
   editor = {Yolum, Pinar and G{\"u}ng{\"o}r, Tunga and G{\"u}rgen, Fikret and {\"O}zturan, Can},
   booktitle = {Computer and Information Sciences - ISCIS 2005},
   series = {Lecture Notes in Computer Science},
   volume = {3733},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {927--936},
   note = {20th International Symposium, ISCIS, Istanbul, Turkey, October 2005},
}

@inproceedings{GW07,
   author = {Grubba, Tanja and Weihrauch, Klaus},
   title = {On computable metrization},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {345--364},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@inproceedings{GWX08,
   author = {Grubba, Tanja and Weihrauch, Klaus and Xu, Yatao},
   title = {Effectivity on Continuous Functions in Topological Spaces},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {237--254},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@inproceedings{GZ09,
   author = {Gra{\c{c}}a, Daniel S. and Zhong, Ning},
   title = {Computing domains of attraction for planar dynamics},
   booktitle = {Unconventional computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5715},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {179--190},
   doi = {10.1007/978-3-642-03745-0_22},
}

@article{GZ11,
   author = {G{\"a}rtner, Tobias and Ziegler, Martin},
   title = {Real analytic machines and degrees: a topological view on algebraic limiting computation},
   journal = {Log. Methods Comput. Sci.},
   volume = {7},
   number = {3},
   year = {2011},
   pages = {3:11, 20},
   doi = {10.2168/LMCS-7 (3:11) 2011},
}

@article{GZ11a,
   author = {Gra{\c{c}}a, Daniel and Zhong, Ning},
   title = {Computability in planar dynamical systems},
   journal = {Nat. Comput.},
   volume = {10},
   number = {4},
   year = {2011},
   pages = {1295--1312},
   doi = {10.1007/s11047-010-9230-0},
}

@article{GZ15,
   author = {Gra{\c{c}}a, Daniel and Zhong, Ning},
   title = {An analytic System with a Computable Hyperbolic Sink Whose Basin of Attraction is Non-Computable},
   journal = {Theory of Computing Systems},
   volume = {57},
   number = {2},
   year = {2015},
   pages = {478--520},
   doi = {10.1007/s00224-015-9609-5},
}

@inproceedings{GZ18,
   author = {Gra{\c{c}}a, Daniel S. and Zhong, Ning},
   title = {Computability of ordinary differential equations},
   booktitle = {Sailing routes in the world of computation},
   series = {Lecture Notes in Computer Science},
   volume = {10936},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {204--213},
   doi = {10.1007/978-3-319-94418-0_21},
}

@incollection{GZ21,
   author = {Gra{\c{c}}a, Daniel S. and Zhong, Ning},
   title = {Computability of Differential Equations},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {71--99},
   doi = {10.1007/978-3-030-59234-9\_3},
}

@inproceedings{GZ21a,
   author = {Gra{\c{c}}a, Daniel S. and Zhong, Ning},
   title = {Computability of Limit Sets for Two-Dimensional Flows},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {494--503},
   doi = {10.1007/978-3-030-80049-9_48},
}

@article{GZ21b,
   author = {Gra\c{c}a, Daniel S. and Zhong, Ning},
   title = {The set of hyperbolic equilibria and of invertible zeros on the unit ball is computable},
   journal = {Theoretical Computer Science},
   volume = {895},
   year = {2021},
   pages = {48--54},
   doi = {10.1016/j.tcs.2021.09.028},
}

@article{GZ22,
   author = {Gra\c{c}a, Daniel and Zhong, Ning},
   title = {Computing the exact number of periodic orbits for planar flows},
   journal = {Transactions of the American Mathematical Society},
   volume = {375},
   year = {2022},
   pages = {5491--5538},
   doi = {10.1090/tran/8644},
}

@article{GZ23,
   author = {Gra\c{c}a, Daniel S. and Zhong, Ning},
   title = {Analytic one-dimensional maps and two-dimensional ordinary differential equations can robustly simulate {T}uring machines},
   journal = {Computability},
   volume = {12},
   number = {2},
   year = {2023},
   pages = {117--144},
   doi = {10.3233/COM-210381},
}

@article{GZB09,
   author = {Gra{\c{c}}a, D. S. and Zhong, N. and Buescu, J.},
   title = {Computability, noncomputability and undecidability of maximal intervals of {IVP}s},
   journal = {Transactions of the American Mathematical Society},
   volume = {361},
   number = {6},
   year = {2009},
   pages = {2913--2927},
   doi = {10.1090/S0002-9947-09-04929-0},
}

@article{GZB12,
   author = {Gra{\c{c}}a, Daniel S. and Zhong, Ning and Buescu, Jorge},
   title = {Computability, noncomputability, and hyperbolic systems},
   journal = {Appl. Math. Comput.},
   volume = {219},
   number = {6},
   year = {2012},
   pages = {3039--3054},
   doi = {10.1016/j.amc.2012.09.031},
}

@article{GZD12,
   author = {Gra{\c{c}}a, Daniel S. and Zhong, Ning and Dumas, H. S.},
   title = {The connection between computability of a nonlinear problem and its linearization: {T}he {H}artman-{G}robman theorem revisited},
   journal = {Theoret. Comput. Sci.},
   volume = {457},
   year = {2012},
   pages = {101--110},
   doi = {10.1016/j.tcs.2012.07.013},
}

@article{GZZ01,
   author = {Gay, William and Zhang, Bing-Yu and Zhong, Ning},
   title = {Computability of Solutions of the {K}orteweg-de {V}ries Equation},
   journal = {Mathematical Logic Quarterly},
   volume = {47},
   number = {1},
   year = {2001},
   pages = {93--110},
}

@article{HA01,
   author = {Hirowatari, Eiju and Arikawa, Setsuo},
   title = {A comparison of identification criteria for inductive inference of recursive real-valued functions},
   journal = {Theoretical Computer Science},
   volume = {268},
   year = {2001},
   pages = {351--366},
}

@phdthesis{Hai06,
   author = {Hainry, Emmanuel},
   title = {Mod\`eles de calcul sur les r\'eels r\'esultats de comparaisons},
   school = {l'Institut National Polytechnique de Lorraine},
   year = {2006},
}

@inproceedings{Har93,
   author = {Harrison, John},
   title = {Constructing the real numbers in {HOL}},
   booktitle = {Higher order logic theorem proving and its applications ({L}euven, 1992)},
   series = {IFIP Trans. A Comput. Sci. Tech., A-20},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1993},
   pages = {145--164},
}

@phdthesis{Har96,
   author = {Harrison, John Robert},
   title = {Theorem Proving with the Real Numbers},
   school = {University of Cambridge},
   address = {Cambridge, UK},
   year = {1996},
}

@book{Har98a,
   author = {Harrison, John},
   title = {Theorem proving with the real numbers},
   series = {CPHC/BCS Distinguished Dissertations},
   publisher = {Springer-Verlag London Ltd.},
   address = {London},
   year = {1998},
   pages = {xii+186},
   doi = {10.1007/978-1-4471-1591-5},
}

@article{Hau71,
   author = {Hauck, J\"urgen},
   title = {{E}in {K}riterium f\"{u}r die {A}nnahme des {M}aximums in der {B}erechenbaren {A}nalysis},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {17},
   year = {1971},
   pages = {193--196},
}

@article{Hau71a,
   author = {Hauck, J\"urgen},
   title = {{Z}ur {P}r\"{a}zisierung des {B}egriffes berechenbare reelle {F}unktion},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {17},
   year = {1971},
   pages = {295--300},
}

@article{Hau72,
   author = {Hauck, J\"urgen},
   title = {{F}unktional-{R}ekursion},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {18},
   year = {1972},
   pages = {31--36},
}

@article{Hau72a,
   author = {Hauck, J\"urgen},
   title = {Berechenbare gleichm\"a\ss{}ige {S}tetigkeit in der konstruktiven {A}nalysis von {K}laua},
   journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu Berlin Math.-Nat. R.},
   volume = {21},
   number = {5},
   year = {1972},
   pages = {523--526},
}

@article{Hau72b,
   author = {Hauck, J\"urgen},
   title = {Berechenbare gleichm\"a\ss{}ige {F}initheit rekursiver Funktionale},
   journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu Berlin Math.-Nat. R.},
   volume = {21},
   number = {5},
   year = {1972},
   pages = {527--529},
}

@article{Hau73,
   author = {Hauck, J\"urgen},
   title = {{B}erechenbare reelle {F}unktionen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {19},
   year = {1973},
   pages = {121--140},
}

@article{Hau75,
   author = {Hauck, J\"urgen},
   title = {Turingmaschinen und berechenbare reelle {F}unktionen},
   journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu Berlin Math.-Nat. R.},
   volume = {24},
   number = {6},
   year = {1975},
   pages = {797--798},
}

@article{Hau75a,
   author = {Hauck, J\"urgen},
   title = {Iterationsverfahren in der konstruktiven {A}nalysis},
   journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu Berlin Math.-Nat. R.},
   volume = {24},
   number = {6},
   year = {1975},
   pages = {799--800},
}

@article{Hau76,
   author = {Hauck, J\"urgen},
   title = {{B}erechenbare reelle {F}unktionenfolgen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {22},
   year = {1976},
   pages = {265--282},
}

@article{Hau77,
   author = {Hauck, J\"urgen},
   title = {Zum {Z}wischenwertsatz in der konstruktiven {A}nalysis},
   journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu Berlin Math.-Nat. R.},
   volume = {26},
   number = {5},
   year = {1977},
   pages = {623--627},
}

@article{Hau77a,
   author = {Hauck, J\"urgen},
   title = {Rekursive {F}unktionale und der {F}ixpunksatz von {B}anach},
   journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu Berlin Math.-Nat. R.},
   volume = {26},
   number = {5},
   year = {1977},
   pages = {635--636},
}

@article{Hau78,
   author = {Hauck, J\"urgen},
   title = {{K}onstruktive {D}arstellungen reeller {Z}ahlen und {F}olgen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {24},
   year = {1978},
   pages = {365--374},
}

@article{Hau80,
   author = {Hauck, J\"urgen},
   title = {{S}tetigkeitseigenschaften berechenbarer reeller {F}unktionen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {26},
   year = {1980},
   pages = {69--76},
}

@article{Hau80a,
   author = {Hauck, J\"urgen},
   title = {{K}onstruktive {D}arstellungen in topologischen {R}\"{a}umen mit rekursiver {B}asis},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {26},
   year = {1980},
   pages = {565--576},
}

@article{Hau81,
   author = {Hauck, J\"urgen},
   title = {{B}erechenbarkeit in topologischen {R}\"{a}umen mit rekursiver {B}asis},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {27},
   year = {1981},
   pages = {473--480},
}

@article{Hau82,
   author = {Hauck, J\"urgen},
   title = {{S}tetigkeitseigenschaften berechenbarer {F}unktionale},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {28},
   year = {1982},
   pages = {377--383},
}

@article{Hau83,
   author = {Hauck, J\"urgen},
   title = {Konstruktive reelle {F}unktionale und {O}peratoren},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {29},
   year = {1983},
   pages = {213--218},
}

@article{Hau84,
   author = {Hauck, J\"urgen},
   title = {{E}ine neue {D}efinition berechenbarer reeller {F}unktionen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {30},
   year = {1984},
   pages = {259--268},
}

@article{Hau84a,
   author = {Hauck, J\"urgen},
   title = {{Z}ur {W}ellengleichung mit konstruktiven {R}andbedingungen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {30},
   year = {1984},
   pages = {561--566},
}

@article{Hau85,
   author = {Hauck, J\"urgen},
   title = {{E}in {K}riterium f\"{u}r die konstruktive {L}\"{o}sbarkeit der {D}ifferentialgleichung $y'=f(x,y)$},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {31},
   year = {1985},
   pages = {357--362},
}

@article{Hau87,
   author = {Hauck, J\"urgen},
   title = {{E}ine berechenbare {F}unktion mit rationalen {W}erten, die nicht rekursiv ist},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {33},
   year = {1987},
   pages = {255--256},
}

@phdthesis{Hav01,
   author = {Havea, Robin Siale},
   title = {Constructive Spectral and Numerical Range Theory},
   school = {Department of Mathematics \& Statistics, University of Canterbury},
   address = {Christchurch},
   year = {2001},
}

@article{Hav05,
   author = {Havea, Robin Siale},
   title = {On Firmness of the State Space and Positive Elements of a {B}anach Algebra},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {1963--1969},
}

@article{Hay06,
   author = {Hayashi, Susumu},
   title = {Mathematics based on incremental learning--Excluded middle and inductive inference},
   journal = {Theoretical Computer Science},
   volume = {350},
   year = {2006},
   pages = {125--139},
}

@inproceedings{HD01,
   author = {Hur, Namhyun and Davenport, James H.},
   title = {A Generic Root Operation for Exact Real Arithmetic},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {82--87},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Hec02,
   author = {Heckmann, Reinhold},
   title = {Contractivity of linear fractional transformations},
   journal = {Theoretical Computer Science},
   volume = {279},
   year = {2002},
   pages = {65--82},
}

@article{Hem00a,
   author = {Hemmerling, Armin},
   title = {On the Time Complexity of Partial Real Functions},
   journal = {Journal of Complexity},
   volume = {16},
   year = {2000},
   pages = {363--376},
}

@inproceedings{Hem00b,
   author = {Hemmerling, Armin},
   title = {Berechenbarkeit {\"{u}}ber den reellen {Z}ahlen, der approximative und der algebraische {Z}ugang},
   editor = {Flachsmeyer, J{\"{u}}rgen and Fritsch, Rudolph and Reichel, Hans-Christian},
   booktitle = {Mathematik-interdisziplin{\"{a}}r},
   publisher = {Shaker Verlag},
   address = {Aachen},
   year = {2000},
   pages = {167--176},
}

@inproceedings{Hem01,
   author = {Hemmerling, Armin},
   title = {Standard Representations of Effective Metric Spaces},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {48--68},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Hem02,
   author = {Hemmerling, Armin},
   title = {Effective metric spaces and representations of the reals},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {347--372},
}

@article{Hem03,
   author = {Hemmerling, Armin},
   title = {Approximate decidability in {E}uclidean spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {49},
   number = {1},
   year = {2003},
   pages = {34--56},
}

@article{Hem03a,
   author = {Hemmerling, Armin},
   title = {The discrete parts of approximately decidable sets in {E}uclidean spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {49},
   number = {4},
   year = {2003},
   pages = {428--432},
}

@inproceedings{Hem03b,
   author = {Hemmerling, Armin},
   title = {Characterizations of the class $\Delta_2^{ta}$ over {E}uclidean spaces},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {241--254},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Hem04,
   author = {Hemmerling, Armin},
   title = {Characterizations of the class {$\Delta_2^{ta}$} over {E}uclidean spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {507--519},
}

@inproceedings{Hem05,
   author = {Hemmerling, Armin},
   title = {Hierarchies of Function Classes Defined by the First-Value Operator (Extended Abstract)},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {59--72},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{Hem06,
   author = {Hemmerling, Armin},
   title = {The {H}ausdorff-{E}rshov Hierarchy in {E}uclidean Spaces},
   journal = {Archive for Mathematical Logic},
   volume = {45},
   year = {2006},
   pages = {323--350},
}

@article{Hem08,
   author = {Hemmerling, Armin},
   title = {Hierarchies of function classes defined by the first-value operator},
   journal = {Theoretical Informatics and Applications},
   volume = {42},
   number = {2},
   year = {2008},
   pages = {253--270},
}

@inproceedings{Hem98,
   author = {Hemmerling, Armin},
   title = {On the Time Complexity of Partial Real Functions},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {31--40},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{Hem99,
   author = {Hemmerling, Armin},
   title = {On Approximative and Algebraic Computability over the Real Numbers},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {185--223},
}

@article{Hen11,
   author = {Hendtlass, Matthew},
   title = {The computational content of {W}alras' existence theorem},
   journal = {Appl. Math. Comput.},
   volume = {217},
   number = {13},
   year = {2011},
   pages = {6185--6191},
   doi = {10.1016/j.amc.2010.12.102},
}

@article{Hen12,
   author = {Hendtlass, Matthew},
   title = {The intermediate value theorem in constructive mathematics without choice},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {8},
   year = {2012},
   pages = {1050--1056},
   doi = {10.1016/j.apal.2011.12.026},
}

@article{Hen12a,
   author = {Hendtlass, Matthew},
   title = {Fixed point theorems in constructive mathematics},
   journal = {Journal of Logic and Analysis},
   volume = {4},
   year = {2012},
   pages = {Paper 10, 20},
}

@article{Hen12b,
   author = {Hendtlass, Matthew},
   title = {Constructing the minimal period of homomorphisms into {${R}^n$}},
   journal = {Indagationes Mathematicae},
   volume = {23},
   number = {3},
   year = {2012},
   pages = {479--486},
   doi = {10.1016/j.indag.2012.02.010},
}

@phdthesis{Hen13,
   author = {Hendtlass, Matthew},
   title = {Constructing fixed points and economic equilibria},
   school = {Department of Pure Mathematics, University of Leeds},
   address = {Leeds, UK},
   year = {2013},
   month = {April},
   note = {{Ph.D.} thesis},
}

@inproceedings{Her01a,
   author = {Hertling, Peter},
   title = {Banach-{M}azur Computable Functions on Metric Spaces},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {69--81},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Her02b,
   author = {Hertling, Peter},
   title = {A Comparison of Certain Representations of Regularly Closed Sets},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@inproceedings{Her02c,
   author = {Hertling, Peter},
   title = {A {B}anach-{M}azur Computable But Not {M}arkov Computable Function on the Computable Real Numbers},
   editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {2380},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {962--972},
   note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July 8--13, 2002},
}

@article{Her02d,
   author = {Hertling, Peter},
   title = {Topological Complexity of Zero Finding with Algebraic Operations},
   journal = {Journal of Complexity},
   volume = {18},
   number = {4},
   year = {2002},
   pages = {912--942},
}

@inproceedings{Her03a,
   author = {Hertling, Peter},
   title = {Topological complexity of zero finding for continuous functions (Abstract)},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {13},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Her05,
   author = {Hertling, Peter},
   title = {Is the {M}andelbrot set computable?},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {1},
   year = {2005},
   pages = {5--18},
}

@article{Her05a,
   author = {Hertling, Peter},
   title = {A {B}anach-{M}azur computable but not {M}arkov computable function on the computable real numbers},
   journal = {Annals of Pure and Applied Logic},
   volume = {132},
   number = {2-3},
   year = {2005},
   pages = {227--246},
   doi = {10.1016/j.apal.2004.08.001},
}

@article{Her05c,
   author = {Hertling, Peter},
   title = {Nonrandom sequences between random sequences},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {1970--1985 (electronic)},
}

@article{Her06,
   author = {Hertling, Peter},
   title = {A sequentially computable function that is not effectively continuous at any point},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {752--767},
   doi = {10.1016/j.jco.2006.05.004},
}

@article{Her17,
   author = {Hertling, Peter},
   title = {{C}larke's Generalized Gradient and {E}dalat's {L}-derivative},
   journal = {Journal of Logic \& Analysis},
   volume = {9},
   number = {c1},
   year = {2017},
   pages = {1--21},
   doi = {10.4115/jla.2017.9.c1},
}

@article{Her20,
   author = {Hertling, Peter},
   title = {Forests describing {W}adge degrees and topological {W}eihrauch degrees of certain classes of functions and relations},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {249--307},
   doi = {10.3233/com-190255},
}

@article{Her23,
   author = {Hertling, Peter},
   title = {Remarks on the effective {J}ordan decomposition},
   journal = {Theoretical Computer Science},
   volume = {940},
   year = {2023},
   pages = {176--188},
   doi = {10.1016/j.tcs.2022.10.038},
}

@article{Her96b,
   author = {Hertling, Peter},
   title = {Topological complexity with continuous operations},
   journal = {Journal of Complexity},
   volume = {12},
   year = {1996},
   pages = {315--338},
   doi = {10.1006/jcom.1996.0021},
}

@article{Her96c,
   author = {Hertling, Peter},
   title = {Disjunctive Omega-words und real numbers},
   journal = {Journal of Universal Computer Science},
   volume = {2},
   number = {7},
   year = {1996},
   pages = {549--568},
}

@phdthesis{Her96d,
   author = {Hertling, Peter},
   title = {{U}nstetigkeitsgrade von {F}unktionen in der effektiven {A}nalysis},
   school = {Fachbereich Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1996},
   note = {{D}issertation},
}

@inproceedings{Her97,
   author = {Hertling, Peter},
   title = {Effectivity and Effective Continuity of Functions between Computable Metric Spaces},
   editor = {Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and Reeves, Steve and Witten, Ian H.},
   booktitle = {Combinatorics, Complexity, and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {Singapore},
   year = {1997},
   pages = {264--275},
   note = {Proceedings of DMTCS'96},
}

@article{Her97f,
   author = {Hertling, Peter},
   title = {Surjective Functions on Computably Growing {C}antor Sets},
   journal = {Journal of Universal Computer Science},
   volume = {3},
   number = {11},
   year = {1997},
   pages = {1226--1240},
}

@article{Her99,
   author = {Hertling, Peter},
   title = {Standard Representations of Real Numbers},
   journal = {Chaos, Solitons \& Fractals},
   volume = {10},
   number = {6},
   year = {1999},
   pages = {1087--1101},
}

@article{Her99a,
   author = {Hertling, Peter},
   title = {A Real Number Structure that is Effectively Categorical},
   journal = {Mathematical Logic Quarterly},
   volume = {45},
   number = {2},
   year = {1999},
   pages = {147--182},
}

@article{Her99b,
   author = {Hertling, Peter},
   title = {An effective {R}iemann {M}apping {T}heorem},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {225--265},
}

@article{Hey51,
   author = {Heyting, A.},
   title = {Note on the {R}iesz-{F}ischer theorem},
   journal = {Indagationes Mathematicae},
   volume = {13},
   year = {1951},
   pages = {35--40},
}

@book{Hey56,
   author = {Heyting, A.},
   title = {Intuitionism: {A}n {I}ntroduction},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1956},
}

@book{Hey71,
   author = {Arend Heyting},
   title = {Intuitionism: An Introduction},
   edition = {3rd},
   publisher = {North-Holland},
   year = {1971},
}

@inproceedings{HG17,
   author = {Hoyrup, Mathieu and Gomaa, Walid},
   title = {On the extension of computable real functions},
   booktitle = {2017 32nd {A}nnual {ACM}/{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience ({LICS})},
   publisher = {IEEE},
   address = {Piscataway, NJ},
   year = {2017},
   pages = {12},
}

@inproceedings{Hig10,
   author = {Higuchi, Kojiro},
   title = {{$P_w$} is not a {H}eyting algebra},
   booktitle = {Programs, proofs, processes},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6158},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {190--194},
   doi = {10.1007/978-3-642-13962-8_21},
}

@article{Hig12,
   author = {Higuchi, Kojiro},
   title = {Effectively closed mass problems and intuitionism},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {6},
   year = {2012},
   pages = {693--697},
   doi = {10.1016/j.apal.2011.11.003},
}

@phdthesis{Hig12a,
   author = {Higuchi, Kojiro},
   title = {Degree Structures of Mass Problems and Choice Functions},
   school = {Mathematical Institute, Tohoku University},
   address = {Sendai, Japan},
   year = {2012},
   month = {January},
}

@article{HIP20,
   author = {Horvat, Marko and Iljazovi{\'c}, Zvonko and Pa{\v{z}}ek, Bojan},
   title = {Computability of pseudo-cubes},
   journal = {Annals of Pure and Applied Logic},
   volume = {171},
   number = {8},
   year = {2020},
   pages = {102823},
   doi = {10.1016/j.apal.2020.102823},
}

@book{Hir15,
   author = {Hirschfeldt, Denis R.},
   title = {Slicing the Truth: On the Computable and Reverse Mathematics of Combinatorial Principles},
   series = {Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore},
   volume = {28},
   publisher = {World Scientific},
   address = {Singapore},
   year = {2015},
}

@incollection{Hir17,
   author = {Hirschfeldt, Denis R.},
   title = {Some Questions in Computable Mathematics},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {22--55},
   doi = {10.1007/978-3-319-50062-1_4},
}

@article{Hir20,
   author = {Hirst, Jeffry L.},
   title = {Leaf management},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {309--314},
   doi = {10.3233/com-180243},
}

@phdthesis{Hir90,
   author = {Hirsch, Michael David},
   title = {Applications of topology to lower bound estimates in computer science},
   school = {University of California, Berkeley},
   year = {1990},
   pages = {39},
   note = {{Ph.D.} thesis},
}

@inproceedings{Hit02,
   author = {Hitchcock, John M.},
   title = {Correspondence Principles for Effective Dimensions},
   editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {2380},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {561--572},
   note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July 8--13, 2002},
}

@article{HIV08,
   author = {Havea, Robin and Ishihara, Hajime and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Separation properties in neighbourhood and quasi-apartness spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {1},
   year = {2008},
   pages = {58--64},
   doi = {10.1002/malq.200710025},
}

@article{HJ16,
   author = {Hirschfeldt, Denis R. and Jockusch, Carl G.},
   title = {On notions of computability-theoretic reduction between {$\Pi_2^1$} principles},
   journal = {Journal of Mathematical Logic},
   volume = {16},
   number = {1},
   year = {2016},
   pages = {1650002, 59},
   doi = {10.1142/S0219061316500021},
}

@inproceedings{HK12,
   author = {Higuchi, Kojiro and Kihara, Takayuki},
   title = {Effective strong nullness and effectively closed sets},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {303--312},
}

@article{HK14,
   author = {Higuchi, Kojiro and Kihara, Takayuki},
   title = {Inside the {M}uchnik degrees {I}: Discontinuity, learnability and constructivism},
   journal = {Annals of Pure and Applied Logic},
   volume = {165},
   number = {5},
   year = {2014},
   pages = {1058--1114},
   doi = {10.1016/j.apal.2014.01.003},
}

@article{HK14a,
   author = {Higuchi, Kojiro and Kihara, Takayuki},
   title = {Inside the {M}uchnik Degrees {II}: The degree structures induced by the arithmetical hierarchy of countably continuous functions},
   journal = {Annals of Pure and Applied Logic},
   volume = {165},
   number = {6},
   year = {2014},
   pages = {1201--1241},
   doi = {10.1016/j.apal.2014.03.001},
}

@inproceedings{HK23,
   author = {Hiroshima, Keita and Kawamura, Akitoshi},
   title = {Elementarily Traceable Irrational Numbers},
   editor = {Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin},
   booktitle = {Unity of Logic and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {13967},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {135--140},
   note = {19th Conference on Computability in Europe},
   doi = {10.1007/978-3-031-36978-0_11},
}

@inproceedings{HKL+17,
   author = {Huang, Xiang and Klinge, Titus H and Lathrop, James I and Li, Xiaoyuan and Lutz, Jack H},
   title = {Real-Time Computability of Real Numbers by Chemical Reaction Networks},
   booktitle = {International Conference on Unconventional Computation and Natural Computation},
   year = {2017},
   pages = {29--40},
}

@article{HKL+19,
   author = {Huang, Xiang and Klinge, Titus H. and Lathrop, James I. and Li, Xiaoyuan and Lutz, Jack H.},
   title = {Real-time computability of real numbers by chemical reaction networks},
   journal = {Natural Computing},
   volume = {18},
   number = {1},
   year = {2019},
   pages = {63--73},
   doi = {10.1007/s11047-018-9706-x},
}

@article{HKL08,
   author = {Hoyrup, Mathieu and Kol{\c{c}}ak, Arda and Longo, Giuseppe},
   title = {Computability and the morphological complexity of some dynamics on continuous domains},
   journal = {Theoretical Computer Science},
   volume = {398},
   number = {1-3},
   year = {2008},
   pages = {170--182},
   doi = {10.1016/j.tcs.2008.01.048},
}

@inproceedings{HKP19,
   author = {Hirvonen, Asa and Kontinen, Juha and Pauly, Arno},
   title = {Continuous Team Semantics},
   editor = {Gopal, T.V. and Watada, Junzo},
   booktitle = {Theory and Applications of Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {11436},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {262--278},
   note = {15th Annual Conference, TAMC 2019 Kitakyushu, Japan, April 13-16, 2019 Proceedings},
   doi = {10.1007/978-3-030-14812-6_16},
}

@article{HKR02,
   author = {Heindl, Gerhard and Kreinovich, Vladik and Rifqi, Maria},
   title = {In Case of Interval (or More General) Uncertainty, No Algorithm Can Choose the Simplest Representative},
   journal = {Reliable Computing},
   volume = {8},
   year = {2002},
   pages = {213--227},
}

@inproceedings{HKS20,
   author = {Hoyrup, Mathieu and Kihara, Takayuki and Selivanov, Victor},
   title = {Degrees of Non-computability of Homeomorphism Types of {P}olish Spaces},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {189--192},
   doi = {10.1007/978-3-030-51466-2_16},
}

@article{HKS23,
   author = {Hoyrup, Mathieu and Kihara, Takayuki and Selivanov, Victor},
   title = {Degree Spectra of Homeomorphims Type of Compact {P}olish Spaces},
   journal = {The Journal of Symbolic Logic},
   publisher = {Cambridge University Press},
   year = {2023},
   pages = {1--32},
   doi = {10.1017/jsl.2023.93},
}

@inproceedings{HL02,
   author = {Hitchcock, John M. and Lutz, Jack H.},
   title = {Why Computational Complexity Requires Stricter Martingales},
   editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {2380},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {549--560},
   note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July 8--13, 2002},
}

@article{HL16,
   author = {Hendtlass, Matthew and Lubarsky, Robert},
   title = {Separating Fragments of {WLEM}, {LPO}, and {MP}},
   journal = {Journal of Symbolic Logic},
   volume = {81},
   number = {4},
   year = {2016},
   month = {12},
   doi = {10.1017/jsl.2016.38},
}

@article{HM13,
   author = {Hitchcock, John M. and Mayordomo, Elvira},
   title = {Base invariance of feasible dimension},
   journal = {Inform. Process. Lett.},
   volume = {113},
   number = {14-16},
   year = {2013},
   pages = {546--551},
   doi = {10.1016/j.ipl.2013.04.004},
}

@incollection{HM17,
   author = {Hirst, Jeffry L. and Mummert, Carl},
   title = {Reverse Mathematics of Matroids},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {143--159},
   doi = {10.1007/978-3-319-50062-1_12},
}

@article{HM19,
   author = {Hirst, Jeffry L. and Mummert, Carl},
   title = {Using {R}amsey's theorem once},
   journal = {Archive for Mathematical Logic},
   volume = {58},
   number = {7-8},
   year = {2019},
   pages = {857--866},
   doi = {10.1007/s00153-019-00664-z},
}

@article{HM23,
   author = {Hirst, Jeffry L. and Mummert, Carl},
   title = {Banach’s theorem in higher-order reverse mathematics},
   journal = {Computability},
   volume = {12},
   number = {3},
   year = {2023},
   pages = {203--225},
   doi = {10.3233/COM-230453},
}

@article{HMM20,
   author = {Harrison-Trainor, Matthew and Melnikov, Alexander and Ng, Keng Meng},
   title = {Computability of {P}olish spaces up to homeomorphism},
   journal = {The Journal of Symbolic Logic},
   volume = {85},
   number = {4},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {1664--1686},
   doi = {10.1017/jsl.2020.67},
}

@article{HN06,
   author = {Hughes, Jesse and Niqui, Milad},
   title = {Admissible digit sets},
   journal = {Theoretical Computer Science},
   volume = {351},
   number = {1},
   year = {2006},
   pages = {61--73},
}

@inproceedings{HNSS18,
   author = {Hoyrup, Mathieu and Nava Saucedo, Diego and Stull, Don M.},
   title = {Semicomputable geometry},
   booktitle = {45th {I}nternational {C}olloquium on {A}utomata, {L}anguages, and {P}rogramming},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {107},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   year = {2018},
   pages = {Art. No. 129, 13},
}

@article{Ho96,
   author = {Ho, Chun-Kuen},
   title = {Beyond recursive real functions},
   journal = {Information and Computation},
   volume = {124},
   number = {2},
   year = {1996},
   pages = {113--126},
}

@article{Ho99,
   author = {Ho, Chun-Kuen},
   title = {Relatively recursive reals and real functions},
   journal = {Theoretical Computer Science},
   volume = {210},
   number = {1},
   year = {1999},
   pages = {99--120},
}

@article{Hoc12,
   author = {Hochman, Michael},
   title = {Rohlin properties for {$\Bbb{Z}^{d}$} actions on the {C}antor set},
   journal = {Trans. Amer. Math. Soc.},
   volume = {364},
   number = {3},
   year = {2012},
   pages = {1127--1143},
   doi = {10.1090/S0002-9947-2011-05319-5},
}

@article{Hoe06,
   author = {van der Hoeven, Joris},
   title = {Computations with effective real numbers},
   journal = {Theoretical Computer Science},
   volume = {351},
   number = {1},
   year = {2006},
   pages = {52--60},
}

@inproceedings{Hoe06a,
   author = {van der Hoeven, Joris},
   title = {Effective Real Numbers in {M}mxlib},
   editor = {Dumas, Jean-Guillaume},
   booktitle = {International Conference on Symbolic and Algebraic Computation},
   publisher = {ACM Press},
   year = {2006},
   pages = {138--145},
   note = {Proceedings of the International Symposium on Symbolic and Algebraic Computations ISSAC, Genoa, Italy, July 9--12, 2006},
}

@phdthesis{Hog96,
   author = {Hogarth, Mark},
   title = {Predictability, Computability and Spacetime},
   school = {Sidney Sussex College, Cambridge University},
   year = {1996},
   note = {{Ph.D.} thesis},
}

@phdthesis{Hoo87,
   author = {Hoover, H. James},
   title = {Feasible Constructive Analysis},
   school = {Dept.\ of Computer Science, University of Toronto},
   address = {Toronto, Canada},
   year = {1987},
}

@inproceedings{Hoo89,
   author = {Hoover, H. James},
   title = {Why integration is hard},
   editor = {Kaltofen, Erich and Watt, Stephen M.},
   booktitle = {Computers and mathematics},
   publisher = {Springer},
   year = {1989},
   pages = {172--181},
   note = {Conference held at the Massachusetts Institute of Technology, Cambridge, Massachusetts, June 13--17, 1989},
}

@article{Hoo90,
   author = {Hoover, H. James},
   title = {Feasible real functions and arithmetic circuits},
   journal = {SIAM Journal on Computing},
   volume = {19},
   number = {1},
   year = {1990},
   pages = {182--204},
}

@article{Hoo91,
   author = {Hoover, H. James},
   title = {Real functions, contraction mappings, and {P}-completeness},
   journal = {Information and Computation},
   volume = {93},
   number = {2},
   year = {1991},
   pages = {333--349},
}

@inproceedings{Hoo93,
   author = {Hoover, H. James},
   title = {Computational models for feasible real analysis},
   editor = {Buss, Samuel R. and Scott, Philip J.},
   booktitle = {Feasible mathematics},
   series = {Progress in Computer Science and Applied Logic},
   volume = {9},
   publisher = {Birkh\"auser},
   year = {1993},
   pages = {221--237},
   note = {Proceedings of the workshop held at Cornell University, Ithaca, New York, June 26--28, 1989},
}

@inproceedings{Hou06,
   author = {Hou, Tie},
   title = {Coinductive Proofs for Basic Real Computation},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {221--230},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@inproceedings{Hoy11,
   author = {Hoyrup, Mathieu},
   title = {Randomness and the ergodic decomposition},
   editor = {Benedikt L{\"o}we and Dag Normann and Ivan N. Soskov and Alexandra A. Soskova},
   booktitle = {Models of Computation in Context},
   series = {Lecture Notes in Computer Science},
   volume = {6735},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {122--131},
   doi = {10.1007/978-3-642-21875-0_13},
}

@inproceedings{Hoy12,
   author = {Hoyrup, Mathieu},
   title = {The dimension of ergodic random sequences},
   editor = {Christoph D{\"u}rr and Thomas Wilke},
   booktitle = {29th {I}nternational {S}ymposium on {T}heoretical {A}spects of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {14},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2012},
   pages = {567--576},
}

@article{Hoy13,
   author = {Hoyrup, Mathieu},
   title = {Computability of the ergodic decomposition},
   journal = {Annals of Pure and Applied Logic},
   volume = {164},
   number = {5},
   year = {2013},
   pages = {542--549},
   doi = {10.1016/j.apal.2012.11.005},
}

@inproceedings{Hoy14,
   author = {Hoyrup, Mathieu},
   title = {Irreversible computable functions},
   editor = {Ernst W. Mayr and Natacha Portier},
   booktitle = {31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {25},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2014},
   pages = {362--373},
   doi = {10.4230/LIPIcs.STACS.2014.362},
}

@inproceedings{Hoy16,
   author = {Hoyrup, Mathieu},
   title = {The Typical Constructible Object},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {115--123},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_12},
}

@incollection{Hoy16a,
   author = {Hoyrup, Mathieu},
   title = {The decidable properties of subrecursive functions},
   booktitle = {43rd {I}nternational {C}olloquium on {A}utomata, {L}anguages, and {P}rogramming},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {55},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2016},
   pages = {Art. No. 108, 13},
}

@article{Hoy17,
   author = {Hoyrup, Mathieu},
   title = {Genericity of Weakly Computable Objects},
   journal = {Theory of Computing Systems},
   volume = {60},
   number = {3},
   year = {2017},
   pages = {396--420},
   doi = {10.1007/s00224-016-9737-6},
}

@inproceedings{Hoy18,
   author = {Hoyrup, Mathieu},
   title = {Topological analysis of representations},
   booktitle = {Sailing routes in the world of computation},
   series = {Lecture Notes in Computer Science},
   volume = {10936},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {214--223},
   doi = {10.1007/978-3-319-94418-0_22},
}

@inproceedings{Hoy20,
   author = {Hoyrup, Mathieu},
   title = {Descriptive Complexity on Non-{P}olish Spaces {II}},
   editor = {Czumaj, Artur and Dawar, Anuj and Merelli, Emanuela},
   booktitle = {47th International Colloquium on Automata, Languages, and Programming ({ICALP} 2020)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {168},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2020},
   pages = {132:1--132:17},
   doi = {10.4230/LIPIcs.ICALP.2020.132},
}

@incollection{Hoy20a,
   author = {Hoyrup, Mathieu},
   title = {Algorithmic randomness and layerwise computability},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {115--133},
   doi = {10.1017/9781108781718.005},
}

@article{Hoy22,
   author = {Hoyrup, Mathieu},
   title = {The fixed-point property for represented spaces},
   journal = {Annals of Pure and Applied Logic},
   volume = {173},
   number = {5},
   year = {2022},
   pages = {Paper No. 103090, 29},
   doi = {10.1016/j.apal.2022.103090},
}

@phdthesis{Hoy23,
   author = {Hoyrup, Mathieu},
   title = {Topological Aspects of Representations in Computable Analysis},
   school = {Laboratoire Lorrain de Recherche en Informatique et ses Applications},
   address = {Nancy, France},
   year = {2023},
   note = {Habilitation Thesis},
}

@article{HP13,
   author = {Higuchi, Kojiro and Pauly, Arno},
   title = {The degree structure of {W}eihrauch reducibility},
   journal = {Log. Methods Comput. Sci.},
   volume = {9},
   number = {2},
   year = {2013},
   pages = {2:02, 17},
   doi = {10.2168/LMCS-9(2:2)2013},
}

@article{HP22,
   author = {H{\"o}lzl, Rupert and Porter, Christoph P.},
   title = {Degrees of randomized computability},
   journal = {Bulletin of Symbolic Logic},
   volume = {28},
   number = {1},
   year = {2022},
   pages = {27--70},
   doi = {10.1017/bsl.2021.46},
}

@article{HR09,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Computability of probability measures and {M}artin-{L}\"of randomness over metric spaces},
   journal = {Information and Computation},
   volume = {207},
   number = {7},
   year = {2009},
   pages = {830--847},
   doi = {10.1016/j.ic.2008.12.009},
}

@inproceedings{HR09a,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {An application of {M}artin-{L}\"of randomness to effective probability theory},
   editor = {Klaus Ambos-Spies and Benedikt L{\"o}we and Wolfgang Merkle},
   booktitle = {Mathematical Theory and Computational Practice},
   series = {Lecture Notes in Computer Science},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {260--269},
   doi = {10.1007/978-3-642-03073-4_27},
}

@inproceedings{HR09b,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {Applications of effective probability theory to {M}artin-{L}\"of randomness},
   editor = {Susanne Albers and Alberto Marchetti-Spaccamela and Yossi Matias and Sotiris E. Nikoletseas and Wolfgang Thomas},
   booktitle = {Automata, Languages and Programming. {P}art {I}},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5555},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {549--561},
   doi = {10.1007/978-3-642-02927-1_46},
}

@inproceedings{HR15,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {On the Information Carried by Programs about the Objects They Compute},
   editor = {Mayr, Ernst W. and Ollinger, Nicolas},
   booktitle = {32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {30},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2015},
   pages = {447--459},
   doi = {10.4230/LIPIcs.STACS.2015.447},
}

@article{HR17,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal},
   title = {On the Information Carried by Programs About the Objects they Compute},
   journal = {Theory of Computing Systems},
   volume = {61},
   number = {4},
   year = {2017},
   pages = {1214--1236},
   doi = {10.1007/s00224-016-9726-9},
}

@incollection{HR21,
   author = {Hoyrup, Mathieu and Rute, Jason},
   title = {Computable Measure Theory and Algorithmic Randomness},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {227--270},
   doi = {10.1007/978-3-030-59234-9_7},
}

@inproceedings{HRSS19,
   author = {Hoyrup, Mathieu and Rojas, Crist\'{o}bal and Selivanov, Victor and Stull, Donald M.},
   title = {Computability on quasi-{P}olish spaces},
   booktitle = {Descriptional complexity of formal systems},
   series = {Lecture Notes in Computer Science},
   volume = {11612},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {171--183},
}

@inproceedings{HRW11,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal and Weihrauch, Klaus},
   title = {Computability of the {R}adon-{N}ikodym derivative},
   editor = {L{\"o}we, Benedikt and Normann, Dag and Soskov, Ivan and Soskova, Alexandra},
   booktitle = {Models of Computation in Context},
   series = {Lecture Notes in Computer Science},
   volume = {6735},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {132--141},
   doi = {10.1007/978-3-642-21875-0_14},
}

@article{HRW12,
   author = {Hoyrup, Mathieu and Rojas, Crist{\'o}bal and Weihrauch, Klaus},
   title = {Computability of the {R}adon-{N}ikodym Derivative},
   journal = {Computability},
   volume = {1},
   number = {1},
   year = {2012},
   pages = {3--13},
   doi = {10.3233/COM-2012-005},
}

@article{HS08a,
   author = {Hertling, Peter and Spandl, Christoph},
   title = {Computability theoretic properties of the entropy of gap shifts},
   journal = {Fundamenta Informaticae},
   volume = {83},
   number = {1-2},
   year = {2008},
   pages = {141--157},
}

@article{HS08b,
   author = {Hertling, Peter and Spandl, Christoph},
   title = {Shifts with decidable language and non-computable entropy},
   journal = {Discrete Mathematics and Theoretical Computer Science},
   volume = {10},
   number = {3},
   year = {2008},
   pages = {75--93},
}

@inproceedings{HS11,
   author = {Hertling, Peter and Selivanov, Victor},
   title = {Complexity issues for preorders on finite labeled forests},
   editor = {L{\"o}we, Benedikt and Normann, Dag and Soskov, Ivan and Soskova, Alexandra},
   booktitle = {Models of computation in context},
   series = {Lecture Notes in Computer Science},
   volume = {6735},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {112--121},
   note = {7th Conference on Computability in Europe, CiE 2011, Sofia, Bulgaria, June 27--July 2, 2011},
   doi = {10.1007/978-3-642-21875-0_12},
}

@article{HS11a,
   author = {Hendtlass, Matthew and Schuster, Peter},
   title = {Minima and best approximations in constructive analysis},
   journal = {J. Log. Anal.},
   volume = {3},
   year = {2011},
   pages = {Paper 5, 17},
   doi = {10.4115/jla.2011.3.5},
}

@inproceedings{HS12,
   author = {Hendtlass, Matthew and Schuster, Peter},
   title = {A direct proof of {W}iener's theorem},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {293--302},
}

@article{HS14,
   author = {Hertling, Peter and Spandl, Christoph},
   title = {Computing a solution of {F}eigenbaum's functional equation in polynomial time},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   number = {4},
   year = {2014},
   pages = {4:7, 9},
   doi = {10.2168/LMCS-10(4:7)2014},
}

@incollection{HS14a,
   author = {Hertling, Peter and Selivanov, Victor},
   title = {Complexity issues for preorders on finite labeled forests},
   editor = {Brattka, Vasco and Diener, Hannes and Spreen, Dieter},
   booktitle = {Logic, Computation, Hierarchies},
   series = {Ontos Mathematical Logic},
   publisher = {Walter de Gruyter},
   address = {Boston},
   year = {2014},
   pages = {165--190},
}

@article{HS15,
   author = {H{\"o}lzl, Rupert and Shafer, Paul},
   title = {Universality, optimality, and randomness deficiency},
   journal = {Annals of Pure and Applied Logic},
   volume = {166},
   number = {10},
   year = {2015},
   pages = {1049--1069},
   doi = {j.apal.2015.05.006},
}

@inproceedings{HS16,
   author = {Huang, Xiang and Stull, Donald M.},
   title = {Polynomial Space Randomness in Analysis},
   editor = {Faliszewski, Piotr and Muscholl, Anca and Niedermeier, Rolf},
   booktitle = {41st International Symposium on Mathematical Foundations of Computer Science ({MFCS} 2016)},
   series = {Leibniz International Proceedings in Informatics ({LIPI}cs)},
   volume = {58},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2016},
   pages = {86:1--86:13},
   doi = {10.4230/LIPIcs.MFCS.2016.86},
}

@inproceedings{HS19,
   author = {Hoyrup, Mathieu and Stull, Donald M.},
   title = {Semicomputable Points in {E}uclidean Spaces},
   editor = {Rossmanith, Peter and Heggernes, Pinar and Katoen, Joost-Pieter},
   booktitle = {44th International Symposium on Mathematical Foundations of Computer Science ({MFCS} 2019)},
   series = {Leibniz International Proceedings in Informatics ({LIPI}cs)},
   volume = {138},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2019},
   pages = {48:1--48:13},
   doi = {10.4230/LIPIcs.MFCS.2019.48},
}

@inproceedings{HT08,
   author = {Hirschfeldt, Denis R. and Terwijn, Sebastiaan A.},
   title = {Limit computability and constructive measure},
   booktitle = {Computational prospects of infinity. {P}art {II}. {P}resented talks},
   series = {Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.},
   volume = {15},
   publisher = {World Sci. Publ., Hackensack, NJ},
   year = {2008},
   pages = {131--141},
   doi = {10.1142/9789812796554_0007},
}

@phdthesis{Hud62,
   author = {Hudes, L.},
   title = {Hyperarithmetical real numbers and hyperarithmetical analysis},
   school = {Massachusetts Institute of Technology},
   address = {Cambridge, Mass.},
   year = {1962},
}

@article{HW03,
   author = {Hertling, Peter and Weihrauch, Klaus},
   title = {Random elements in effective topological spaces with measure},
   journal = {Information and Computation},
   volume = {181},
   number = {1},
   year = {2003},
   pages = {32--56},
}

@inproceedings{HW94,
   author = {Hertling, Peter and Weihrauch, Klaus},
   title = {Levels of degeneracy and exact lower complexity bounds for geometric algorithms},
   booktitle = {Proceedings of the Sixth Canadian Conference on Computational Geometry},
   year = {1994},
   pages = {237--242},
   note = {{S}askatoon, Saskatchewan, August 2--6, 1994},
}

@inproceedings{HW98,
   author = {Hertling, Peter and Weihrauch, Klaus},
   title = {Randomness Spaces},
   editor = {Kim G. Larsen and Sven Skyum and Glynn Winskel},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {1443},
   publisher = {Springer},
   address = {Berlin},
   year = {1998},
   pages = {796--807},
   note = {25th International Colloquium, ICALP'98, Aalborg, Denmark, July 1998},
}

@article{Hyl79,
   author = {Hyland, J.M.E.},
   title = {Filter Spaces and Continuous Functionals},
   journal = {Annals of Mathematical Logic},
   volume = {16},
   year = {1979},
   pages = {101--143},
}

@inproceedings{Hyl82,
   author = {Hyland, J.M.E.},
   title = {Application of constructivity},
   editor = {Cohen, L.J. and Lo\'s, G. and Pfeiffer, H. and and Podewski, K.-P.},
   booktitle = {Methodology and Philos. Sci. VI},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {104},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1982},
   pages = {145--152},
   note = {(Proc. 6th. Internatl. Congr. Logic, Methodology, and Philos. Sci., Hannover, Aug. 22--29, 1979)},
}

@article{IC21,
   author = {{\v{C}}elar, Matea and Iljazovi{\'c}, Zvonko},
   title = {Computability of Products of Chainable Continua},
   journal = {Theory of Computing Systems},
   volume = {65},
   year = {2021},
   pages = {410--427},
   doi = {10.1007/s00224-020-10017-6},
}

@article{Iiz06,
   author = {Iizuka, Shinji},
   title = {Effective continuities on effective topological spaces},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {894--908},
}

@article{IJ24,
   author = {Iljazovi\'{c}, Zvonko and Jeli\'{c}, Matea},
   title = {Computable approximations of a chainable continuum with a computable endpoint},
   journal = {Archive for Mathematical Logic},
   volume = {63},
   number = {1-2},
   year = {2024},
   pages = {181--201},
   doi = {10.1007/s00153-023-00891-5},
}

@article{IK15,
   author = {Ishihara, Hajime and Kawai, Tatsuji},
   title = {Completeness and cocompleteness of the categories of basic pairs and concrete spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1626--1648},
   doi = {10.1017/S0960129513000285},
}

@incollection{IK21,
   author = {Iljazovi{\'c}, Zvonko and Takayuki Kihara},
   title = {Computability of Subsets of Metric Spaces},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {29--69},
   doi = {10.1007/978-3-030-59234-9\_2},
}

@proceedings{IKP+17,
   title = {Special issue: {C}ontinuity, computability, constructivity: from logic to algorithms 2013},
   editor = {Ishihara, Hajime and Korovina, Margarita and Pauly, Arno and Seisenberger, Monika and Spreen, Dieter},
   series = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1285--1286},
   doi = {10.1017/S0960129516000086},
}

@article{Ilj09,
   author = {Iljazovi{\'c}, Zvonko},
   title = {Chainable and circularly chainable co-r.e. sets in computable metric spaces},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1206--1235},
   doi = {10.3217/jucs-015-06-1206},
}

@article{Ilj10,
   author = {Iljazovi{\'c}, Zvonko},
   title = {Isometries and computability structures},
   journal = {Journal of Universal Computer Science},
   volume = {16},
   number = {18},
   year = {2010},
   pages = {2569--2596},
   doi = {10.3217/jucs-016-18-2569},
}

@article{Ilj11,
   author = {Iljazovi{\'c}, Zvonko},
   title = {Co-c.e. spheres and cells in computable metric spaces},
   journal = {Logical Methods in Computer Science},
   volume = {7},
   number = {3},
   year = {2011},
   pages = {3:05, 21},
}

@article{Ilj12,
   author = {Iljazovi{\'c}, Zvonko},
   title = {Local computability of computable metric spaces and computability of co-c.e. continua},
   journal = {Glas. Mat. Ser. III},
   volume = {47(67)},
   number = {1},
   year = {2012},
   pages = {1--20},
   doi = {10.3336/gm.47.1.01},
}

@article{Ilj13,
   author = {Iljazovi{\'c}, Zvonko},
   title = {Compact manifolds with computable boundaries},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   number = {4},
   year = {2013},
   pages = {4:19, 22},
   doi = {10.2168/LMCS-9(4:19)2013},
}

@article{Ilj20,
   author = {Iljazovi{\'c}, Zvonko},
   title = {Computability of graphs},
   journal = {Mathematical Logic Quarterly},
   volume = {66},
   number = {1},
   year = {2020},
   pages = {51--64},
   doi = {10.1002/malq.201900025},
}

@article{Ils65,
   author = {Ilse, Dieter},
   title = {Zur {S}tetigkeit berechenbarer reeller {F}unktionen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {11},
   year = {1965},
   pages = {297--342},
}

@article{IMSV04,
   author = {Ishihara, Hajime and Mines, Ray and Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
   title = {Quasi-apartness and neighbourhood spaces},
   journal = {Annals of Pure and Applied Logic},
   volume = {141},
   number = {1--2},
   year = {2006},
   pages = {296--306},
}

@article{IP06,
   author = {Ishihara, Hajime and Palmgren, Erik},
   title = {Quotient topologies in constructive set theory and type theory},
   journal = {Annals of Pure and Applied Logic},
   volume = {141},
   number = {1--2},
   year = {2006},
   pages = {257--265},
}

@article{IP18,
   author = {Iljazovi{\'c}, Zvonko and Pa{\v{z}}ek, Bojan},
   title = {Warsaw discs and semicomputability},
   journal = {Topology and its Applications},
   volume = {239},
   year = {2018},
   pages = {308--323},
   doi = {10.1016/j.topol.2018.02.014},
}

@article{IP18a,
   author = {Iljazovi{\'c}, Zvonko and Pa{\v{z}}ek, Bojan},
   title = {Computable intersection points},
   journal = {Computability},
   volume = {7},
   number = {3},
   year = {2018},
   pages = {57--99},
   doi = {10.3233/COM-170079},
}

@article{IP18b,
   author = {Iljazovi{\'c}, Zvonko and Pa{\v{z}}ek, Bojan},
   title = {Co-c.e. Sets with Disconnected Complements},
   journal = {Theory of Computing Systems},
   volume = {62},
   number = {5},
   year = {2018},
   month = {Jul},
   pages = {1109--1124},
   doi = {10.1007/s00224-017-9781-x},
}

@article{IS04,
   author = {Ishihara, Hajime and Schuster, Peter},
   title = {Compactness under constructive scrutiny},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {6},
   year = {2004},
   pages = {540--550},
}

@article{IS08,
   author = {Ishihara, Hajime and Schuster, Peter},
   title = {A continuity principle, a version of {B}aire's theorem and a boundedness principle},
   journal = {Journal of Symbolic Logic},
   volume = {73},
   number = {4},
   year = {2008},
   pages = {1354--1360},
   doi = {10.2178/jsl/1230396924},
}

@article{IS10,
   author = {Ishihara, Hajime and Schuster, Peter},
   title = {Kronecker's density theorem and irrational numbers in constructive reverse mathematics},
   journal = {Math. Semesterber.},
   volume = {57},
   number = {1},
   year = {2010},
   pages = {57--72},
   doi = {10.1007/s00591-009-0062-x},
}

@article{IS18,
   author = {Iljazovi{\'c}, Zvonko and Su{\v{s}}i{\'c}, Igor},
   title = {Semicomputable manifolds in computable topological spaces},
   journal = {Journal of Complexity},
   volume = {45},
   year = {2018},
   pages = {83--114},
   doi = {10.1016/j.jco.2017.11.004},
}

@article{Ish00,
   author = {Ishihara, Hajime},
   title = {Feasibly constructive analysis},
   journal = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
   volume = {1169},
   year = {2000},
   pages = {76--83},
   note = {Research Institute for Mathematical Sciences Kyoto},
}

@article{Ish01,
   author = {Ishihara, Hajime},
   title = {Locating subsets of a Hilbert space},
   journal = {Proceedings of the American Mathematical Society},
   volume = {129},
   year = {2001},
   pages = {1385--1390},
}

@inproceedings{Ish01a,
   author = {Ishihara, Hajime},
   title = {Sequentially Continuity in Constructive Mathematics},
   editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
   booktitle = {Combinatorics, Computability and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {London},
   year = {2001},
   pages = {5--12},
   note = {Proceedings of DMTCS 2001},
}

@incollection{Ish05,
   author = {Ishihara, Hajime},
   title = {Constructive reverse mathematics: compactness properties},
   editor = {Crosilla, Laura and Schuster, Peter},
   booktitle = {From Sets and Types to Topology and Analysis: Towards Practicable Foundations for Constructive Mathematics},
   publisher = {Oxford University Press},
   year = {2005},
   pages = {245--267},
}

@article{Ish06,
   author = {Ishihara, Hajime},
   title = {Reverse mathematics in {B}ishop's constructive mathematics},
   journal = {Philosophia Scientiae, Cahier special},
   volume = {6},
   year = {2006},
   pages = {43-59},
}

@article{Ish06a,
   author = {Ishihara, Hajime},
   title = {Weak {K}{\"o}nig's Lemma Implies {B}rouwer's Fan Theorem: A Direct Proof},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {47},
   number = {2},
   year = {2006},
   pages = {249--252},
}

@inproceedings{Ish07,
   author = {Ishihara, Hajime},
   title = {Unique Existence and Computability in Constructive Reverse Mathematics},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {368--377},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@incollection{Ish09,
   author = {Ishihara, Hajime},
   title = {Relativization of real numbers to a universe},
   booktitle = {Logicism, intuitionism, and formalism},
   series = {Synth. Libr.},
   volume = {341},
   publisher = {Springer},
   address = {Dordrecht},
   year = {2009},
   pages = {189--207},
   doi = {10.1007/978-1-4020-8926-8_9},
}

@article{Ish12,
   author = {Ishihara, Hajime},
   title = {Two subcategories of apartness spaces},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {2},
   year = {2012},
   pages = {132--139},
   doi = {10.1016/j.apal.2011.06.022},
}

@article{Ish12a,
   author = {Ishihara, Hajime},
   title = {The uniform boundedness theorem and a boundedness principle},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {8},
   year = {2012},
   pages = {1057--1061},
   doi = {10.1016/j.apal.2011.12.027},
}

@article{Ish13,
   author = {Ishihara, Hajime},
   title = {Relating {B}ishop's function spaces to neighbourhood spaces},
   journal = {Annals of Pure and Applied Logic},
   volume = {164},
   number = {4},
   year = {2013},
   pages = {482--490},
   doi = {10.1016/j.apal.2012.10.009},
}

@article{Ish18,
   author = {Ishihara, Hajime},
   title = {On {B}rouwer's continuity principle},
   journal = {Indagationes Mathematicae},
   volume = {29},
   number = {6},
   year = {2018},
   pages = {1511--1524},
   doi = {10.1016/j.indag.2018.01.012},
}

@article{Ish88,
   author = {Ishihara, Hajime},
   title = {Constructive reflexivity of a uniformly convex {B}anach space},
   journal = {Proc. Amer. Math. Soc.},
   volume = {104},
   number = {3},
   year = {1988},
   pages = {735--740},
}

@article{Ish89,
   author = {Ishihara, Hajime},
   title = {On the constructive {H}ahn-{B}anach theorem},
   journal = {Bull. London Math. Soc.},
   volume = {21},
   number = {1},
   year = {1989},
   pages = {79--81},
}

@article{Ish89a,
   author = {Ishihara, Hajime},
   title = {Constructive compact linear mappings},
   journal = {Bull. London Math. Soc.},
   volume = {21},
   year = {1989},
   pages = {577--584},
}

@article{Ish90,
   author = {Ishihara, Hajime},
   title = {An omniscience principle, the {K}{\"{o}}nig lemma and the {H}ahn-{B}anach theorem},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {36},
   year = {1990},
   pages = {237--240},
}

@phdthesis{Ish90a,
   author = {Ishihara, Hajime},
   title = {Boundedness, normability and compactness of constructive linear mappings},
   school = {Tokyo Institute of Technology},
   address = {Tokyo},
   year = {1990},
   month = {mar},
}

@article{Ish91,
   author = {Ishihara, Hajime},
   title = {Constructive compact operators on a {H}ilbert space},
   journal = {Annals of Pure and Applied Logic},
   volume = {52},
   year = {1991},
   pages = {31--37},
}

@article{Ish91a,
   author = {Ishihara, Hajime},
   title = {Continuity and nondiscontinuity in constructive mathematics},
   journal = {The Journal of Symbolic Logic},
   volume = {56},
   number = {4},
   year = {1991},
   pages = {1349--1354},
}

@article{Ish92,
   author = {Ishihara, Hajime},
   title = {Continuity properties in constructive mathematics},
   journal = {The Journal of Symbolic Logic},
   volume = {57},
   number = {2},
   year = {1992},
   pages = {557--565},
}

@article{Ish92a,
   author = {Ishihara, Hajime},
   title = {Constructive existence of {M}inkowski functionals},
   journal = {Proc. Amer. Math. Soc.},
   volume = {116},
   number = {1},
   year = {1992},
   pages = {79--84},
}

@article{Ish93,
   author = {Ishihara, Hajime},
   title = {{M}arkov's principle, {C}hurch's thesis and {L}indel{\"{o}}f's theorem},
   journal = {Indagationes Mathematicae},
   volume = {4},
   year = {1993},
   pages = {321--325},
}

@article{Ish94,
   author = {Ishihara, Hajime},
   title = {A constructive version of {B}anach's inverse mapping theorem},
   journal = {New Zealand Journal of Mathematics},
   volume = {23},
   year = {1994},
   pages = {71--75},
}

@article{Ish97,
   author = {Ishihara, Hajime},
   title = {Sequential continuity of linear mappings in constructive mathematics},
   journal = {Journal of Universal Computer Science},
   volume = {3},
   year = {1997},
   pages = {1250--1254},
}

@article{IV16,
   author = {Iljazovi{\'c}, Zvonko and Valid{\v{z}}i{\'c}, Lucija},
   title = {Maximal computability structures},
   journal = {Bulletin of Symbolic Logic},
   volume = {22},
   number = {04},
   year = {2016},
   month = {12},
   doi = {10.1017/bsl.2016.26},
}

@article{IV17,
   author = {Iljazovi{\'c}, Zvonko and Valid{\v{z}}i{\'c}, Lucija},
   title = {Computable neighbourhoods of points in semicomputable manifolds},
   journal = {Annals of Pure and Applied Logic},
   volume = {168},
   number = {4},
   year = {2017},
   pages = {840--859},
   doi = {10.1016/j.apal.2016.10.015},
}

@article{IV23,
   author = {Iljazovi{\'c}, Zvonko and Valid{\v{z}}i{\'c}, Lucija},
   title = {Effective compactness and orbits of points under the isometry group},
   journal = {Annals of Pure and Applied Logic},
   volume = {174},
   number = {2},
   year = {2023},
   pages = {103198},
   doi = {10.1016/j.apal.2022.103198},
}

@article{IY02,
   author = {Hajime Ishihara and Satoru Yoshida},
   title = {A constructive look at the completeness of the space $\mathcal{D} (\textbf{R})$},
   journal = {Journal of Symbolic Logic},
   volume = {67},
   number = {4},
   year = {2002},
   pages = {1511---1519},
}

@article{JES06,
   author = {De Jaeger, Fr{\'{e}}d{\'{e}}ric and Escard{\'{o}}, Mart{\'{\i}}n and Santini, Gabriele},
   title = {On the computational content of the {L}awson topology},
   journal = {Theoretical Computer Science},
   volume = {357},
   number = {1--3},
   year = {2006},
   pages = {230--240},
}

@article{JR84,
   author = {Julian, William and Richman, Fred},
   title = {A uniformly continuous function on $[0,1]$ that is everywhere different from its infimum},
   journal = {Pacific Journal of Mathematics},
   volume = {111},
   number = {2},
   publisher = {Pacific Journal of Mathematics},
   year = {1984},
   pages = {333--340},
}

@inproceedings{JS20,
   author = {Jakobsen, Sune Kristian and Simonsen, Jakob Grue},
   title = {Liouville Numbers and the Computational Complexity of Changing Bases},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {50--62},
   doi = {https://doi.org/10.1007/978-3-030-51466-2_5},
}

@article{JW13,
   author = {Jafarikhah, Tahereh and Weihrauch, Klaus},
   title = {The {R}iesz representation operator on the dual of {$C[0;1]$} is computable},
   journal = {Journal of Universal Computer Science},
   volume = {19},
   number = {6},
   year = {2013},
   pages = {750--770},
}

@article{JW14,
   author = {Jafarikhah, Tahereh and Weihrauch, Klaus},
   title = {Computable {J}ordan Decomposition of Linear Continuous Functionals on $C[0;1]$},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   year = {2014},
   pages = {3:13,13},
   doi = {10.2168/LMCS-10(3:13)2014},
}

@article{JWZ07,
   author = {Jiang, Wei and Wang, Yuan and Zucker, Jeffery},
   title = {Universality and semicomputability for nondeterministic programming languages over abstract algebras},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {71},
   number = {1},
   year = {2007},
   pages = {44--78},
}

@inproceedings{Kal03,
   author = {Kalantari, Iraj},
   title = {Density \& {B}aire category in recursive topology},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {15--18},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@inproceedings{Kal82,
   author = {Kalantari, Iraj},
   title = {Major subsets in effective topology},
   editor = {Metakides, G.},
   booktitle = {Patras Logic Symposion},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1982},
   pages = {77--94},
   note = {Proc. Logic Sympos. Patras, Greece, Aug. 18--22, 1980},
}

@inproceedings{Kam01,
   author = {Kamo, Hiroyasu},
   title = {Effective Contraction Theorem and Its Application},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {88--100},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Kam05,
   author = {Kamo, Hiroyasu},
   title = {Effective {D}ini's Theorem on Effectively Compact Metric Spaces},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {73--82},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{Kam05a,
   author = {Kamo, Hiroyasu},
   title = {Computability and computable uniqueness of {U}rysohn's universal metric space},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {149--159},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@phdthesis{Kam06,
   author = {Kamo, Hiroyasu},
   title = {Computability in some fundamental theorems in functional analysis and general topology},
   school = {Kyoto University},
   year = {2006},
   doi = {10.14989/doctor.r11863},
}

@inproceedings{Kap01,
   author = {Kapoulas, George},
   title = {Polynomially Time Computable Functions over $p$-Adic Fields},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {101--118},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Kap99a,
   author = {Kapron, Bruce M.},
   title = {Feasibly continuous type-two functionals},
   journal = {Computational Complexity},
   volume = {8},
   number = {2},
   year = {1999},
   pages = {188--201},
}

@inproceedings{Kas03,
   author = {Kashefi, Elham},
   title = {Quantum domain theory -- definitions and applications},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {255--274},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@inproceedings{Kaw05,
   author = {Kawamura, Akitoshi},
   title = {Type-2 Computability and {M}oore's Recursive Functions},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {83--95},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{Kaw09,
   author = {Kawamura, Akitoshi},
   title = {Differential recursion},
   journal = {ACM Transactions on Computational Logic},
   volume = {10},
   number = {3},
   year = {2009},
   pages = {Art. 22, 22},
   doi = {10.1145/1507244.1507252},
}

@inproceedings{Kaw09a,
   author = {Kawamura, Akitoshi},
   title = {Lipschitz continuous ordinary differential equations are polynomial-space complete},
   booktitle = {24th {A}nnual {IEEE} {C}onference on {C}omputational {C}omplexity},
   publisher = {IEEE Computer Soc., Los Alamitos, CA},
   year = {2009},
   pages = {149--160},
   doi = {10.1109/CCC.2009.34},
}

@article{Kaw10,
   author = {Kawamura, Akitoshi},
   title = {{L}ipschitz Continuous Ordinary Differential Equations are Polynomial-Space Complete},
   journal = {Computational Complexity},
   volume = {19},
   number = {2},
   year = {2010},
   pages = {305--332},
   doi = {10.1007/s00037-010-0286-0},
}

@phdthesis{Kaw11,
   author = {Kawamura, Akitoshi},
   title = {Computational Complexity in Analysis and Geometry},
   school = {Department of Computer Science, University of Toronto},
   year = {2011},
   note = {{Ph.D.} thesis},
}

@article{Kaw17,
   author = {Kawai, Tatsuji},
   title = {A point-free characterisation of {B}ishop locally compact metric spaces},
   journal = {Journal of Logic \& Analysis},
   volume = {9},
   number = {c2},
   year = {2017},
   pages = {1--44},
   doi = {10.4115/jla.2017.9.c2},
}

@article{Kaw17a,
   author = {Kawai, Tatsuji},
   title = {Point-free characterisation of {B}ishop compact metric spaces},
   journal = {Journal of Logic \& Analysis},
   volume = {9},
   number = {5},
   year = {2017},
   pages = {1--30},
   doi = {10.4115/jla.2017.9.5},
}

@article{Kaw18,
   author = {Kawai, Tatsuji},
   title = {Formally continuous functions on {B}aire space},
   journal = {Mathematical Logic Quarterly},
   volume = {64},
   number = {3},
   year = {2018},
   pages = {192--200},
   doi = {10.1002/malq.201700015},
}

@inproceedings{KC10,
   author = {Kawamura, Akitoshi and Cook, Stephen},
   title = {Complexity theory for operators in analysis},
   booktitle = {Proceedings of the 42nd ACM Symposium on Theory of Computing},
   series = {STOC '10},
   publisher = {ACM},
   address = {New York},
   year = {2010},
   pages = {495--502},
   doi = {10.1145/1806689.1806758},
}

@article{KC12,
   author = {Kawamura, Akitoshi and Cook, Stephen A.},
   title = {Complexity Theory for Operators in Analysis},
   journal = {{ACM} Transactions on Computation Theory},
   volume = {4},
   number = {2},
   year = {2012},
   pages = {5:1--5:24},
   doi = {10.1145/2189778.2189780},
}

@article{KCG94,
   author = {Koiran, Pascal and Cosnard, Michel and Garzon, Max},
   title = {Computability with low-dimensional dynamical systems},
   journal = {Theoretical Computer Science},
   volume = {132},
   number = {1-2},
   year = {1994},
   pages = {113--128},
   doi = {10.1016/0304-3975(94)90229-1},
}

@article{Kei12,
   author = {Keimel, Klaus},
   title = {Locally convex cones and the {S}chr{\"o}der-{S}impson theorem},
   journal = {Quaestiones Mathematicae},
   volume = {35},
   year = {2012},
   month = {09},
   pages = {353--390},
}

@inproceedings{Kel00,
   author = {Kelsey, Tom},
   title = {Exact Numerical Computation via Symbolic Computation},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {187--197},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@inproceedings{KEL02,
   author = {Khanban, Ali Asghar and Edalat, Abbas and Lieutier, Andr{\'e}},
   title = {Computability of {D}elaunay Triangulation and {V}oronoi Diagram},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@inproceedings{Ken05,
   author = {Kenny, Robert},
   title = {Orbit Complexity and Entropy for Group Endomorphisms},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {97--110},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{Ken15,
   author = {Kenny, Robert},
   title = {Effective zero-dimensionality for computable metric spaces},
   journal = {Logical Methods in Computer Science},
   volume = {11},
   year = {2015},
   pages = {1:11,25},
   doi = {10.2168/LMCS-11(1:11)2015},
}

@article{KF82,
   author = {Ko, Ker-I and Friedman, H.},
   title = {Computational complexity of real functions},
   journal = {Theoretical Computer Science},
   volume = {20},
   year = {1982},
   pages = {323--352},
}

@article{KF88,
   author = {Ko, Ker-I and Friedman, H.},
   title = {Computing power series in polynomial time},
   journal = {Advances in Applied Math.},
   volume = {9},
   year = {1988},
   pages = {40--50},
}

@inproceedings{Kie05,
   author = {Kieu, Tien D.},
   title = {Mathematical computability questions for some classes of linear and non-linear differential equations originated from {H}ilbert's Tenth Problem},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {161--168},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@phdthesis{Kih11,
   author = {Kihara, Takayuki},
   title = {Effectively closed sets and degrees of unsolvability},
   school = {Mathematical Institute, Tohoku University},
   year = {2011},
}

@article{Kih12,
   author = {Kihara, Takayuki},
   title = {Incomputability of simply connected planar continua},
   journal = {Computability},
   volume = {1},
   number = {2},
   year = {2012},
   pages = {131--152},
   doi = {10.3233/COM-12012},
}

@inproceedings{Kih12a,
   author = {Kihara, Takayuki},
   title = {A hierarchy of immunity and density for sets of reals},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {384--394},
}

@article{Kih15,
   author = {Kihara, Takayuki},
   title = {Decomposing {B}orel functions using the {S}hore-{S}laman join theorem},
   journal = {Fundamenta Mathematicae},
   volume = {230},
   year = {2015},
   pages = {1--13},
   doi = {10.4064/fm230-1-1},
}

@article{Kih15a,
   author = {Kihara, Takayuki},
   title = {Comparing the {M}edvedev and {T}uring degrees of $\Pi^0_1$ classes},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1649--1668},
   doi = {10.1017/S0960129513000303},
}

@article{Kih16,
   author = {Kihara, Takayuki},
   title = {{B}orel-piecewise continuous reducibility for uniformization problems},
   journal = {Logical Methods in Computer Science},
   volume = {12},
   number = {4},
   year = {2016},
   month = Oct,
   doi = {10.2168/LMCS-12(4:4)2016},
}

@article{Kih19,
   author = {Kihara, Takayuki},
   title = {On a metric generalization of the {$tt$}-degrees and effective dimension theory},
   journal = {The Journal of Symbolic Logic},
   volume = {84},
   number = {2},
   year = {2019},
   pages = {726--749},
   doi = {10.1017/jsl.2019.18},
}

@article{Kih20a,
   author = {Kihara, Takayuki},
   title = {The {B}rouwer invariance theorems in reverse mathematics},
   journal = {Forum of Mathematics. Sigma},
   volume = {8},
   year = {2020},
   pages = {Paper No. e51, 12},
   doi = {10.1017/fms.2020.52},
}

@article{Kih22,
   author = {Kihara, Takayuki},
   title = {Topological reducibilities for discontinuous functions and their structures},
   journal = {Israel Journal of Mathematics},
   year = {2022},
   doi = {10.1007/s11856-022-2367-6},
}

@article{Kih23,
   author = {Kihara, Takayuki},
   title = {Lawvere-{T}ierney Topologies for Computability Theorists},
   journal = {Transactions of the American Mathematical Society, Series B},
   volume = {10},
   number = {2},
   year = {2023},
   pages = {48--85},
   doi = {10.1090/btran/134},
}

@article{Kjo10,
   author = {Kjos-Hanssen, Bj{\o}rn},
   title = {The probability distribution as a computational resource for randomness testing},
   journal = {Journal of Logic and Analysis},
   volume = {2},
   year = {2010},
   pages = {Paper 10, 13},
}

@inproceedings{KK01,
   author = {Korovina, Margarita V. and Kudinov, Oleg V.},
   title = {Formalisation of Computability of Operators and Real-Valued Functionals via Domain Theory},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {146--168},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{KK01a,
   author = {Korovina, Margarita V. and Kudinov, Oleg V.},
   title = {Semantic Characterisations of Second-Order Computability over the Real Numbers},
   editor = {Fribourg, Laurent},
   booktitle = {Computer Science Logic},
   series = {Lecture Notes in Computer Science},
   volume = {2142},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {160--172},
   note = {15th International Workshop, CSL 2001, 10th Annual Conference of the EACSL, Paris, France, September 10--13, 2001},
}

@inproceedings{KK05,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Towards Computability of Higher Type Continuous Data},
   editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {235--241},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@inproceedings{KK07,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {The Uniformity Principle for {$\Sigma$}-Definability with Applications to Computable Analysis},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {416--425},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@inproceedings{KK08,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Towards Computability over Effectively Enumerable Topological Spaces},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {115--125},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{KK09,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {The Uniformity Principle for {$\Sigma$}-Definability},
   journal = {Journal of Logic and Computation},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {159--174},
}

@article{KK09a,
   author = {Kreuzer, Alexander and Kohlenbach, Ulrich},
   title = {Ramsey's theorem for pairs and provably recursive functions},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {50},
   number = {4},
   year = {2009},
   pages = {427--444 (2010)},
   doi = {10.1215/00294527-2009-019},
}

@article{KK11,
   author = {K{\"o}rnlein, Daniel and Kohlenbach, Ulrich},
   title = {Effective rates of convergence for {L}ipschitzian pseudocontractive mappings in general {B}anach spaces},
   journal = {Nonlinear Anal.},
   volume = {74},
   number = {16},
   year = {2011},
   pages = {5253--5267},
   doi = {10.1016/j.na.2011.04.028},
}

@article{KK12,
   author = {Kreuzer, Alexander P. and Kohlenbach, Ulrich},
   title = {Term extraction and {R}amsey's theorem for pairs},
   journal = {Journal of Symbolic Logic},
   volume = {77},
   number = {3},
   year = {2012},
   pages = {853--895},
   doi = {10.2178/jsl/1344862165},
}

@article{KK13,
   author = {Khan, Muhammad Aqeel Ahmad and Kohlenbach, Ulrich},
   title = {Bounds on {K}uhfittig's iteration schema in uniformly convex hyperbolic spaces},
   journal = {J. Math. Anal. Appl.},
   volume = {403},
   number = {2},
   year = {2013},
   pages = {633--642},
   doi = {10.1016/j.jmaa.2013.02.058},
}

@inproceedings{KK15,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Rice's Theorem in Effectively Enumerable Topological Spaces},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {226--235},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_23},
}

@article{KK15a,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Positive predicate structures for continuous data},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1669--1684},
   doi = {10.1017/S0960129513000315},
}

@inproceedings{KK15b,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Index sets as a measure of continuous constraint complexity},
   editor = {Voronkov, Andrei and Virbitskaite, Irina},
   booktitle = {Perspectives of system informatics},
   series = {Lecture Notes in Computer Science},
   volume = {8974},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2015},
   pages = {201--215},
   note = {9th International Ershov Informatics Conference, PSI 2014, St. Petersburg, Russia, June 24-27, 2014. Revised Selected Papers},
   doi = {10.1007/978-3-662-46823-4_17},
}

@article{KK16,
   author = {Korovina, M. V. and Kudinov, O. V.},
   title = {Spectrum of the field of computable real numbers},
   journal = {Algebra Logic},
   volume = {55},
   number = {6},
   year = {2016},
   pages = {485--500},
   doi = {0.1007/s10469-017-9419-8},
}

@inproceedings{KK17,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {On Higher Effective Descriptive Set Theory},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {282--291},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_27},
}

@inproceedings{KK17a,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Outline of Partial Computability in Computable Topology},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {64--76},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_7},
}

@article{KK17b,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Computable elements and functions in effectively enumerable topological spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1466--1494},
   doi = {10.1017/S0960129516000141},
}

@article{KK17c,
   author = {Korovina, M. V. and Kudinov, O. V.},
   title = {On images of partial computable functions over computable {P}olish spaces},
   journal = {Sib. {\`E}lektron. Mat. Izv.},
   volume = {14},
   year = {2017},
   pages = {418--432},
   doi = {DOI 10.17377/semi.2017.14.035},
}

@article{KK17d,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {The {R}ice-{S}hapiro theorem in computable topology},
   journal = {Logical Methods in Computer Science},
   volume = {13},
   number = {4},
   year = {2017},
   pages = {Paper No. 30, 13},
}

@article{KK18,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Complexity for partial computable functions over computable {P}olish spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {28},
   number = {3},
   year = {2018},
   pages = {429--447},
   doi = {10.1017/S0960129516000438},
}

@inproceedings{KK18a,
   author = {Korovina, Margarita and Kudinov, Oleg},
   title = {Weak Reduction Principle and Computable Metric Spaces},
   editor = {Manea, Florin and Miller, Russell G. and Nowotka, Dirk},
   booktitle = {Sailing Routes in the World of Computation},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {234--243},
   doi = {10.1007/978-3-319-94418-0_24},
}

@inproceedings{KK76,
   author = {Kanovi\v{c}, M.I. and Kushner, B.A.},
   title = {Complexity of algorithms, and {S}pecker sequences ({R}ussian)},
   booktitle = {Studies in the {T}heory of {A}lgorithms and {M}athematical {L}ogic},
   volume = {Vol. 2},
   publisher = {Vy\v{c}isl. Centr. Akad. Nauk SSSR},
   year = {1976},
   pages = {77--63,160},
}

@article{KK78,
   author = {Ku\v{c}era , A. and and Kushner, B.},
   title = {A type of recursive isomorphism of certain concepts of constructive analysis ({R}ussian)},
   journal = {Comment. Math. Univ. Carolin{\ae}},
   volume = {19},
   year = {1978},
   pages = {97--105},
}

@inproceedings{KK98,
   author = {Korovina, M.V. and Kudinov, O.V.},
   title = {Majorant-computability and definability over the reals},
   editor = {Chesneaux, J.-M. and J\'{e}z\'{e}quel, F. and Lamotte, J.-L. and Vignes, J.},
   booktitle = {Third Real Numbers and Computers Conference},
   publisher = {Universit\'{e} Pierre et Marie Curie, Paris},
   year = {1998},
   pages = {61--80},
   note = {Paris, France, April 27--29, 1998},
}

@article{KK98a,
   author = {Korovina, M.V. and Kudinov, O.V.},
   title = {A new approach to computability over the reals},
   journal = {Siberian Advances in Mathematics},
   volume = {8},
   number = {3},
   year = {1998},
   pages = {59--73},
}

@article{KK99,
   author = {Kamo, Hiroyasu and Kawamura, Kiko},
   title = {Computability of Self-Similar Sets},
   journal = {Mathematical Logic Quarterly},
   volume = {45},
   year = {1999},
   pages = {23--30},
}

@inproceedings{KK99a,
   author = {Korovina, M.V. and Kudinov, O.V.},
   title = {Some properties of majorant-computability},
   editor = {Arslanov, Marat M. and Lempp, Steffen},
   booktitle = {Recursion Theory and Complexity},
   series = {Logic and Its Applications},
   volume = {2},
   publisher = {de Gruyter},
   address = {Berlin},
   year = {1999},
   pages = {97--114},
   note = {Proceedings of the Kazan Workshop, Kazan, Russia, July 14--19, 1997},
}

@inproceedings{KK99b,
   author = {Korovina, M.V. and Kudinov, O.V.},
   title = {Characteristic properties of majorant-computability over the reals},
   editor = {Gottlob, Georg and Grandjean, Etienne and Seyr, Katrin},
   booktitle = {Computer Science Logic},
   series = {Lecture Notes in Computer Science},
   volume = {1584},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {188--203},
   note = {Proceedings of the 12th International Workshop (CSL '98) (7th Annual Conference of the European Association for Computer Science Logic (EACSL)) held in Brno, August 24--28, 1998},
}

@article{KKT01,
   author = {Kamo, Hiroyasu and Kawamura, Kiko and Takeuti, Izumi},
   title = {Computational complexity of fractal sets},
   journal = {Real Analysis Exchange},
   volume = {26},
   number = {2},
   year = {2000/01},
   pages = {773--793},
}

@inproceedings{KKT98,
   author = {Kamo, Hiroyasu and Kawamura, Kiko and Takeuti, Izumi},
   title = {Hausdorff Dimension and Computational Complexity},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {41--50},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{KL03,
   author = {Kohlenbach, Ulrich and Leu{\c{s}}tean, Lauren{\c{t}}iu},
   title = {Mann iterates of directionally nonexpansive mappings in hyperbolic spaces},
   journal = {Abstract and Applied Analysis},
   volume = {2003},
   number = {8},
   year = {2003},
   pages = {449--477},
}

@inproceedings{KL03a,
   author = {Kreinovich, Vladik and Longpr\'{e}, Luc},
   title = {Computational complexity and feasibility of data processing and interval computations, with extension to cases when we have partial information about probabilities},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {19--54},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{KL04,
   author = {Kreinovich, Vladik and Longpr\'{e}, Luc},
   title = {Fast quantum algorithms for handling probabilistic and interval uncertainty},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {405--416},
}

@inproceedings{KL04a,
   author = {Kohlenbach, Ulrich and Lambov, Branimir},
   title = {Bounds on iterations of asymptotically quasi-nonexpansive mappings},
   editor = {Falset, J.G. and Fuster, E.L. and Sims, B.},
   booktitle = {Proceedings of the International Conference on Fixed Point Theory and Applications},
   publisher = {Yokohama Publishers},
   year = {2004},
   pages = {143--172},
   note = {Valencia 2003},
}

@article{KL07,
   author = {Kohlenbach, Ulrich and Leu{\c{s}}tean, Lauren{\c{t}}iu},
   title = {The approximate fixed point property in product spaces},
   journal = {Nonlinear Analysis},
   volume = {66},
   year = {2007},
   pages = {806--818},
}

@article{KL09,
   author = {Kohlenbach, U. and Leu{\c{s}}tean, L.},
   title = {A quantitative mean ergodic theorem for uniformly convex {B}anach spaces},
   journal = {Ergodic Theory and Dynamical Systems},
   volume = {29},
   number = {6},
   year = {2009},
   pages = {1907--1915},
   doi = {10.1017/S0143385708001004},
}

@article{KL10,
   author = {Kohlenbach, U. and Leu{\c{s}}tean, L.},
   title = {Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces},
   journal = {J. Eur. Math. Soc. (JEMS)},
   volume = {12},
   number = {1},
   year = {2010},
   pages = {71--92},
   doi = {10.4171/JEMS/190},
}

@article{KL12,
   author = {Kohlenbach, U. and Leu{\c{s}}tean, L.},
   title = {On the computational content of convergence proofs via {B}anach limits},
   journal = {Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.},
   volume = {370},
   number = {1971},
   year = {2012},
   pages = {3449--3463},
   doi = {10.1098/rsta.2011.0329},
}

@article{KL12a,
   author = {Kohlenbach, U. and Leu{\c{s}}tean, L.},
   title = {Effective metastability of {H}alpern iterates in {CAT}(0) spaces},
   journal = {Adv. Math.},
   volume = {231},
   number = {5},
   year = {2012},
   pages = {2526--2556},
   doi = {10.1016/j.aim.2012.06.028},
}

@article{KL57,
   author = {Kreisel, Georg and Lacombe, Daniel},
   title = {Ensembles r\'{e}cursivement mesurables et ensembles r\'{e}cursivement ouverts et ferm\'{e}s},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {245},
   year = {1957},
   pages = {1106--1109},
}

@article{KL82,
   author = {Kalantari, I. and Leggett, A.},
   title = {Simplicity in effective topology},
   journal = {The Journal of Symbolic Logic},
   volume = {47},
   year = {1982},
   pages = {169--183},
}

@article{KL83,
   author = {Kalantari, I. and Leggett, A.},
   title = {Maximality in effective topology},
   journal = {The Journal of Symbolic Logic},
   volume = {48},
   year = {1983},
   pages = {100--112},
}

@article{Kla56,
   author = {Klaua, Dieter},
   title = {Berechenbare {A}nalysis},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {2},
   year = {1956},
   pages = {265--303},
}

@phdthesis{Kla58,
   author = {Klaua, Dieter},
   title = {Berechenbare Analysis},
   school = {Humboldt Universität Berlin},
   address = {Berlin},
   year = {1958},
   month = {February},
}

@article{Kla59,
   author = {Klaua, Dieter},
   title = {Die {P}r\"azisierung des {B}erechenbarkeitsbegriffes in der {A}nalysis mit {H}ilfe rationaler {F}unktionale},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {5},
   year = {1959},
   pages = {33--96},
}

@article{Kla60,
   author = {Klaua, Dieter},
   title = {Berechenbare {R}eihen},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {6},
   year = {1960},
   pages = {143--161},
}

@book{Kla61,
   author = {Klaua, Dieter},
   title = {Konstruktive {A}nalysis},
   publisher = {Deutscher Verlag der Wissenschaften},
   address = {Berlin},
   year = {1961},
}

@inproceedings{Kla94,
   author = {Klaua, Dieter},
   title = {Rational and real ordinal numbers},
   booktitle = {Real Numbers, Generalizations of the Reals, and Theories of Continua},
   series = {Synthese Lib.},
   volume = {242},
   year = {1994},
   pages = {259--276},
}

@article{KLL99,
   author = {Khalouani, Mohamed and Labhalla, Salah and Lombardi, Henri},
   title = {\'Etude constructive de probl\`emes de topologie pour les r\'eels irrationnels},
   journal = {Mathematical Logic Quarterly},
   volume = {45},
   number = {2},
   year = {1999},
   pages = {257--288},
}

@article{KLS57,
   author = {Kreisel, G. and Lacombe, D. and Shoenfield, J.R.},
   title = {Fonctionnelles r\'ecursivement d\'efinissables et fonctionnelles r\'ecursives},
   journal = {C.R. Acad. Sci. Paris},
   volume = {245},
   year = {1957},
   pages = {399--402},
}

@inproceedings{KLS59,
   author = {Kreisel, G. and Lacombe, D. and Shoenfield, J.R.},
   title = {Partial recursive functionals and effective operations},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {290--297},
   note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957},
}

@article{KM14,
   author = {Kihara, Takayuki and Miyabe, Kenshi},
   title = {Uniform {K}urtz randomness},
   journal = {Journal of Logic and Computation},
   volume = {24},
   number = {4},
   year = {2014},
   pages = {863--882},
   doi = {10.1093/logcom/ext054},
}

@article{KM15,
   author = {Kihara, Takayuki and Miyabe, Kenshi},
   title = {Unified characterizations of lowness properties via {K}olmogorov complexity},
   journal = {Archive for Mathematical Logic},
   volume = {54},
   number = {3-4},
   year = {2015},
   pages = {329--358},
   doi = {10.1007/s00153-014-0413-8},
}

@article{KM16,
   author = {Kaushik, S.K. and Mantry, Poonam},
   title = {Computable Frames in Computable {B}anach Spaces},
   journal = {International Journal of Analysis and Applications},
   volume = {11},
   number = {2},
   year = {2016},
   pages = {93--100},
}

@article{KM19,
   author = {Kihara, Takayuki and Montalb\'{a}n, Antonio},
   title = {On the structure of the {W}adge degrees of bqo-valued {B}orel functions},
   journal = {Transactions of the American Mathematical Society},
   volume = {371},
   number = {11},
   year = {2019},
   pages = {7885--7923},
   doi = {10.1090/tran/7621},
}

@inproceedings{KM82,
   author = {Kreisel, G. and Macintyre, A.},
   title = {Constructive logic versus algebraization, {I}},
   editor = {Troelstra, A.S. and van Dalen, D.},
   booktitle = {The L. E. J. Brouwer Centenary Sympos.},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {110},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1982},
   pages = {217--260},
   note = {(Noordwijkerhout, June 8--13, 1981)},
}

@article{KM99,
   author = {Koiran, Pascal and Moore, Christopher},
   title = {Closed-form analytic maps in one and two dimensions can simulate universal {T}uring machines},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {217--223},
}

@article{KMMS20,
   author = {Kumabe, Masahiro and Miyabe, Kenshi and Mizusawa, Yuki and Suzuki, Toshio},
   title = {Solovay reducibility and continuity},
   journal = {Journal of Logic and Analysis},
   volume = {12},
   year = {2020},
   pages = {Paper No. 2, 22},
   doi = {10.4115/jla.2020.12.2},
}

@article{KMP20,
   author = {Kihara, Takayuki and Marcone, Alberto and Pauly, Arno},
   title = {Searching for an analogue of {$ATR_0$} in the {W}eihrauch lattice},
   journal = {Journal of Symbolic Logic},
   volume = {85},
   number = {3},
   year = {2020},
   pages = {1006--1043},
   doi = {10.1017/jsl.2020.12},
}

@article{KMRZ15,
   author = {Kawamura, Akitoshi and M{\"u}ller, Norbert and R{\"o}snick, Carsten and Ziegler, Martin},
   title = {Computational benefit of smoothness: parameterized bit-complexity of numerical operators on analytic functions and {G}evrey's hierarchy},
   journal = {Journal of Complexity},
   volume = {31},
   number = {5},
   year = {2015},
   pages = {689--714},
   doi = {10.1016/j.jco.2015.05.001},
}

@inproceedings{KMT10,
   author = {Kawamura, Akitoshi and Matou{\v{s}}ek, Ji{\v{r}}{\'{\i}} and Tokuyama, Takeshi},
   title = {Zone diagrams in {E}uclidean spaces and in other normed spaces},
   booktitle = {Computational geometry ({SCG}'10)},
   publisher = {ACM},
   address = {New York},
   year = {2010},
   pages = {216--221},
   doi = {10.1145/1810959.1810997},
}

@article{KMT12,
   author = {Kawamura, Akitoshi and Matou{\v{s}}ek, Ji{\v{r}}{\'{\i}} and Tokuyama, Takeshi},
   title = {Zone diagrams in {E}uclidean spaces and in other normed spaces},
   journal = {Math. Ann.},
   volume = {354},
   number = {4},
   year = {2012},
   pages = {1201--1221},
   doi = {10.1007/s00208-011-0761-1},
}

@incollection{KN07,
   author = {Kjos-Hanssen, Bj{\o}rn and Nerode, Anil},
   title = {The law of the iterated logarithm for algorithmically random {B}rownian motion},
   editor = {Artemov, Sergei N. and Nerode, Anil},
   booktitle = {Logical Foundations of Computer Science},
   series = {Lecture Notes in Computer Science},
   volume = {4514},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {310--317},
   note = {{P}roceedings of the {I}nternational {S}ymposium ({LFCS} 2007) held at the {C}ity {U}niversity of {N}ew {Y}ork, {N}ew {Y}ork, {J}une 4--7, 2007},
   doi = {10.1007/978-3-540-72734-7_22},
}

@article{KN09,
   author = {Kjos-Hanssen, Bj{\o}rn and Nerode, Anil},
   title = {Effective dimension of points visited by {B}rownian motion},
   journal = {Theoretical Computer Science},
   volume = {410},
   number = {4-5},
   year = {2009},
   pages = {347--354},
   doi = {10.1016/j.tcs.2008.09.045},
}

@article{KN21,
   author = {Kone{\v{c}}n{\'{y}}, Michal and Neumann, Eike},
   title = {Representations and evaluation strategies for feasibly approximable functions },
   journal = {Computability},
   volume = {10},
   number = {1},
   year = {2021},
   pages = {63--89},
   doi = {10.3233/COM-180234},
}

@article{KNP15,
   author = {Ku\v{c}era, Anton{\'\i}n and Nies, Andr\'{e} and Porter, Christopher P.},
   title = {{D}emuth's Path to Randomness},
   journal = {The Bulletin of Symbolic Logic},
   volume = {21},
   number = {3},
   year = {2015},
   pages = {270--305},
   doi = {10.1017/bsl.2015.24},
}

@article{KNR14,
   author = {Kjos-Hanssen, Bj{\o}rn and Nguyen, Paul Kim Long V. and Rute, Jason},
   title = {Algorithmic randomness for {D}oob's martingale convergence theorem in continuous time},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   number = {4:12},
   year = {2014},
   pages = {1--35},
   doi = {10.2168/LMCS-10(4:12)2014},
}

@inproceedings{KNS03,
   author = {Kjos-Hanssen, Bj{\o}rn and Nies, Andr\'{e} and Stephan, Frank},
   title = {On a question of {A}mbos-{S}pies and {K}u\v{c}era},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {275--278},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@proceedings{KNW02,
   title = {Computability and Complexity in Analysis},
   editor = {Ko, Ker-I and Nerode, Anil and Weihrauch, Klaus},
   series = {Theoretical Computer Science},
   volume = {284(2)},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
}

@article{KO03,
   author = {Kohlenbach, Ulrich and Oliva, Paulo},
   title = {Proof mining in $L_1$-approximation},
   journal = {Annals of Pure and Applied Logic},
   volume = {121},
   year = {2003},
   pages = {1--38},
}

@inproceedings{Ko03a,
   author = {Ko, Ker-I},
   title = {Computational Complexity of Fractals},
   editor = {Downey, Rod and Decheng, Ding and Ping, Tung Shih and Hui, Qiu Yu and Yasugi, Mariko},
   booktitle = {Proceedings of the 7th and 8th Asian Logic Conferences},
   publisher = {World Scientific},
   address = {Singapore},
   year = {2003},
   pages = {252--269},
   note = {7th Conference: Hsi-Tou, Taiwan, June 6--10, 1999; 8th Conference: Chongqing, China, August 29 -- September 2, 2002},
}

@article{Ko13,
   author = {Ko, Ker-I},
   title = {On the complexity of computing the {H}ausdorff distance},
   journal = {J. Complexity},
   volume = {29},
   number = {3-4},
   year = {2013},
   pages = {248--262},
   doi = {10.1016/j.jco.2013.03.002},
}

@inproceedings{KO14,
   author = {Kawamura, Akitoshi and Ota, Hiroyuki},
   title = {Small complexity classes for computable analysis},
   booktitle = {Mathematical foundations of computer science 2014. {P}art {II}},
   series = {Lecture Notes in Comput. Sci.},
   volume = {8635},
   publisher = {Springer, Heidelberg},
   year = {2014},
   pages = {432--444},
   doi = {10.1007/978-3-662-44465-8_37},
}

@article{Ko82,
   author = {Ko, Ker-I},
   title = {The maximum value problem and {N}{P} real numbers},
   journal = {Journal of Computer and Systems Sciences},
   volume = {24},
   year = {1982},
   pages = {15--35},
}

@article{Ko82a,
   author = {Ko, Ker-I},
   title = {Some negative results on the computational complexity of total variation and differentiation},
   journal = {Inform. Contr.},
   volume = {53},
   year = {1982},
   pages = {21--31},
}

@article{Ko83,
   author = {Ko, Ker-I},
   title = {On the computational complexity of ordinary differential equations},
   journal = {Inform. Contr.},
   volume = {58},
   year = {1983},
   pages = {157--194},
}

@article{Ko83a,
   author = {Ko, Ker-I},
   title = {On the definitions of some complexity classes of real numbers},
   journal = {Math. Systems Theory},
   volume = {16},
   year = {1983},
   pages = {95--109},
}

@article{Ko84,
   author = {Ko, Ker-I},
   title = {Reducibilities on real numbers},
   journal = {Theoretical Computer Science},
   volume = {31},
   year = {1984},
   pages = {101--123},
}

@article{Ko85,
   author = {Ko, Ker-I},
   title = {Continuous optimization problems and a polynomial hierarchy of real functions},
   editor = {Traub, J.F.},
   journal = {Journal of Complexity},
   volume = {1},
   year = {1985},
   pages = {210--231},
   note = {(Special issue: Complexity of Approximating Solved Problems, Papers from Sympos. Columbia Univ., Morningside Heights, NY, Apr. 17--19, 1985)},
}

@article{Ko86,
   author = {Ko, Ker-I},
   title = {Approximation to measurable functions and its relation to probabilistic computation},
   journal = {Annals of Pure and Applied Logic},
   volume = {30},
   year = {1986},
   pages = {173--200},
}

@article{Ko86a,
   author = {Ko, Ker-I},
   title = {On the computational complexity of best {C}hebyshev approximations},
   journal = {Journal of Complexity},
   volume = {2},
   year = {1986},
   pages = {95--120},
}

@article{Ko86b,
   author = {Ko, Ker-I},
   title = {On the continued fraction representation of computable real numbers},
   journal = {Theoretical Computer Science},
   volume = {47},
   year = {1986},
   pages = {299--313},
   note = {corr. ibid., Vol. 54 (1987), Pages 341--343},
}

@article{Ko87,
   author = {Ko, Ker-I},
   title = {Corrigenda: ``{O}n the continued fraction representation of computable real numbers''},
   journal = {Theoretical Computer Science},
   volume = {54},
   number = {2-3},
   year = {1987},
   pages = {341--343},
   doi = {10.1016/0304-3975(87)90139-3},
}

@inproceedings{Ko90,
   author = {Ko, Ker-I},
   title = {Inverting a one-to-one real function is inherently sequential},
   editor = {Buss, S. and Scott, P.J.},
   booktitle = {Feasible Mathematics},
   journal = {Progr. Comput. Sci. Appl. Logic},
   volume = {9},
   year = {1990},
   pages = {239--257},
   note = {(Proc. Workshop, June 16--18, 1989, Cornell Univ. Ithaca, NY)},
}

@book{Ko91,
   author = {Ko, Ker-I},
   title = {Complexity Theory of Real Functions},
   series = {Progress in Theoretical Computer Science},
   publisher = {Birkh\"auser},
   address = {Boston},
   year = {1991},
}

@article{Ko92,
   author = {Ko, Ker-I},
   title = {On the computational complexity of integral equations},
   journal = {Annals of Pure and Applied Logic},
   volume = {58},
   year = {1992},
   pages = {201--228},
}

@inproceedings{Ko95,
   author = {Ko, Ker-I},
   title = {Recent progress on complexity theory of real functions},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {83--90},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@article{Ko95a,
   author = {Ko, Ker-I},
   title = {A polynomial-time computable curve whose interior has a nonrecursive measure},
   journal = {Theoretical Computer Science},
   volume = {145},
   year = {1995},
   pages = {241--270},
}

@article{Ko95b,
   author = {Ko, Ker-I},
   title = {Computational complexity of fixed points and intersection points},
   journal = {Journal of Complexity},
   volume = {11},
   year = {1995},
   pages = {265--292},
}

@inproceedings{Ko96,
   author = {Ko, Ker-I},
   title = {Fractals and complexity},
   editor = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   publisher = {Universit\"at Trier},
   year = {1996},
   pages = {43--48},
   note = {Second CCA Workshop, Trier, August 22--23, 1996},
}

@article{Ko98,
   author = {Ko, Ker-I},
   title = {On the computability of fractal dimensions and {H}ausdorff measure},
   journal = {Annals of Pure and Applied Logic},
   volume = {93},
   year = {1998},
   pages = {195--216},
}

@inproceedings{Ko98a,
   author = {Ko, Ker-I},
   title = {Polynomial-Time Computability in Analysis},
   editor = {Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel, J.B.},
   booktitle = {Handbook of Recursive Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {139},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {1998},
   pages = {1271--1317},
   note = {Volume 2, Recursive Algebra, Analysis and Combinatorics},
}

@article{Kob07,
   author = {K{\o}ber, Petter K.},
   title = {Uniform domain representations of $\ell_p$--spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {180},
   number = {2},
   year = {2007},
   pages = {180--205},
}

@article{Koh00a,
   author = {Kohlenbach, Ulrich},
   title = {Things that can and things that cannot be done in {PRA}},
   journal = {Annals of Pure and Applied Logic},
   volume = {102},
   year = {2000},
   pages = {223--245},
}

@inproceedings{Koh01,
   author = {Kohlenbach, Ulrich},
   title = {On the Computational Content of the {K}rasnoselski and {I}shikawa Fixed Point Theorems},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {119--145},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Koh01b,
   author = {Kohlenbach, Ulrich},
   title = {A quantitative version of a theorem due to {B}orwein-{R}eich-{S}hafrir},
   journal = {Numerical Functional Analysis and Optimization},
   volume = {22},
   number = {5},
   year = {2001},
   pages = {641--656},
}

@article{Koh02,
   author = {Kohlenbach, Ulrich},
   title = {On uniform weak {K}{\"{o}}nig's lemma},
   journal = {Annals of Pure and Applied Logic},
   volume = {114},
   year = {2002},
   pages = {103--116},
}

@article{Koh02a,
   author = {Kohlenbach, Ulrich},
   title = {On Weak {M}arkov's Principle},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {59--65},
}

@article{Koh03,
   author = {Kohlenbach, Ulrich},
   title = {Uniform asymptotic regularity for {M}ann iterates},
   journal = {Journal of Mathematical Analysis and Applications},
   volume = {279},
   year = {2003},
   pages = {531--544},
}

@article{Koh05,
   author = {Kohlenbach, Ulrich},
   title = {Some logical metatheorems with applications in functional analysis},
   journal = {Transactions of the American Mathematical Society},
   volume = {357},
   year = {2005},
   pages = {89--128},
}

@article{Koh05a,
   author = {Kohlenbach, Ulrich},
   title = {Some computational aspects of metric fixed point theory},
   journal = {Nonlinear Analysis},
   volume = {61},
   year = {2005},
   pages = {823--837},
}

@inproceedings{Koh05b,
   author = {Kohlenbach, Ulrich},
   title = {Higher order reverse mathematics},
   editor = {Simpson, Stephen G.},
   booktitle = {Reverse Mathematics 2001},
   series = {Lecture Notes in Logic},
   volume = {21},
   publisher = {A K Peters},
   address = {Wellesley},
   year = {2005},
   pages = {281--295},
   doi = {10.1017/9781316755846.018},
}

@inproceedings{Koh06,
   author = {Kohlenbach, Ulrich},
   title = {A Logical Uniform Boundedness Principle for Abstract Metric and Hyperbolic Spaces},
   editor = {Mints, Grigori and de Queiroz, Ruy},
   booktitle = {Logic, Language, Information and Computation},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {165},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2006},
   pages = {81--93},
   note = {{WoLLIC} 2006, 13th Workshop on Logic, Language, Information and Computation, Stanford University, CA, USA, 18-21 July 2006},
}

@article{Koh07,
   author = {Kohlenbach, Ulrich},
   title = {Proof interpretations and the computational content of proofs in mathematics},
   journal = {Bulletin of the EATCS},
   volume = {93},
   year = {2007},
   pages = {143--173},
}

@inproceedings{Koh08,
   author = {Kohlenbach, Ulrich},
   title = {Effective bounds from proofs in abstract functional analysis},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {New Computational Paradigms: Changing Conceptions of What Is Computable},
   publisher = {Springer},
   address = {New York},
   year = {2008},
   pages = {223--258},
}

@book{Koh08a,
   author = {Kohlenbach, Ulrich},
   title = {Applied Proof Theory: Proof Interpretations and Their Use in Mathematics},
   publisher = {Springer},
   address = {Berlin},
   year = {2008},
}

@incollection{Koh10,
   author = {Kohlenbach, Ulrich},
   title = {On the logical analysis of proofs based on nonseparable {H}ilbert space theory},
   booktitle = {Proofs, categories and computations},
   series = {Tributes},
   volume = {13},
   publisher = {Coll. Publ., London},
   year = {2010},
   pages = {131--143},
}

@article{Koh11,
   author = {Kohlenbach, Ulrich},
   title = {On quantitative versions of theorems due to {F}. {E}. {B}rowder and {R}. {W}ittmann},
   journal = {Adv. Math.},
   volume = {226},
   number = {3},
   year = {2011},
   pages = {2764--2795},
   doi = {10.1016/j.aim.2010.10.002},
}

@article{Koh11a,
   author = {Kohlenbach, Ulrich},
   title = {On the asymptotic behavior of odd operators},
   journal = {J. Math. Anal. Appl.},
   volume = {382},
   number = {2},
   year = {2011},
   pages = {615--620},
   doi = {10.1016/j.jmaa.2011.04.065},
}

@article{Koh12,
   author = {Kohlenbach, Ulrich},
   title = {A uniform quantitative form of sequential weak compactness and {B}aillon's nonlinear ergodic theorem},
   journal = {Commun. Contemp. Math.},
   volume = {14},
   number = {1},
   year = {2012},
   pages = {1250006, 20},
   doi = {10.1142/S021919971250006X},
}

@article{Koh12a,
   author = {Kohlenbach, Ulrich},
   title = {G\"odel functional interpretation and weak compactness},
   journal = {Ann. Pure Appl. Logic},
   volume = {163},
   number = {11},
   year = {2012},
   pages = {1560--1579},
   doi = {10.1016/j.apal.2011.12.009},
}

@article{Koh15,
   author = {Kohlenbach, Ulrich},
   title = {On the Disjunctive {M}arkov Principle},
   journal = {Studia Logica},
   volume = {103},
   number = {6},
   year = {2015},
   pages = {1313--1317},
}

@article{Koh19,
   author = {Kohlenbach, Ulrich},
   title = {On the reverse mathematics and {W}eihrauch complexity of moduli of regularity and uniqueness},
   journal = {Computability},
   volume = {8},
   number = {3, 4},
   year = {2019},
   pages = {377--387},
   doi = {10.3233/COM-180097},
}

@article{Koh21,
   author = {Kohlenbach, Ulrich},
   title = {Proof-theoretic uniform boundedness and bounded collection principles and countable {H}eine–{B}orel compactness},
   journal = {Archive for Mathematical Logic},
   volume = {60},
   number = {7--8},
   year = {2021},
   pages = {995--1003},
   doi = {10.1007/s00153-021-00771-w},
}

@article{Koh93,
   author = {Kohlenbach, Ulrich},
   title = {Effective moduli from ineffective uniqueness proofs. An unwinding of de {L}a {V}all\'{e} {P}oussin's proof for {C}hebycheff approximation},
   journal = {Annals of Pure and Applied Logic},
   volume = {64},
   year = {1993},
   pages = {27-94},
}

@article{Koh93a,
   author = {Kohlenbach, Ulrich},
   title = {New effective moduli of uniqueness and uniform a priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory},
   journal = {Numer. Funct. Anal. and Optimiz.},
   volume = {14},
   year = {1993},
   pages = {581-606},
}

@inproceedings{Koh96,
   author = {Kohlenbach, Ulrich},
   title = {Analysing Proofs in Analysis},
   editor = {Hodges, Wilfried and Hyland, Martin and Steinhorn, Charles and Truss, John},
   booktitle = {Logic: from Foundations to Applications},
   publisher = {Clarendon Press},
   address = {Oxford},
   year = {1996},
   pages = {225--260},
   note = {European Logic Colloquium},
}

@inproceedings{Koh97,
   author = {Kohlenbach, Ulrich},
   title = {Arithmetizing proofs in analysis},
   editor = {Larrazabal, J.M. and Lascar, D. and Mints, G.},
   booktitle = {Logic Colloquium '96},
   series = {Lecture Notes in Logic},
   volume = {12},
   publisher = {Springer},
   address = {Berlin},
   year = {1997},
   pages = {115--158},
   note = {Proceedings of the Colloquium held in Sebasti\'{a}n, Spain, July 9--15, 1996},
}

@article{Koh98,
   author = {Kohlenbach, Ulrich},
   title = {Proof theory and computational analysis},
   journal = {Electronic Notes in Theoretical Computer Science},
   volume = {13},
   year = {1998},
   pages = {1--34},
}

@inproceedings{Koh99,
   author = {Kohlenbach, Ulrich},
   title = {The use of a logical principle of uniform boundedness in analysis},
   editor = {Cantini, A. and Casari, E. and Minari, P.},
   booktitle = {Logic and Foundations of Mathematics},
   series = {Synthese Library},
   volume = {280},
   publisher = {Kluwer Academic Publishers},
   year = {1999},
   pages = {93--106},
}

@article{Kol25,
   author = {Kolmogorov, Andrei N.},
   title = {On the principle of tertium non datur ({R}ussian)},
   journal = {Mat. Sb.},
   volume = {32},
   year = {1925},
   pages = {646--667},
   note = {[translated in: From Frege to G\"odel: A Source Book in Logic, 1879--1931, J. van Heijenroot, (ed.), (Harvard Univ. Press, Cambridge, Mass. and Oxford Univ. Press, London, 1967) 414--437]},
}

@phdthesis{Kon00,
   author = {Kone{\v{c}}n{\'{y}}, Michal},
   title = {Many-Valued Real Functions Computable by Finite Transducers using IFS-Representations},
   school = {School of Computer Science, University of Birmingham},
   address = {Birmingham},
   year = {2000},
}

@article{Kon02,
   author = {Kone{\v{c}}n{\'{y}}, Michal},
   title = {Real functions computable by finite automata using affine representations},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {373--396},
}

@article{Kon04,
   author = {Kone{\v{c}}n{\'{y}}, Michal},
   title = {Real functions incrementally computable by finite automata},
   journal = {Theoretical Computer Science},
   volume = {315},
   year = {2004},
   pages = {109--133},
}

@inproceedings{Kor02,
   author = {Korovina, Margarita V.},
   title = {Fixed Points on the Real Numbers without the Equality Test},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{Kor17,
   author = {Kornev, R. A.},
   title = {Reducibility of computable metrics on the real line},
   journal = {Algebra Logic},
   volume = {56},
   number = {4},
   year = {2017},
   pages = {302--317},
   doi = {0.1007/s10469-017-9451-8},
}

@article{Kor21,
   author = {Kornev, R. A.},
   title = {A semilattice of degrees of computable metrics},
   journal = {Siberian Mathematical Journal},
   volume = {62},
   number = {5},
   year = {2021},
   pages = {822--841},
   note = {Translation of Sibirsk. Mat. Zh. {\bf 62} (2021), no. 5, 1013--1038.},
   doi = {10.1134/s0037446621050050},
}

@article{Kor22,
   author = {Kornev, R. A.},
   title = {Computable reducibility of metrics on the reals},
   journal = {Algebra and Logic},
   volume = {61},
   number = {1},
   year = {2022},
   pages = {71--78},
   note = {Translation of Algebra Logika {\bf 61} (2022), no. 1, 98--110.},
   doi = {10.1007/s10469-022-09676-w},
}

@article{Kor92,
   author = {Korovina, M.V.},
   title = {Generalized computability of real functions},
   journal = {Siberian Advances in Mathematics},
   volume = {2},
   number = {4},
   year = {1992},
   pages = {85--103},
}

@inproceedings{KORZ12,
   author = {Kawamura, Akitoshi and Ota, Hiroyuki and R{\"o}snick, Carsten and Ziegler, Martin},
   title = {Computational complexity of smooth differential equations},
   booktitle = {Mathematical foundations of computer science 2012},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7464},
   publisher = {Springer, Heidelberg},
   year = {2012},
   pages = {578--589},
   doi = {10.1007/978-3-642-32589-2_51},
}

@article{KORZ14,
   author = {Kawamura, Akitoshi and Ota, Hiroyuki and R{\"o}snick, Carsten and Ziegler, Martin},
   title = {Computational Complexity of Smooth Differential Equations},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   year = {2014},
   pages = {1:6,15},
   doi = {10.2168/LMCS-10(1:6)2014},
}

@inproceedings{KP14a,
   author = {Kawamura, Akitoshi and Pauly, Arno},
   title = {Function spaces for second-order polynomial time},
   booktitle = {Language, life, limits},
   series = {Lecture Notes in Comput. Sci.},
   volume = {8493},
   publisher = {Springer, Cham},
   year = {2014},
   pages = {245--254},
   doi = {10.1007/978-3-319-08019-2_25},
}

@inproceedings{KP16a,
   author = {Kihara, Takayuki and Pauly, Arno},
   title = {Dividing by Zero - How Bad Is It, Really?},
   editor = {Faliszewski, Piotr and Muscholl, Anca and Niedermeier, Rolf},
   booktitle = {41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {58},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2016},
   pages = {58:1--58:14},
   doi = {10.4230/LIPIcs.MFCS.2016.58},
}

@incollection{KP16b,
   author = {Kihara, Takayuki and Pauly, Arno},
   title = {Dividing by zero---how bad is it, really?},
   booktitle = {41st {I}nternational {S}ymposium on {M}athematical {F}oundations of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {58},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2016},
   pages = {Art. No. 58, 14},
   doi = {10.4230/LIPIcs.MFCS.2016.58},
}

@incollection{KP19,
   author = {Kihara, Takayuki and Pauly, Arno},
   title = {Finite choice, convex choice and sorting},
   editor = {Gopal, T.V. and Watada, Junzo},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Computer Science},
   volume = {11436},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {378--393},
   note = {15th Annual Conference, TAMC 2019, Kitakyushu, Japan, April 13--16, 2019},
   doi = {10.1007/978-3-030-14812-6_23},
}

@article{KP22,
   author = {Kihara, Takayuki and Pauly, Arno},
   title = {Point degree spectra of represented spaces},
   journal = {Forum of Mathematics. Sigma},
   volume = {10},
   year = {2022},
   pages = {Paper No. e31, 27},
   doi = {10.1017/fms.2022.7},
}

@article{KP22a,
   author = {Kihara, Takayuki and Pauly, Arno},
   title = {Point Degree Spectra of Represented Spaces},
   journal = {Forum of Mathematics, Sigma},
   volume = {10},
   publisher = {Cambridge University Press},
   year = {2022},
   pages = {e31},
   doi = {10.1017/fms.2022.7},
}

@inproceedings{KP23,
   author = {Kihara, Takayuki and Pauly, Arno},
   title = {De {G}root Duality for Represented Spaces},
   editor = {Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin},
   booktitle = {Unity of Logic and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {13967},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {89--101},
   note = {19th Conference on Computability in Europe},
   doi = {10.1007/978-3-031-36978-0_8},
}

@article{KP57,
   author = {Kreisel, G. and Putnam, H.},
   title = {Eine {U}nableitbarkeitsbeweismethode f\"ur den intuitionistischen {A}ussagenkalk\"ul},
   journal = {Arch. Math. Logic Grundlag},
   volume = {3},
   year = {1957},
   pages = {74--78},
}

@article{KPSZ23,
   author = {Koswara, Ivan and Pogudin, Gleb and Selivanova, Svetlana and Ziegler, Martin},
   title = {Bit-complexity of classical solutions of linear evolutionary systems of partial differential equations},
   journal = {Journal of Complexity},
   year = {2023},
   pages = {101727},
   doi = {10.1016/j.jco.2022.101727},
}

@incollection{KPT21,
   author = {Kone\v{c}n\'{y}, Michal and Park, Sewon and Thies, Holger},
   title = {Axiomatic reals and certified efficient exact real computation},
   booktitle = {Logic, language, information, and computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {13038},
   publisher = {Springer, Cham},
   year = {2021},
   pages = {252--268},
}

@incollection{KPT23,
   author = {Kone\v{c}n\'{y}, Michal and Park, Sewon and Thies, Holger},
   title = {Formalizing hyperspaces for extracting efficient exact real computation},
   booktitle = {48th {I}nternational {S}ymposium on {M}athematical {F}oundations of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {272},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   address = {Wadern},
   year = {2023},
   pages = {Art. No. 59, 16},
   doi = {10.4230/lipics.mfcs.2023.59},
}

@article{KR79,
   author = {Kalantari, I. and Retzlaff, A.},
   title = {Recursive constructions in topological spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {44},
   year = {1979},
   pages = {609--625},
}

@article{KR83,
   author = {Kalantari, I. and Remmel, J.B.},
   title = {Degrees of recursively enumerable topological spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {48},
   year = {1983},
   pages = {610--622},
}

@article{Kre11,
   author = {Kreuzer, Alexander P.},
   title = {The cohesive principle and the {B}olzano-{W}eierstra\ss{} Principle},
   journal = {Mathematical Logic Quarterly},
   volume = {57},
   number = {3},
   year = {2011},
   pages = {292--298},
   doi = {10.1002/malq.201010008},
}

@article{Kre12,
   author = {Kreuzer, Alexander P.},
   title = {On the Strength of Weak Compactness},
   journal = {Computability},
   volume = {1},
   number = {2},
   year = {2012},
   pages = {171--179},
   doi = {10.3233/COM-12010},
}

@inproceedings{Kre12a,
   author = {Kreinovich, V.},
   title = {Negative results of computable analysis disappear if we restrict ourselves to random (or, more generally, typical) inputs},
   booktitle = {Mathematical structures and modeling. {N}umber 25 ({R}ussian)},
   publisher = {Omsk. Gos. Univ.},
   address = {Omsk},
   year = {2012},
   pages = {100--113, 131},
}

@article{Kre12b,
   author = {Kreuzer, Alexander P.},
   title = {Primitive recursion and the chain antichain principle},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {53},
   number = {2},
   year = {2012},
   pages = {245--265},
   doi = {10.1215/00294527-1715716},
}

@article{Kre12c,
   author = {Kreuzer, Alexander P.},
   title = {Non-principal ultrafilters, program extraction and higher-order reverse mathematics},
   journal = {Journal of Mathematical Logic},
   volume = {12},
   number = {1},
   year = {2012},
   pages = {1250002, 16},
   doi = {10.1142/S021906131250002X},
}

@article{Kre12d,
   author = {Kreuzer, Alexander P.},
   title = {A logical analysis of the generalized {B}anach contractions principle},
   journal = {Journal of Logic and Analysis},
   volume = {4},
   year = {2012},
   pages = {Paper 17, 16},
}

@article{Kre13,
   author = {Kreuzer, Alexander P.},
   title = {Program extraction for 2-random reals},
   journal = {Archive for Mathematical Logic},
   volume = {52},
   number = {5-6},
   year = {2013},
   pages = {659--666},
   doi = {10.1007/s00153-013-0336-9},
}

@article{Kre14,
   author = {Kreuzer, Alexander P.},
   title = {From {B}olzano-{W}eierstra\ss\ to {A}rzel\`a-{A}scoli},
   journal = {Mathematical Logic Quarterly},
   volume = {60},
   number = {3},
   year = {2014},
   pages = {177--183},
   doi = {10.1002/malq.201200076},
}

@article{Kre14a,
   author = {Kreuzer, Alexander P.},
   title = {Bounded variation and the strength of {H}elly's selection theorem},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   number = {4:16},
   year = {2014},
   pages = {1--23},
   doi = {10.2168/LMCS-10(4:16)2014},
}

@article{Kre15a,
   author = {Kreuzer, Alexander P.},
   title = {Measure theory and higher order arithmetic},
   journal = {Proceedings of the American Mathematical Society},
   volume = {143},
   number = {12},
   year = {2015},
   pages = {5411--5425},
   doi = {10.1090/proc/12671},
}

@article{Kre17,
   author = {Kreinovich, Vladik},
   title = {Why some physicists are excited about the undecidability of the spectral gap problem and why should we},
   journal = {Bulletin of the EATCS},
   volume = {122},
   year = {2017},
   pages = {100--113},
}

@article{Kre52,
   author = {Kreisel, Georg},
   title = {On the interpretation of non-finitist proofs. {II}. {I}nterpretation of number theory. {A}pplications},
   journal = {The Journal of Symbolic Logic},
   volume = {17},
   year = {1952},
   pages = {43--58},
}

@inproceedings{Kre59,
   author = {Kreisel, G.},
   title = {Interpretation of analysis by means of constructive functionals of finite types},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {101--128},
   note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957},
}

@inproceedings{Kre62,
   author = {Kreisel, G.},
   title = {Foundations of {I}ntuitionistic {L}ogic, {M}ethodology and {P}hilisophy of {S}cience},
   booktitle = {Logic, Methodology, and Philosophy of Science},
   year = {1962},
   pages = {198--210},
   note = {(Proc. Internatl. Congr., Stanford, CA, 1960)},
}

@inproceedings{Kre70,
   author = {Kreisel, G.},
   title = {Church's thesis: {A} kind of reducibility axiom for constructive mathematics},
   editor = {Kino, A. and Myhill, J. and Vesley, R.E.},
   booktitle = {Intuitionism and Proof Theory},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1970},
   pages = {121--150},
   note = {(Proc. Conf., Buffalo, N.Y., 1968)},
}

@inproceedings{Kre73,
   author = {Kreisel, G.},
   title = {Perspectives in the philosophy of pure mathematics},
   editor = {Suppes, P. and Henkin, L. and Joja, A. and Moisil, Gr.C.},
   booktitle = {Logic, Methodology, and Philosophy of Science {V}{I}},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1973},
   pages = {255--277},
   note = {(Proc. 4th. Internatl. Congr. Logic, Methodology and Philos. Sci., Bucharest, Aug. 29--Sept. 4,1971)},
}

@article{Kre82,
   author = {Kreisel, G.},
   title = {Reviews: {P}our-{E}l and {R}ichards '{A} computable differential equation which possesses no computable solution' (1979), and 'The wave equation, with computable initial data such that its unique solution' (1981)},
   journal = {The Journal of Symbolic Logic},
   volume = {47},
   year = {1982},
   pages = {900--902},
}

@phdthesis{Kre84,
   author = {Kreitz, Christoph},
   title = {Theorie der Darstellungen und ihre Anwendungen in der konstruktiven Analysis},
   school = {Fachbereich Mathematik und Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1984},
}

@article{Kre85,
   author = {Kreisel, G.},
   title = {Mathematical logic: tool and object lesson for science. {T}he present state of the problem of foundations of mathematics, Florence, 1981},
   journal = {Synthese Lib.},
   volume = {62},
   year = {1985},
   pages = {139--151},
}

@article{Kri17,
   author = {Kristiansen, Lars},
   title = {On subrecursive representability of irrational numbers},
   journal = {Computability},
   volume = {6},
   number = {3},
   year = {2017},
   pages = {249--276},
   doi = {10.3233/COM-160063},
}

@inproceedings{Kri21,
   author = {Kristiansen, Lars},
   title = {On Subrecursive Representation of Irrational Numbers: Contractors and {B}aire Sequences},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {308--317},
   doi = {10.1007/978-3-030-80049-9_28},
}

@article{Kru02,
   author = {Krupski, Vladimir N.},
   title = {Effective simultaneous approximability of reals},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {397--417},
}

@inproceedings{Krz01,
   author = {Krznari\'{c}, Marko},
   title = {Computing a Required Absolute Precision from a Stream of Linear Fractional Transformations},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {169--186},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{KS05,
   author = {Kunkle, Daren and Schr{\"{o}}der, Matthias},
   title = {Some Examples of Non-Metrizable Spaces Allowing a Simple Type-2 Complexity Theory},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {111--123},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{KS14,
   author = {Kohlenbach, Ulrich and Safarik, Pavol},
   title = {Fluctuations, effective learnability and metastability in analysis},
   journal = {Annals of Pure and Applied Logic},
   volume = {165},
   number = {1},
   year = {2014},
   pages = {266--304},
   doi = {10.1016/j.apal.2013.07.014},
}

@inproceedings{KS16,
   author = {Kudinov, Oleg V. and Selivanov, Victor L.},
   title = {On the Lattices of Effectively Open Sets},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {302--311},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_31},
}

@inproceedings{KS17,
   author = {Kawamura, Akitoshi and Steinberg, Florian},
   title = {Polynomial running times for polynomial-time oracle machines},
   booktitle = {2nd {I}nternational {C}onference on {F}ormal {S}tructures for {C}omputation and {D}eduction},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {84},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   address = {Wadern},
   year = {2017},
   pages = {Art. No. 23, 18},
}

@inproceedings{KS18,
   author = {Kapron, Bruce M. and Steinberg, Florian},
   title = {Type-two polynomial-time and restricted lookahead},
   booktitle = {L{ICS} '18---33rd {A}nnual {ACM}/{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience},
   publisher = {ACM},
   address = {New York},
   year = {2018},
   pages = {10},
   doi = {10.1145/3209108.3209124},
}

@inproceedings{KS19,
   author = {Kapron, Bruce M. and Steinberg, Florian},
   title = {Type-two iteration with bounded query revision},
   booktitle = {Proceedings {T}hird {J}oint {W}orkshop on {D}evelopments in {I}mplicit {C}omputational compl{E}xity and {F}oundational \& {P}ractical {A}spects of {R}esource {A}nalysis},
   series = {Electronic Proceedings of Theoretical Computer Science},
   volume = {298},
   publisher = {EPTCS},
   year = {2019},
   pages = {61--73},
   doi = {10.4204/EPTCS.298.5},
}

@article{KS20,
   author = {Kapron, Bruce M. and Steinberg, Florian},
   title = {Type-two polynomial-time and restricted lookahead},
   journal = {Theoretical Computer Science},
   volume = {813},
   year = {2020},
   pages = {1--19},
   doi = {10.1016/j.tcs.2019.07.003},
}

@inproceedings{KS20a,
   author = {Kristiansen, Lars and Simonsen, Jakob Grue},
   title = {On the Complexity of Conversion Between Classic Real Number Representations},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {75--86},
   doi = {10.1007/978-3-030-51466-2_7},
}

@article{KS22,
   author = {Kihara, Takayuki and Selivanov, Victor},
   title = {Wadge-like degrees of {B}orel bqo-valued functions},
   journal = {Proceedings of the American Mathematical Society},
   volume = {150},
   number = {9},
   year = {2022},
   pages = {3989--4003},
   doi = {10.1090/proc/15930},
}

@article{KS23,
   author = {K\"{o}pp, Nils and Schwichtenberg, Helmut},
   title = {Lookahead analysis in exact real arithmetic with logical methods},
   journal = {Theoretical Computer Science},
   volume = {943},
   year = {2023},
   pages = {171--186},
   doi = {10.1016/j.tcs.2022.10.003},
}

@inproceedings{KS95,
   author = {Kummer, Martin and Sch\"afer, Marcus},
   title = {Computability of convex sets},
   editor = {Mayr, Ernst W. and Puech, Claude},
   booktitle = {STACS'95},
   series = {Lecture Notes in Computer Science},
   volume = {900},
   publisher = {Springer},
   address = {Berlin},
   year = {1995},
   pages = {550--561},
   note = {12th Annual STACS, Munich},
}

@inproceedings{KST18,
   author = {Kawamura, Akitoshi and Steinberg, Florian and Thies, Holger},
   title = {Parameterized complexity for uniform operators on multidimensional analytic functions and {ODE} solving},
   editor = {Moss, L.S. and de Queiroz, R. and Martinez, M.},
   booktitle = {Logic, language, information, and computation},
   series = {Lecture Notes in Computer Science},
   volume = {10944},
   publisher = {Springer},
   address = {Berlin},
   year = {2018},
   pages = {223--236},
   doi = {10.1007/978-3-662-57669-4_13},
}

@inproceedings{KST19,
   author = {Kawamura, Akitoshi and Steinberg, Florian and Thies, Holger},
   title = {Second-Order Linear-Time Computability with Applications to Computable Analysis},
   editor = {Gopal, T.V. and Watada, Junzo},
   booktitle = {Theory and Applications of Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {11436},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {337--358},
   note = {15th Annual Conference, TAMC 2019, Kitakyushu, Japan, April 13--16, 2019},
   doi = {10.1007/978-3-030-14812-6_21},
}

@inproceedings{KST20,
   author = {Kone{\v{c}}n{\'{y}}, Michal and Steinberg, Florian and Thies, Holger},
   title = {Continuous and Monotone Machines},
   editor = {Esparza, Javier and Kr{\'a}l', Daniel},
   booktitle = {45th International Symposium on Mathematical Foundations of Computer Science ({MFCS} 2020)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {170},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2020},
   pages = {56:1--56:16},
   doi = {10.4230/LIPIcs.MFCS.2020.56},
}

@incollection{KST20a,
   author = {Kone\v{c}n\'{y}, Michal and Steinberg, Florian and Thies, Holger},
   title = {Computable analysis for verified exact real computation},
   booktitle = {40th {IARCS} {A}nnual {C}onference on {F}oundations of {S}oftware {T}echnology and {T}heoretical {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {182},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2020},
   pages = {Art. No. 50, 18},
}

@inproceedings{KSZ10,
   author = {Kudinov, Oleg V. and Selivanov, Victor L. and Zhukov, Anton V.},
   title = {Undecidability in {W}eihrauch Degrees},
   editor = {Ferreira, Fernando and L{\"o}we, Benedikt and Mayordomo, Elvira and Mendes Gomes, Lu{\'i}s},
   booktitle = {Programs, Proofs, Processes},
   series = {Lecture Notes in Computer Science},
   volume = {6158},
   publisher = {Springer},
   address = {Berlin},
   year = {2010},
   pages = {256--265},
   note = {6th Conference on Computability in Europe, CiE 2010, Ponta Delgada, Azores, Portugal, June/July 2010},
}

@inproceedings{KSZ16,
   author = {Kawamura, Akitoshi and Steinberg, Florian and Ziegler, Martin},
   title = {Towards Computational Complexity Theory on Advanced Function Spaces in Analysis},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {142--152},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_15},
}

@inproceedings{KSZ16a,
   author = {Kawamura, Akitoshi and Steinberg, Florian and Ziegler, Martin},
   title = {Complexity theory of (functions on) compact metric spaces},
   booktitle = {Proceedings of the 31st {A}nnual {ACM}-{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience ({LICS} 2016)},
   publisher = {ACM},
   address = {New York},
   year = {2016},
   pages = {10},
   doi = {10.1145/2933575.2935311},
}

@article{KSZ17,
   author = {Kawamura, Akitoshi and Steinberg, Florian and Ziegler, Martin},
   title = {On the computational complexity of the {D}irichlet Problem for {P}oisson's Equation},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1437--1465},
   doi = {10.1017/S096012951600013X},
}

@inproceedings{KSZ19,
   author = {Koswara, Ivan and Selivanova, Svetlana and Ziegler, Martin},
   title = {Computational complexity of real powering and improved solving linear differential equations},
   booktitle = {Computer science---theory and applications},
   series = {Lecture Notes in Computer Science},
   volume = {11532},
   publisher = {Springer, Cham},
   year = {2019},
   pages = {215--227},
   doi = {10.1007/978-3-030-19955-5_19},
}

@article{KT14,
   author = {Kuyper, Rutger and Terwijn, Sebastiaan A.},
   title = {Effective genericity and differentiability},
   journal = {Journal of Logic and Analysis},
   volume = {6},
   year = {2014},
   pages = {Paper 4, 14},
}

@article{KT55,
   author = {Kuzn{\'e}cov, A.V. and Traht{\'e}nbrot, B.A.},
   title = {Investigation of partially recursive operators by means of the theory of {B}aire space ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {105},
   year = {1955},
   pages = {897--900},
}

@article{KT70,
   author = {Kreisel, G. and Troelstra, A.S.},
   title = {Formal systems for some branches of intuitionistic analysis},
   journal = {Ann. Math. Logic},
   volume = {1},
   year = {1970},
   pages = {229--387},
}

@inproceedings{KTZ18,
   author = {Kawamura, Akitoshi and Thies, Holger and Ziegler, Martin},
   title = {Average-case polynomial-time computability of {H}amiltonian dynamics},
   booktitle = {43rd {I}nternational {S}ymposium on {M}athematical {F}oundations of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {117},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   address = {Wadern},
   year = {2018},
   pages = {Art. No. 30, 17},
}

@inproceedings{Kun03,
   author = {Kunkle, Daren},
   title = {Computability on spaces of integrable functions},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {279--301},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Kun04a,
   author = {Kunkle, Daren},
   title = {Type-2 computability on spaces of integrable functions},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {417--430},
}

@inproceedings{Kus03,
   author = {Kushner, Boris Abramovich},
   title = {The centenary of {A}.{A}. {M}arkov, Jr.; {H}is personality, his constructive mathematics},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {55--79},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Kus64,
   author = {Kushner, Boris Abramovich},
   title = {Riemann integration in constructive analysis ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {156},
   year = {1964},
   pages = {255--257},
   note = {[translated in: Soviet Math.-Dokl., 5 (1964) 628--630]},
}

@article{Kus65,
   author = {Kushner, Boris Abramovich},
   title = {Constructive theory of the {R}iemann integral ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {165},
   year = {1965},
   pages = {1238--1240},
   note = {[translated in: Soviet Math.-Dokl. 6 (1965) 1584--1587]},
}

@article{Kus65a,
   author = {Kushner, Boris Abramovich},
   title = {The existence of unbounded constructive analytic functions ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {160},
   year = {1965},
   pages = {29--31},
   note = {[translated in: Soviet Math.-Dokl., 6 (1965) 26--28]},
}

@article{Kus67,
   author = {Kushner, Boris Abramovich},
   title = {On constructive antiderivatives ({R}ussian)},
   journal = {Mat. Zametki},
   volume = {2},
   year = {1967},
   pages = {157--166},
   note = {[translated as: Primitive constructive functions, Math. Notes, 2 (1967) 577--582]},
}

@article{Kus68,
   author = {Kushner, Boris Abramovich},
   title = {A remark on the domains of definition of constructive analytic functions ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
   volume = {8},
   year = {1968},
   pages = {103--106},
}

@article{Kus70,
   author = {Kushner, Boris Abramovich},
   title = {Some mass problems connected with the integration of constructive functions ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   volume = {113},
   year = {1970},
   pages = {39--72},
   note = {[translated in: Proc. Stehlov Inst. Math., 113 (1970) 42--83]},
}

@article{Kus73,
   author = {Kushner, Boris Abramovich},
   title = {Computationally complex real numbers ({R}ussian)},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {19},
   year = {1973},
   pages = {447--452},
}

@article{Kus73a,
   author = {Kushner, Boris Abramovich},
   title = {Continuity theorems for some types of computable operators ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {208},
   year = {1973},
   pages = {1031--1034},
   note = {[translated in: Soviet Math. - Dokl., 14 (1973) 221--225]},
}

@book{Kus73b,
   author = {Kushner, Boris Abramovich},
   title = {Lectures on Constructive Mathematical Analysis ({R}ussian)},
   publisher = {Izdat. Nauka},
   year = {1973},
   note = {translated: by Mendelson, E., and edited by Leifman, L.J., Transl. Math. Monographs, 60 (1984)},
}

@article{Kus74,
   author = {Kushner, Boris Abramovich},
   title = {On a type of computable real function ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {215},
   year = {1974},
   pages = {259--262},
   note = {[translated in: Soviet Math. - Dokl., 15 (1974) 466--470]},
}

@inproceedings{Kus74a,
   author = {Kushner, Boris Abramovich},
   title = {A constructive version of {K}\"onig's theorem; functions that are computable in the sense of {M}arkov, {G}rzegorczyk and {L}acombe ({R}ussian)},
   booktitle = {Theory of algorithms and mathematical logic (dedicated to A.A. Markov on the occasion of his seventieth birthday)},
   year = {1974},
   pages = {87--111, 215},
   note = {(Vy\v{c}isl. Centr Akad. Nauk SSSR)},
}

@article{Kus76,
   author = {Kushner, Boris Abramovich},
   title = {The computation of isolated roots of constructive functions ({R}ussian)},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {22},
   year = {1976},
   pages = {311--332},
}

@inproceedings{Kus76a,
   author = {Kushner, Boris Abramovich},
   title = {On {G}rzegorczyk's theorem on the computability of an isolated extremum ({R}ussian)},
   editor = {Markov, A.A. and Ku\v{s}ner, B.A.},
   booktitle = {Studies in the Theory of Algorithms and Mathematical Logic},
   volume = {2},
   year = {1976},
   pages = {112--121, 158},
   note = {(Vy\v{c}isl. Centr Akad. Nauk SSSR)},
}

@inproceedings{Kus79,
   author = {Kushner, Boris Abramovich},
   title = {Segmental coverings and uniform continuity of constructive functions ({R}ussian)},
   editor = {Markov, A.A. and Homi\v{c}, V.I.},
   booktitle = {Studies in the Theory of Algorithms and Mathematical Logic},
   publisher = {Nauka},
   year = {1979},
   pages = {62--69, 133},
}

@inproceedings{Kus81,
   author = {Kushner, Boris Abramovich},
   title = {Behavior of the general term of a {S}pecker series ({R}ussian)},
   editor = {Gladki\u{i}, M.},
   booktitle = {Mathematical Logic and Mathematical Linguistics},
   publisher = {Kalinin. Gos. Univ.},
   year = {1981},
   pages = {112--116},
}

@article{Kus81a,
   author = {Kushner, Boris Abramovich},
   title = {On some topological properties of constructive plane curves ({R}ussian)},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {260},
   year = {1981},
   pages = {281--283},
   note = {[translated in: Soviet Math. - Dokl., 24 (1981) 258--261]},
}

@inproceedings{Kus82,
   author = {Kushner, Boris Abramovich},
   title = {Some extensions of {M}arkov's constructive continuum and their applications to the theory of constructive functions},
   editor = {Troelstra, A.S. and van Dalen, D.},
   booktitle = {The L.E.J. Brouwer Centenary Symposium (Noordwijkerhout, June 8-13,1981)},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {110},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1982},
   pages = {261--273},
}

@inproceedings{Kus83,
   author = {Kushner, Boris Abramovich},
   title = {A class of {S}pecker sequences ({R}ussian)},
   editor = {Gladli\u{i}, M.},
   booktitle = {Mathematical Logic, Mathematical Linguistics and Theory of Algorithms},
   publisher = {Kalinin. Gos. Univ.},
   year = {1983},
   pages = {62--65},
}

@book{Kus84,
   author = {Kushner, Boris Abramovich},
   title = {Lectures on Constructive Mathematical Analysis},
   series = {Translations of Mathematical Monographs},
   volume = {60},
   publisher = {American Mathematical Society},
   address = {Providence},
   year = {1984},
}

@article{Kus85,
   author = {Kushner, Boris Abramovich},
   title = {Differentiability and uniform continuity of constructive functions ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {281},
   year = {1985},
   pages = {1314--1316},
   note = {[translated in: Soviet Math. - Dokl., 31 (1985) 433--435]},
}

@inproceedings{Kus87,
   author = {Kushner, Boris Abramovich},
   title = {The principle of bar-induction in {B}rouwer's theory of the continuum ({R}ussian)},
   editor = {Panov, M.I.},
   booktitle = {Patterns in the Development of Modern Mathematics, Methodological Aspects},
   publisher = {Nauka},
   year = {1987},
   pages = {230--250},
}

@inproceedings{Kus88,
   author = {Kushner, Boris Abramovich},
   title = {Effective meaning of a theorem on uniform limit transition ({R}ussian)},
   editor = {Nagorny\u{i}, N.M.},
   booktitle = {Problems in Mathematical Logic and in the Theory of Algorithms},
   publisher = {Akad. Nauk SSSR, Vy\v{c}isl. Centr.},
   year = {1988},
   pages = {3--10},
}

@inproceedings{Kus90,
   author = {Kushner, Boris Abramovich},
   title = {Markov's constructive mathematical analysis: the expectations and the results},
   editor = {Petkov, P.P.},
   booktitle = {Mathematical Logic},
   publisher = {Plenum},
   year = {1990},
   pages = {53--58},
   note = {(Proc. Heyting '88 Summer School, Chaika, Sept. 13--23, 1988)},
}

@article{Kus93,
   author = {Kushner, Boris Abramovich},
   title = {The constructive mathematics of {A}.{A}. {M}arkov: some reflections ({R}ussian)},
   journal = {Modern Logic},
   volume = {3},
   year = {1993},
   pages = {119--144},
}

@inproceedings{Kus93a,
   author = {Kushner, Boris Abramovich},
   title = {Markov and {B}ishop: an essay in memory of {A}.{A}. {M}arkov (1903--1979) and {E}. {B}ishop (1928--1983)},
   editor = {Zdrovkovska, S. and Duren, P.L.},
   booktitle = {Golden Years of Moscow Mathematics},
   series = {Hist. Math.},
   volume = {6},
   year = {1993},
   pages = {179--197},
}

@inproceedings{Kus96,
   author = {Kushner, Boris Abramovich},
   title = {Kurt {G}\"odel and the constructive mathematics of {A}.{A}. {M}arkov},
   editor = {H\'ajek, P.},
   booktitle = {G\"odel '96},
   series = {Lecture Notes in Logic},
   volume = {6},
   year = {1996},
   pages = {50--63},
   note = {Proc. Conf, Brno, August 1996},
}

@article{Kus99,
   author = {Kushner, Boris Abramovich},
   title = {Markov's constructive analysis; a participant's view},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {267--285},
}

@article{Kuy17,
   author = {Kuyper, Rutger},
   title = {On {W}eihrauch reducibility and intuitionistic reverse mathematics},
   journal = {Journal of Symbolic Logic},
   volume = {82},
   number = {4},
   year = {2017},
   pages = {1438--1458},
   doi = {10.1017/jsl.2016.61},
}

@article{Kuy19,
   author = {Kuyper, Rutger},
   title = {Levels of uniformity},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {60},
   number = {1},
   year = {2019},
   pages = {119--138},
   doi = {10.1215/00294527-2018-0024},
}

@book{KV65,
   author = {Kleene, Stephen C. and Vesli, R.},
   title = {The foundations of intuitionistic mathematics. Especially in relation to recursive functions.},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1965},
}

@inproceedings{KW02a,
   author = {Kalantari, Iraj and Welch, Lawrence},
   title = {Recursive Quantum Functions, Avoidable Points, \& Shadow Points in Recursive Analysis},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{KW03,
   author = {Kalantari, Iraj and Welch, Larry},
   title = {A blend of methods of recursion theory and topology},
   journal = {Annals of Pure and Applied Logic},
   volume = {124},
   number = {1--3},
   year = {2003},
   pages = {141--178},
}

@article{KW04,
   author = {Kalantari, Iraj and Welch, Larry},
   title = {Density and {B}aire category in recursive topology},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {381--391},
}

@article{KW08,
   author = {Kalantari, Iraj and Welch, Larry},
   title = {On degree-preserving homeomorphisms between trees in computable topology},
   journal = {Archive for Mathematical Logic},
   volume = {46},
   number = {7--8},
   year = {2008},
   pages = {679--693},
}

@article{KW08a,
   author = {Kalantari, Iraj and Welch, Larry},
   title = {On {T}uring degrees of points in computable topology},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {470--482},
}

@article{KW13,
   author = {Kalantari, Iraj and Welch, Larry},
   title = {When series of computable functions with varying domains are computable},
   journal = {MLQ Math. Log. Q.},
   volume = {59},
   number = {6},
   year = {2013},
   pages = {471--493},
   doi = {10.1002/malq.201200053},
}

@inproceedings{KW21,
   author = {Kjos-Hanssen, Bj{\o}rn and Webb, David J.},
   title = {{KL}-Randomness and Effective Dimension Under Strong Reducibility},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {457--468},
   doi = {10.1007/978-3-030-80049-9_45},
}

@inproceedings{KW83a,
   author = {Kreitz, Christoph and Weihrauch, Klaus},
   title = {Complexity theory on real numbers and functions},
   editor = {Cremers, A.B. and Kriegel, H.P.},
   booktitle = {Theoretical Computer Science},
   series = {Lecture Notes in Computer Science},
   volume = {145},
   publisher = {Springer},
   year = {1983},
   note = {6th GI-Conference, Dortmund, January 5--7, 1983},
}

@inproceedings{KW84,
   author = {Kreitz, Christoph and Weihrauch, Klaus},
   title = {A unified approach to constructive and recursive analysis},
   editor = {Richter, M.M. and B\"orger, E. and Oberschelp, W. and Schinzel, B. and Thomas, W.},
   booktitle = {Computation and Proof Theory},
   series = {Lecture Notes in Mathematics},
   volume = {1104},
   publisher = {Springer},
   address = {Berlin},
   year = {1984},
   pages = {259--278},
   note = {Proceedings of the Logic Colloquium, Aachen, July 18--23, 1983, Part II},
}

@inproceedings{KW84a,
   author = {Kreitz, Christoph and Weihrauch, Klaus},
   title = {Towards a theory of representations},
   editor = {Wechsung, G.},
   booktitle = {Frege Conference 1984},
   publisher = {Akademie-Verlag},
   address = {Berlin},
   year = {1984},
   pages = {73--79},
   note = {Proceedings of the International Conference held at Schwerin, September 10--14, 1984},
}

@article{KW85,
   author = {Kreitz, Christoph and Weihrauch, Klaus},
   title = {Theory of representations},
   journal = {Theoretical Computer Science},
   volume = {38},
   year = {1985},
   pages = {35--53},
}

@article{KW85a,
   author = {Kalantari, I. and Weitkamp, G.},
   title = {Effective topological spaces, {I}. {A} definability theory},
   journal = {Annals of Pure and Applied Logic},
   volume = {29},
   year = {1985},
   pages = {1--27},
}

@article{KW85b,
   author = {Kalantari, I. and Weitkamp, G.},
   title = {Effective topological spaces, {I}{I}. {A} hierarchy},
   journal = {Annals of Pure and Applied Logic},
   volume = {29},
   year = {1985},
   pages = {207--224},
}

@article{KW85c,
   author = {Kalantari, I. and Weitkamp, G.},
   title = {Effective topological spaces, {I}{I}{I}. Forcing and definability},
   journal = {Annals of Pure and Applied Logic},
   volume = {36},
   year = {1985},
   pages = {17--27},
}

@article{KW87,
   author = {Kreitz, Christoph and Weihrauch, Klaus},
   title = {Compactness in constructive analysis revisited},
   journal = {Annals of Pure and Applied Logic},
   volume = {36},
   year = {1987},
   pages = {29--38},
}

@inproceedings{KW96,
   author = {Ko, Ker-I and Weihrauch, Klaus},
   title = {On the measure of two-dimensional regions with polynomial-time computable boundaries},
   editor = {Homer, Steve and Cai, Jin-Yi},
   booktitle = {Eleventh Annual IEEE Conference on Computational Complexity},
   publisher = {IEEE Computer Society Press},
   address = {Los Alamitos},
   year = {1996},
   pages = {150--159},
}

@article{KW98,
   author = {Kalantari, Iraj and Welch, Lawrence},
   title = {Point-free topological spaces, functions and recursive points; filter foundation for recursive analysis. {I}},
   journal = {Annals of Pure and Applied Logic},
   volume = {93},
   number = {1--3},
   year = {1998},
   pages = {125--151},
}

@article{KW99,
   author = {Kalantari, Iraj and Welch, Lawrence},
   title = {Recursive and nonextendible functions over the reals; filter foundation for recursive analysis, {I}{I}},
   journal = {Annals of Pure and Applied Logic},
   volume = {98},
   number = {1--3},
   year = {1999},
   pages = {87--110},
}

@inproceedings{KY07,
   author = {Ko, Ker-I and Yu, Fuxiang},
   title = {{J}ordan Curves with Polynomial Inverse Moduli of Continuity},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {425--447},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{KY07a,
   author = {Ko, Ker-I and Yu, Fuxiang},
   title = {On the complexity of computing the logarithm and square root functions on a complex domain},
   journal = {Journal of Complexity},
   volume = {23},
   number = {1},
   year = {2007},
   pages = {2--24},
}

@article{KY07d,
   author = {Ko, Ker-I and Yu, Fuxiang},
   title = {Jordan curves with polynomial inverse moduli of continuity},
   journal = {Theoretical Computer Science},
   volume = {381},
   number = {1--3},
   year = {2007},
   pages = {148--161},
}

@inproceedings{KY08,
   author = {Ko, Ker-I and Yu, Fuxiang},
   title = {On the Complexity of Convex Hulls of Subsets of the Two-Dimensional Plane},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {121--135},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@phdthesis{Lab86,
   author = {Labhalla, Salah-Eddine},
   title = {Complexit{\'e} du Calcul du D{\'e}veloppement d'un Nombre R{\'e}el en Fractions Continu{\'e}s},
   school = {Universit{\'e} de Caen Normandie},
   year = {1986},
}

@article{Lab91,
   author = {Labhalla, Salah},
   title = {Complexit\'e du calcul du d\'eveloppement d'un nombre r\'eel en fractions continues},
   journal = {Theoretical Computer Science},
   volume = {83},
   year = {1991},
   pages = {219--235},
}

@article{Lac03,
   author = {Laczkovich, M.},
   title = {The removal of {$\pi$} from some undecidable problems involving elementary functions},
   journal = {Proceedings of the American Mathematical Society},
   volume = {131},
   number = {7},
   year = {2003},
   pages = {2235--2240},
   doi = {10.1090/S0002-9939-02-06753-9},
}

@article{Lac55,
   author = {Lacombe, Daniel},
   title = {Classes r\'{e}cursivement ferm\'{e}s et fonctions majorantes},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {240},
   year = {1955},
   month = jun,
   pages = {716--718},
}

@article{Lac55a,
   author = {Lacombe, Daniel},
   title = {Extension de la notion de fonction r\'{e}cursive aux fonctions d'une ou plusieurs variables r\'{e}elles {I}},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {240},
   year = {1955},
   month = jun,
   pages = {2478--2480},
}

@article{Lac55b,
   author = {Lacombe, Daniel},
   title = {Extension de la notion de fonction r\'{e}cursive aux fonctions d'une ou plusieurs variables r\'{e}elles {II}},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {241},
   year = {1955},
   month = jul,
   pages = {13--14},
}

@article{Lac55c,
   author = {Lacombe, Daniel},
   title = {Extension de la notion de fonction r\'{e}cursive aux fonctions d'une ou plusieurs variables r\'{e}elles {III}},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {241},
   year = {1955},
   month = jul,
   pages = {151--153},
}

@article{Lac55d,
   author = {Lacombe, Daniel},
   title = {Remarques sur les op\'{e}rateurs r\'{e}cursifs et sur les fonctions r\'{e}cursives d'une variable r\'{e}elle},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {241},
   year = {1955},
   month = nov,
   pages = {1250--1252},
}

@article{Lac57,
   author = {Lacombe, Daniel},
   title = {Les ensembles r\'{e}cursivement ouverts ou ferm\'{e}s, et leurs applications \`{a} l'{A}nalyse r\'{e}cursive},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {245},
   year = {1957},
   pages = {1040--1043},
}

@article{Lac57a,
   author = {Lacombe, Daniel},
   title = {Quelques propri\'et\'es d'analyse r\'ecursive},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {244},
   year = {1957},
   pages = {838--840,996--997},
}

@article{Lac58,
   author = {Lacombe, Daniel},
   title = {Les ensembles r\'{e}cursivement ouverts ou ferm\'{e}s, et leurs applications \`{a} l'{A}nalyse r\'{e}cursive},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {246},
   year = {1958},
   pages = {28--31},
}

@inproceedings{Lac58a,
   author = {Lacombe, Daniel},
   title = {Sur les possibilites d'extension de la notion de fonction r\'{e}cursive aux fonctions d'une ou plusieurs variables r\'{e}elles},
   booktitle = {Le raisonnement en mathematiques et en sciences},
   publisher = {Editions du Centre National de la Recherche Scientifique},
   address = {Paris},
   year = {1958},
   pages = {67--75},
   note = {Colloques Internationaux du Centre National de la Recherche Scientifique, LXX},
}

@inproceedings{Lac59,
   author = {Lacombe, Daniel},
   title = {Quelques proc\'{e}d\'{e}s de d\'{e}finition en topologie r\'{e}cursive},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {129--158},
   note = {Colloquium at Amsterdam, 1957},
}

@article{Lac63,
   author = {Lachlan, A.H.},
   title = {Recursive real numbers},
   journal = {The Journal of Symbolic Logic},
   volume = {28},
   year = {1963},
   pages = {1--16},
}

@inproceedings{Lam03,
   author = {Lambov, Branimir},
   title = {A two-layer approach to the computability and complexity of real functions},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {303--324},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@inproceedings{Lam05,
   author = {Lambov, Branimir},
   title = {Rates of Convergence of Recursively Defined Sequences},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {125--133},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{Lam05a,
   author = {Lambov, Branimir},
   title = {{RealLib}: an efficient implementation of Exact Real Arithmetic},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {169--175},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@phdthesis{Lam05b,
   author = {Lambov, Branimir},
   title = {Topics in the Theory and Practice of Computable Analysis},
   school = {Department of Computer Science, University of Aarhus, Denmark},
   address = {Aarhus},
   year = {2005},
}

@article{Lam06,
   author = {Lambov, Branimir},
   title = {The basic feasible functionals in computable analysis},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {909--917},
}

@article{Lam07,
   author = {Lambov, Branimir},
   title = {{RealLib}: {A}n efficient implementation of exact real arithmetic},
   journal = {Mathematical Structures in Computer Science},
   volume = {17},
   year = {2007},
   pages = {81--98},
}

@article{Lan23,
   author = {Landsman, Klaas},
   title = {Typical = Random},
   journal = {Axioms},
   volume = {12},
   year = {2023},
   pages = {727},
   doi = {10.3390/axioms12080727},
}

@article{LB06,
   author = {Lewis, Andrew E.M. and Barmpalias, George},
   title = {Random reals and {L}ipschitz continuity},
   journal = {Mathematical Structures in Computer Science},
   volume = {16},
   number = {5},
   year = {2006},
   pages = {737--749},
}

@article{LCL02,
   author = {Lester, David and Chambers, Scott and Lu, Heoi Lee},
   title = {A constructive algorithm for finding the exact roots of polynomials with computable real coefficients},
   journal = {Theoretical Computer Science},
   volume = {279},
   year = {2002},
   pages = {51--64},
}

@article{LCM07,
   author = {Loff, Bruno and Costa, Jos{\'e} F{\'e}lix and Mycka, Jerzy},
   title = {Computability on reals, infinite limits and differential equations},
   journal = {Applied Mathematics and Computation},
   volume = {191},
   number = {2},
   year = {2007},
   pages = {353--391},
}

@incollection{LD13,
   author = {Lubarsky, Robert S. and Diener, Hannes},
   title = {Separating the {F}an {T}heorem and its weakenings},
   booktitle = {Logical foundations of computer science},
   series = {Lecture Notes in Comput. Sci.},
   volume = {7734},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2013},
   pages = {280--295},
   doi = {10.1007/978-3-642-35722-0_20},
}

@article{LD13a,
   author = {Lubarsky, Robert S. and Diener, Hannes},
   title = {Principles weaker than {BD}-{N}},
   journal = {The Journal of Symbolic Logic},
   volume = {78},
   number = {3},
   year = {2013},
   pages = {873--885},
}

@article{LD14,
   author = {Lubarsky, Robert S. and Diener, Hannes},
   title = {Separating the {F}an theorem and its weakenings},
   journal = {The Journal of Symbolic Logic},
   volume = {79},
   number = {3},
   year = {2014},
   pages = {792--813},
   doi = {10.1017/jsl.2014.9},
}

@article{Le09,
   author = {Le{\v{s}}nik, Davorin},
   title = {Constructive {U}rysohn universal metric space},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1236--1263},
   doi = {10.3217/jucs-015-06-1236},
}

@phdthesis{Le10,
   author = {Le{\v{s}}nik, Davorin},
   title = {Synthetic Topology and Constructive Metric Spaces},
   school = {University of Ljubljana, Faculty of Mathematics and Physics, Department of Mathematics},
   address = {Ljubljana},
   year = {2010},
}

@article{Leh61,
   author = {Lehman, R.S.},
   title = {On primitive recursive real numbers},
   journal = {Fundamenta Mathematicae},
   volume = {49},
   year = {1961},
   pages = {105--118},
}

@inproceedings{Les08,
   author = {Le{\v{s}}nik, Davorin},
   title = {Constructive {U}rysohn's Universal Metric Space},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {171--179},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@inproceedings{Leu06,
   author = {Leu{\c{s}}tean, Lauren{\c{t}}iu},
   title = {Proof Mining in {$R$}-trees and Hyperbolic Spaces},
   editor = {Mints, Grigori and de Queiroz, Ruy},
   booktitle = {Logic, Language, Information and Computation},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {165},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2006},
   pages = {95--106},
   note = {{WoLLIC} 2006, 13th Workshop on Logic, Language, Information and Computation, Stanford University, CA, USA, 18-21 July 2006},
}

@article{Leu07,
   author = {Leu{\c{s}}tean, Lauren{\c{t}}iu},
   title = {A quadratic rate of asymptotic regularity for {CAT(0)}-spaces},
   journal = {J. Math. Anal. Appl.},
   volume = {325},
   year = {2007},
   pages = {386--399},
}

@article{Lew92,
   author = {Lewis, A.A.},
   title = {Some aspects of effectively constructive mathematics that are relevant to the foundations of neoclassical mathematical economics and the theory of games},
   journal = {Math. Social Sciences},
   volume = {24},
   year = {1992},
   pages = {209--235},
}

@phdthesis{Lie04,
   author = {Lietz, Peter},
   title = {From Constructive Mathematics to Computable Analysis via the Realizability Interpretation},
   school = {Fachbereich Mathematik, TU Darmstadt},
   address = {Darmstadt},
   year = {2004},
}

@inproceedings{Lie98,
   author = {Lieutier, Andr{\`{e}}},
   title = {Toward a data type for Solid Modeling based on Domain Theory},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {51--60},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{Lif82,
   author = {Lifschitz, Vladimir},
   title = {Constructive assertions in an extension of classical mathematics},
   journal = {The Journal of Symbolic Logic},
   volume = {47},
   number = {2},
   year = {1982},
   pages = {359--387},
}

@article{LL03,
   author = {Lawson, Jimmie D. and Lu, Bin},
   title = {Riemann and {E}dalat integration on domains},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {259--275},
}

@article{LL15,
   author = {Lutz, Jack H. and Lutz, Neil},
   title = {Lines missing every random point},
   journal = {Computability},
   volume = {4},
   number = {2},
   year = {2015},
   pages = {85--102},
   doi = {10.3233/COM-150038},
}

@inproceedings{LL17,
   author = {Lutz, Jack H. and Lutz, Neil},
   title = {Algorithmic Information, Plane {K}akeya Sets, and Conditional Dimension},
   editor = {Vollmer, Heribert and Vall{\'e}e, Brigitte},
   booktitle = {34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {66},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2017},
   pages = {53:1--53:13},
   doi = {10.4230/LIPIcs.STACS.2017.53},
}

@article{LL18,
   author = {Lutz, Jack H. and Lutz, Neil},
   title = {Algorithmic information, plane {K}akeya sets, and conditional dimension},
   journal = {ACM Transactions on Computation Theory},
   volume = {10},
   number = {2},
   year = {2018},
   pages = {Art. 7, 22},
   doi = {10.1145/3201783},
}

@incollection{LL20,
   author = {Lutz, Jack H. and Lutz, Neil},
   title = {Who Asked Us? {H}ow the Theory of Computing Answers Questions about Analysis},
   editor = {Du, Ding-Zhu and Wang, Jie},
   booktitle = {Complexity and Approximation: In Memory of {Ker-I Ko}},
   publisher = {Springer},
   address = {Cham},
   year = {2020},
   pages = {48--56},
   doi = {10.1007/978-3-030-41672-0_4},
}

@article{LL90,
   author = {Labhalla, Salah and Lombardi, Henri},
   title = {Real numbers, continued fractions, and complexity classes},
   journal = {Annals of Pure and Applied Logic},
   volume = {50},
   year = {1990},
   pages = {1--28},
}

@article{LL90a,
   author = {Labhalla, Salah and Lombardi, Henri},
   title = {Comparaison des complexit\'es des nombres r\'eels dans diff\'erentes repr\'esentations (\`a la {C}auchy, \`a la {D}edekind, par fractions continues)},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {310},
   year = {1990},
   pages = {483--488},
}

@article{LL90b,
   author = {Labhalla, Salah and Lombardi, Henri},
   title = {Comparaison des diff\'erentes repr\'esentations des nombres r\'eels du point de vue des fonctionnelles r\'ecursives},
   journal = {Comptes Rendus Acad\'emie des Sciences Paris},
   volume = {311},
   year = {1990},
   pages = {229--234},
}

@article{LL91a,
   author = {Labhalla, Salah and Lombardi, Henri},
   title = {Repr\'esentations des nombres r\'eels par d\'eveloppements en base enti\`ere et complexit\'e},
   journal = {Theoretical Computer Science},
   volume = {88},
   number = {1},
   year = {1991},
   pages = {171--182},
   doi = {10.1016/0304-3975(91)90080-L},
}

@article{LL96,
   author = {Labhalla, Salah and Lombardi, Henri},
   title = {Analyse de complexit\'e pour un th\'eor\`eme de {H}all sur les fractions continues},
   journal = {Mathematical Logic Quarterly},
   volume = {42},
   year = {1996},
   pages = {134--144},
}

@article{LLM01,
   author = {Labhalla, S. and Lombardi, H. and Moutai, E.},
   title = {Espaces m\'etriques rationnellement pr\'esent\'es et complexit\'e, le cas de l'espace des fonctions r\'eelles uniform\'ement continues sur un intervalle compact},
   journal = {Theoretical Computer Science},
   volume = {250},
   year = {2001},
   pages = {265--332},
}

@inproceedings{LLP11,
   author = {Lathrop, James I. and Lutz, Jack H. and Patterson, Brian},
   title = {Multi-resolution cellular automata for real computation},
   booktitle = {Models of computation in context},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6735},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {181--190},
   doi = {10.1007/978-3-642-21875-0_19},
}

@article{LM08,
   author = {Lutz, Jack H. and Mayordomo, Elvira},
   title = {Dimensions of points in self-similar fractals},
   journal = {SIAM Journal on Computing},
   volume = {38},
   number = {3},
   year = {2008},
   pages = {1080--1112},
   doi = {10.1137/070684689},
}

@inproceedings{LM08a,
   author = {Lutz, Jack H. and Mayordomo, Elvira},
   title = {Dimensions of points in self-similar fractals},
   booktitle = {Computing and combinatorics},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5092},
   publisher = {Springer},
   address = {Berlin},
   year = {2008},
   pages = {215--224},
   doi = {10.1007/978-3-540-69733-6_22},
}

@incollection{LM21,
   author = {Lutz, Jack H. and Mayordomo, Elvira},
   title = {Algorithmic Fractal Dimensions in Geometric Measure Theory},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {271--302},
   doi = {10.1007/978-3-030-59234-9_8},
}

@book{LN15,
   author = {Longley, John and Normann, Dag},
   title = {Higher-Order Computability},
   edition = {1st},
   publisher = {Springer},
   year = {2015},
}

@inproceedings{LNS09,
   author = {Lewis, Andrew and Nies, Andr{\'e} and Sorbi, Andrea},
   title = {The first order theories of the {M}edvedev and {M}uchnik lattices},
   booktitle = {Mathematical theory and computational practice},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {324--331},
   doi = {10.1007/978-3-642-03073-4_33},
}

@article{Loe05,
   author = {Iris Loeb},
   title = {Equivalents of the (Weak) Fan Theorem},
   journal = {Annals of Pure and Applied Logic},
   volume = {132},
   number = {1},
   year = {2005},
   pages = {51--66},
}

@article{Loe09,
   author = {Loeb, Iris},
   title = {Indecomposability of negative dense subsets of {$\Bbb R$} in constructive reverse mathematics},
   journal = {Logic Journal of the IGPL},
   volume = {17},
   number = {2},
   year = {2009},
   pages = {173--177},
   doi = {10.1093/jigpal/jzp002},
}

@article{Loe13,
   author = {Loeb, Iris},
   title = {Lipschitz functions in constructive reverse mathematics},
   journal = {Log. J. IGPL},
   volume = {21},
   number = {1},
   year = {2013},
   pages = {28--43},
   doi = {10.1093/jigpal/jzs020},
}

@article{Lor51,
   author = {Lorenzen, Paul},
   title = {Mass und {I}ntegral in der konstruktiven {A}nalysis},
   journal = {Mathematische Zeitschrift},
   volume = {54},
   year = {1951},
   pages = {275--290},
}

@book{Lor65,
   author = {Lorenzen, Paul},
   title = {Differential und {I}ntegral. {E}ine konstruktive {E}inf\"uhrung in die klassische {A}nalysis.},
   publisher = {Akademische Verlagsgesellschaft},
   address = {Frankfurt},
   year = {1965},
}

@article{Lor78,
   author = {Lorenzen, Paul},
   title = {Konstruktive {A}nalysis und das geometrische {K}ontinuum},
   journal = {Dialectica},
   volume = {32},
   year = {1978},
   pages = {221--227},
}

@inproceedings{LP13,
   author = {Le Roux, St{\'e}phane and Pauly, Arno},
   title = {Closed Choice for Finite and for Convex Sets},
   editor = {Bonizzoni, Paola and Brattka, Vasco and L{\"o}we, Benedikt},
   booktitle = {The Nature of Computation. Logic, Algorithms, Applications},
   series = {Lecture Notes in Computer Science},
   volume = {7921},
   publisher = {Springer},
   address = {Berlin},
   year = {2013},
   pages = {294--305},
   note = {9th Conference on Computability in Europe, CiE 2013, Milan, Italy, July 1-5, 2013},
   doi = {10.1007/978-3-642-39053-1_34},
}

@article{LPJ05,
   author = {Li, C. and Pion, S. and Yap, C.K.},
   title = {Recent progress in exact geometric computation},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {64},
   year = {2005},
   pages = {85--111},
}

@inproceedings{LR02,
   author = {Langley, Simon and Richardson, Daniel},
   title = {What can we do with a Solution?},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{LR09,
   author = {Lubarsky, Robert S. and Richman, Fred},
   title = {Signed-bit representations of real numbers},
   journal = {Journal of Logic and Analysis},
   volume = {1},
   year = {2009},
   pages = {Paper 10, 18},
   doi = {10.4115/jla.2009.1.10},
}

@inproceedings{LRP15,
   author = {Le Roux, St{\'e}phane and Pauly, Arno},
   title = {Weihrauch Degrees of Finding Equilibria in Sequential Games (Extended Abstract)},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {246--257},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_25},
}

@article{LRP15a,
   author = {Le Roux, St{\'{e}}phane and Pauly, Arno},
   title = {Finite choice, convex choice and finding roots},
   journal = {Logical Methods in Computer Science},
   volume = {11},
   number = {4},
   year = {2015},
   pages = {4:6, 31},
   doi = {10.2168/LMCS-11(4:6)2015},
}

@inproceedings{LRPR17,
   author = {Le Roux, St{\'e}phane and Pauly, Arno and Raskin, Jean-Fran{\c{c}}ois},
   title = {{M}inkowski Games},
   editor = {Vollmer, Heribert and Vall{\'e}e, Brigitte},
   booktitle = {34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {66},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2017},
   pages = {50:1--50:13},
   doi = {10.4230/LIPIcs.STACS.2017.50},
}

@inproceedings{LS00,
   author = {Lisovik, Leonid and Shkaravska, Olha},
   title = {On Fractal Dimension of Sets Defined by Transducers},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {261--270},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@article{LS12,
   author = {Lietz, Peter and Streicher, Thomas},
   title = {Realizability models refuting {I}shihara's boundedness principle},
   journal = {Annals of Pure and Applied Logic},
   volume = {163},
   number = {12},
   year = {2012},
   pages = {1803--1807},
   doi = {10.1016/j.apal.2012.04.004},
}

@inproceedings{LS17,
   author = {Lutz, Neil and Stull, D.M.},
   title = {Dimension Spectra of Lines},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {304--314},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_29},
}

@inproceedings{LS17a,
   author = {Lutz, Neil and Stull, D. M.},
   title = {Bounding the dimension of points on a line},
   editor = {Gopal, T. V. and J{\"a}ger, Gerhard and Steila, Silvia},
   booktitle = {Theory and Applications of Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {10185},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {425--439},
   doi = {10.1007/978-3-319-55911-7},
}

@inproceedings{LS17b,
   author = {Lutz, Neil and Stull, D. M.},
   title = {Bounding the dimension of points on a line},
   editor = {Gopal, T.V. and J{\"a}ger , Gerhard and Steila, Silvia},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Computer Science},
   volume = {10185},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {425--439},
   doi = {10.1007/978-3-319-55911-7},
}

@inproceedings{LS18,
   author = {Lutz, Neil and Stull, Donald M.},
   title = {Projection theorems using effective dimension},
   editor = {Potapov, Igor and Spirakis, Paul and Worrell, James},
   booktitle = {43rd {I}nternational {S}ymposium on {M}athematical {F}oundations of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {117},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2018},
   pages = {Art. No. 71, 15},
}

@article{LS20,
   author = {Lutz, Neil and Stull, D. M.},
   title = {Bounding the dimension of points on a line},
   journal = {Information and Computation},
   volume = {275},
   year = {2020},
   pages = {104601, 15},
   doi = {10.1016/j.ic.2020.104601},
}

@article{LS22,
   author = {Lutz, Neil and Stull, D. M.},
   title = {Dimension spectra of lines},
   journal = {Computability},
   volume = {11},
   number = {2},
   year = {2022},
   pages = {85--112},
   doi = {10.3233/com-190292},
}

@article{LU23,
   author = {L{\"{o}}h, Clara and Uschold, Matthias},
   title = {$L^2$-{B}etti numbers and computability of reals},
   journal = {Computability},
   volume = {12},
   number = {2},
   year = {2023},
   pages = {175--201},
   doi = {10.3233/COM-220416},
}

@inproceedings{Lub07,
   author = {Lubarsky, Robert S.},
   title = {On the {C}auchy completeness of the constructive {C}auchy reals},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {225--254},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Lub07a,
   author = {Lubarsky, Robert S.},
   title = {On the {C}auchy completeness of the constructive {C}auchy reals},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {396--414},
}

@article{Lub13,
   author = {Lubarsky, Robert S.},
   title = {On the failure of {BD}-{$\Bbb{N}$} and {BD}, and an application to the anti-{S}pecker property},
   journal = {J. Symbolic Logic},
   volume = {78},
   number = {1},
   year = {2013},
   pages = {39--56},
   doi = {10.2178/jsl.7801030},
}

@article{Lub19,
   author = {Lubarsky, Robert S.},
   title = {Separating the Fan Theore and its Weakenings {II}},
   journal = {The Journal of Symbolic Logic},
   volume = {84},
   number = {4},
   year = {2019},
   pages = {1484--1509},
   doi = {10.1017/jsl.2019.1},
}

@article{Luc22,
   author = {Lucier, Bradley J.},
   title = {The Nature of Numbers: Real Computing},
   journal = {Journal of Humanistic Mathematics},
   volume = {12},
   number = {1},
   year = {2022},
   pages = {317--347},
   doi = {10.5642/jhummath.202201.25},
}

@article{Luc77,
   author = {Luckhardt, Horst},
   title = {A fundamental effect in computations on real numbers},
   journal = {Theoretical Computer Science},
   volume = {5},
   number = {3},
   year = {1977},
   pages = {321--324},
}

@article{Lut05,
   author = {Lutz, Jack H.},
   title = {Effective fractal dimensions},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {1},
   year = {2005},
   pages = {62--72},
}

@incollection{Lut09,
   author = {Lutz, Jack H.},
   title = {A divergence formula for randomness and dimension},
   booktitle = {Mathematical theory and computational practice},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5635},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {342--351},
   doi = {10.1007/978-3-642-03073-4_35},
}

@article{Lut11,
   author = {Lutz, Jack H.},
   title = {A divergence formula for randomness and dimension},
   journal = {Theoret. Comput. Sci.},
   volume = {412},
   number = {1-2},
   year = {2011},
   pages = {166--177},
   doi = {10.1016/j.tcs.2010.09.005},
}

@article{Lut17,
   author = {Lutz, Neil},
   title = {Open problems column: {S}ome open problems in algorithmic fractal geometry},
   journal = {ACM SIGACT News},
   volume = {48},
   number = {4},
   year = {2017},
   pages = {35--41},
   note = {Edited by William Gasarch},
   doi = {10.1145/3173127.3173134},
}

@inproceedings{Lut17a,
   author = {Lutz, Neil},
   title = {Fractal intersections and products via algorithmic dimension},
   editor = {Larsen, Kim G. and Bodlaender, Hans L. and Raskin, Jean-Fran\c{c}ois},
   booktitle = {42nd {I}nternational {S}ymposium on {M}athematical {F}oundations of {C}omputer {S}cience},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {83},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern},
   year = {2017},
   pages = {Art. No. 58, 12},
}

@phdthesis{Lut21,
   author = {Lutz, Patrick},
   title = {Results on {M}artin's Conjecture},
   school = {University of California, Berkeley},
   year = {2021},
}

@inproceedings{LW07,
   author = {Lu, Hong and Weihrauch, Klaus},
   title = {Computable {R}iesz representation for the dual of {$C[0;1]$}},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {157--177},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{LW07a,
   author = {Lu, Hong and Weihrauch, Klaus},
   title = {Computable {R}iesz representation for the dual of {$C[0;1]$}},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {415--430},
}

@inproceedings{LW08,
   author = {Lu, Dianchen and Wang, Qingyan},
   title = {Computing the Solution of the m-{K}orteweg-de {V}ries Equation on {T}uring Machines},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {219--236},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@inproceedings{LW08a,
   author = {Lu, Hong and Weihrauch, Klaus},
   title = {Computable {R}iesz Representation for Locally Compact {H}ausdorff Spaces},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {3--12},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@inproceedings{LW08b,
   author = {Lutz, Jack and Weihrauch, Klaus},
   title = {Connectivity Properties of Dimension Level Sets},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {295--304},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{LW08c,
   author = {Lu, Hong and Weihrauch, Klaus},
   title = {Computable {R}iesz Representation for Locally Compact {H}ausdorff Spaces},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {845--860},
}

@article{LW08d,
   author = {Lutz, Jack H. and Weihrauch, Klaus},
   title = {Connectivity properties of dimension level sets},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {483--491},
}

@inproceedings{LZ08,
   author = {Le Roux, St\'ephane and Ziegler, Martin},
   title = {Singular Coverings and Non-Uniform Notions of Closed Set Computability},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {73--88},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{LZ08a,
   author = {Le Roux, St\'ephane and Ziegler, Martin},
   title = {Singular coverings and non-uniform notions of closed set computability},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {545--560},
}

@inproceedings{LZ20,
   author = {Lim, Donghyun and Ziegler, Martin},
   title = {Quantitative Coding and Complexity Theory of Compact Metric Spaces},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {205--214},
   doi = {10.1007/978-3-030-51466-2_18},
}

@article{Mac16,
   author = {Macintyre, Angus},
   title = {Turing meets {S}chanuel},
   journal = {Annals of Pure and Applied Logic},
   volume = {167},
   number = {10},
   year = {2016},
   pages = {901--938},
   doi = {10.1016/j.apal.2015.10.003},
}

@book{Mai18,
   author = {Mainzer, Klaus},
   title = {The Digital and the Real World},
   publisher = {World Scientific Publishing},
   address = {Singapore},
   year = {2018},
   doi = {10.1142/10583},
}

@phdthesis{Mal15,
   author = {Maler, Adrian},
   title = {Effective Theory of {L}{\'e}vy and {F}eller Processes},
   school = {The Pennsylvania State University},
   year = {2015},
}

@inproceedings{Man12,
   author = {Manin, Yuri I.},
   title = {A computability challenge: asymptotic bounds for error-correcting codes},
   booktitle = {Computation, physics and beyond},
   series = {Lecture Notes in Computer Science},
   volume = {7160},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {174--182},
}

@article{Man12a,
   author = {Manin, Yuri I.},
   title = {Renormalisation and computation {II}: time cut-off and the Halting Problem},
   journal = {Mathematical Structures in Computer Science},
   volume = {22},
   number = {5},
   publisher = {Cambridge University Press},
   year = {2012},
   pages = {729--751},
   doi = {10.1017/S0960129511000508},
}

@incollection{Man13,
   author = {Manin, Yuri I.},
   title = {Renormalization and computation {I}: motivation and background},
   booktitle = {O{PERADS} 2009},
   series = {S\'{e}min. Congr.},
   volume = {26},
   publisher = {Soc. Math. France, Paris},
   year = {2013},
   pages = {181--222},
}

@article{Man71,
   author = {Manukjan, S. N.},
   title = {The interior points of non-degenerate constructive curves},
   journal = {Doklady Akademii Nauk SSSR},
   volume = {196},
   year = {1971},
   pages = {768--769},
}

@article{Man71a,
   author = {Manukjan, S. N.},
   title = {On interior points of nondegenerate constructive curves},
   journal = {Soviet Mathematics. Doklady},
   volume = {12},
   publisher = {American Mathematical Society (AMS), Providence, RI},
   year = {1971},
   pages = {246--248},
}

@article{Man73,
   author = {Manukjan, S. N.},
   title = {Constructive everywhere dense simple arcs},
   journal = {Izvestija Akademii Nauk Armjansko\u{\i} SSR. Serija Matematika},
   volume = {8},
   number = {4},
   year = {1973},
   pages = {291--305, 346},
}

@article{Man73a,
   author = {S. N. {Manukjan}},
   title = {{\"U}ber konstruktive {\"u}berall dichte einfache {B}{\"o}gen.},
   journal = {Izvestiya Akademii Nauk Armyanskoi SSR. Matematika},
   volume = {8},
   publisher = {Academy of Sciences of the Armenian Soviet Socialist Republic - Armenian SSR (Akademiya Nauk Armyanskoi SSR), Yerevan},
   year = {1973},
   pages = {291--305},
}

@article{Man75,
   author = {Manukjan, S. N.},
   title = {The stability of constructive simple arcs with respect to algorithmic transformations},
   journal = {Doklady Akademii Nauk SSSR},
   volume = {220},
   year = {1975},
   pages = {1267--1270},
}

@article{Man75a,
   author = {Manukjan, S. N.},
   title = {Some properties of partitionings of the plane by nondegenerate constructive curves},
   journal = {Trudy Vy\v{c}isl. Centra Akad. Nauk Armjan. SSR i Erevan. Gos. Univ. Mat. Voprosy Kibernet. i Vy\v{c}isl. Tehn.},
   volume = {8},
   year = {1975},
   pages = {67--95},
}

@article{Man75b,
   author = {Manukjan, S. N.},
   title = {The stability of constructive simple arcs with respect to algorithmic transformations},
   journal = {Soviet Mathematics. Doklady},
   volume = {16},
   publisher = {American Mathematical Society (AMS), Providence, RI},
   year = {1975},
   pages = {238--242},
}

@article{Man75c,
   author = {Manukjan, S. N.},
   title = {Some properties of partitioning of the plane by non-degenerate constructive curves},
   journal = {Tr. Vychisl. Tsentra Akad. Nauk Arm. SSR Erevan. Gos. Univ.},
   volume = {8},
   publisher = {Izdatel'stvo Akademii Nauk Armyansko\u{\i} SSR, Erevan},
   year = {1975},
   pages = {67--95},
}

@article{Man76,
   author = {Mandelkern, Mark},
   title = {Connectivity of an interval},
   journal = {Proceedings of the American Mathematical Society},
   volume = {54},
   year = {1976},
   pages = {170--172},
}

@incollection{Man76a,
   author = {Manukjan, S. N.},
   title = {Some topological peculiarities of constructive simple arcs},
   editor = {Markov, A.A. and Kushner, B. A.},
   booktitle = {Studies in the theory of algorithms and mathematical logic, {V}ol. 2 ({R}ussian)},
   publisher = {Vy\v{c}isl. Centr Akad. Nauk SSSR, Moscow},
   year = {1976},
   pages = {122--129, 158},
}

@article{Man77,
   author = {Manukyan, S. N.},
   title = {On a property of the notion of interior and exterior point with respect to constructive closed curve},
   journal = {Izvestiya Akademii Nauk Armyanskoi SSR. Matematika},
   volume = {12},
   publisher = {Academy of Sciences of the Armenian Soviet Socialist Republic - Armenian SSR (Akademiya Nauk Armyanskoi SSR), Yerevan},
   year = {1977},
   pages = {303--309},
}

@article{Man82,
   author = {Mandelkern, Mark},
   title = {Continuity of monotone functions},
   journal = {Pacific Journal of Mathematics},
   volume = {99},
   year = {1982},
   pages = {413--418},
}

@article{Man82a,
   author = {Manukyan, S. N.},
   title = {Algorithms transforming constructive curves into points},
   journal = {Matematicheskie Voprosy Kibernetiki i Vychislitel{\cprime} no\u{\i} Tekhniki. Trudy Vychislitel{\cprime} nogo Tsentra Akademii Nauk Armyansko\u{\i} SSR i Erevanskogo Gosudarstvennogo Universiteta},
   number = {10},
   year = {1982},
   pages = {55--71},
}

@article{Man83,
   author = {Mandelkern, Mark},
   title = {Constructive continuity},
   journal = {Memoirs of the American Mathematical Society},
   volume = {42},
   number = {277},
   address = {Providence},
   year = {1983},
   pages = {v+117},
   doi = {10.1090/memo/0277},
}

@article{Man84,
   author = {Manukyan, S. N.},
   title = {The {D}irichlet problem in constructive analysis},
   journal = {Akademiya Nauk Armyansko\u{\i} SSR. Doklady},
   volume = {79},
   number = {2},
   year = {1984},
   pages = {58--62},
}

@article{Man86,
   author = {Manukyan, S. N.},
   title = {On uniqueness properties of constructive analytic functions},
   journal = {Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences},
   volume = {21},
   number = {2},
   publisher = {Allerton Press, Inc., New York},
   year = {1986},
   pages = {95--103},
}

@article{Man86a,
   author = {Manukyan, S. N.},
   title = {Uniqueness properties for constructive analytic functions},
   journal = {Izvestiya Akademii Nauk Armyansko\u{\i} SSR. Seriya Matematika},
   volume = {21},
   number = {2},
   year = {1986},
   pages = {198--206, 208},
}

@article{Man88,
   author = {Mandelkern, Mark},
   title = {Constructively complete finite sets},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {34},
   number = {2},
   year = {1988},
   pages = {97--103},
}

@article{Man88a,
   author = {Mandelkern, Mark},
   title = {Limited Omniscience and the {B}olzano-{W}eierstrass Principle},
   journal = {Bulletin of the London Mathematical Society},
   volume = {20},
   year = {1988},
   pages = {319--320},
}

@inproceedings{Mar00,
   author = {Martin, Keye},
   title = {Complexity and Verification of a Renee Equation},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {272},
   publisher = {FernUniversit\"at Hagen},
   year = {2000},
   month = sep,
   pages = {271--286},
   note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000},
}

@phdthesis{Mar12,
   author = {Marks, Andrew Scott},
   title = {Recursion theory and countable {B}orel equivalence relations},
   school = {University of California, Berkeley},
   year = {2012},
}

@article{Mar54,
   author = {Markov, A.A.},
   title = {On the continuity of constructive functions ({R}ussian)},
   journal = {Uspekhi Mat. Nauk (N.S.)},
   volume = {9},
   year = {1954},
   pages = {226--230},
}

@article{Mar58,
   author = {Markov, A.A.},
   title = {On constructive functions ({R}ussian)},
   journal = {Trudy Mat.\ Inst.\ Steklov},
   volume = {52},
   year = {1958},
   pages = {315--348},
   note = {(English trans. in AMS Trans. (2) 29, 1963)},
}

@book{Mar70,
   author = {Martin-L\"{o}f, Per},
   title = {Notes on constructive mathematics},
   publisher = {Almqvist and Wiksell},
   address = {Stockholm},
   year = {1970},
}

@article{Mar78,
   author = {Margenstern, Maurice},
   title = {On a variant of constructivisation of the theory of almost periodic functions},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {24},
   number = {6},
   year = {1978},
   pages = {495--507},
}

@article{Mar95,
   author = {Margenstern, Maurice},
   title = {L'{\'e}cole constructive de {M}arkov},
   journal = {Revue d'histoire des math\'ematiques},
   volume = {1},
   number = {2},
   publisher = {Soci{\'e}t{\'e} math{\'}ematique de France},
   year = {1995},
   pages = {271--305},
}

@article{May02,
   author = {Mayordomo, Elvira},
   title = {A {K}olmogorov complexity characterization of constructive {H}ausdorff dimension},
   journal = {Information Processing Letters},
   volume = {84},
   number = {1},
   year = {2002},
   pages = {1--3},
   doi = {10.1016/S0020-0190(02)00343-5},
}

@article{May18,
   author = {Mayordomo, Elvira},
   title = {Effective {H}ausdorff dimension in general metric spaces},
   journal = {Theory of Computing Systems},
   volume = {62},
   number = {7},
   year = {2018},
   pages = {1620--1636},
   doi = {10.1007/s00224-018-9848-3},
}

@book{Maz63,
   author = {Mazur, Stanis{\l}aw},
   title = {Computable Analysis},
   series = {Razprawy Matematyczne},
   volume = {33},
   publisher = {P{\'a}nstwowe Wydawnictwo Naukowe},
   address = {Warsaw},
   year = {1963},
}

@inproceedings{MBV01,
   author = {Meyssonnier, Charles and Boldi, Paolo and Vigna, Sebastiano},
   title = {$\delta$-Approximable Functions},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {187--199},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{MC04,
   author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
   title = {Real recursive functions and their hierarchy},
   journal = {Journal of Complexity},
   volume = {20},
   number = {6},
   year = {2004},
   pages = {835--857},
}

@incollection{MC04a,
   author = {Mayordomo C{\'a}mara, Elvira},
   title = {Effective {H}ausdorff dimension},
   booktitle = {Classical and new paradigms of computation and their complexity hierarchies},
   series = {Trends Log. Stud. Log. Libr.},
   volume = {23},
   publisher = {Kluwer Acad. Publ.},
   address = {Dordrecht},
   year = {2004},
   pages = {171--186},
   doi = {10.1007/978-1-4020-2776-5_10},
}

@inproceedings{MC05,
   author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
   title = {The computational power of continuous dynamic systems},
   editor = {Maurice Margenstern},
   booktitle = {Machines, Computations, Universality},
   series = {Lecture Notes in Computer Science},
   volume = {3354},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {163--174},
   note = {Conference on Machines, Computations, Universality, MCU 2004, Saint-Petersburg, Russia, September 21--26, 2004},
}

@article{MC06,
   author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
   title = {The {$P\not=NP$} conjecture in the context of real and complex analysis},
   journal = {Journal of Complexity},
   volume = {22},
   number = {2},
   year = {2006},
   pages = {287--303},
}

@article{MC07,
   author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
   title = {A new conceptual framework for analog computation},
   journal = {Theoretical Computer Science},
   volume = {374},
   year = {2007},
   pages = {277--290},
}

@article{McC21,
   author = {McCarthy, Ethan},
   title = {Pointwise complexity of the derivative of a computable function},
   journal = {Archive for Mathematical Logic},
   volume = {60},
   number = {7--8},
   year = {2021},
   pages = {981--994},
   doi = {10.1007/s00153-021-00769-4},
}

@inproceedings{McN07,
   author = {McNicholl, Timothy H.},
   title = {Computability and the implicit function theorem},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {3--15},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@inproceedings{McN08,
   author = {McNicholl, Timothy H.},
   title = {Uniformly computable aspects of inner functions},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {27--36},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{McN08a,
   author = {McNicholl, Timothy H.},
   title = {A uniformly computable Implicit Function Theorem},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {3},
   year = {2008},
   pages = {272--279},
}

@article{McN08b,
   author = {McNicholl, Timothy H.},
   title = {Uniformly computable aspects of inner functions: estimation and factorization},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {508--518},
}

@article{McN08c,
   author = {McNulty, George F.},
   title = {The equational compatibility problem for the real line},
   journal = {Algebra Universalis},
   volume = {59},
   number = {3-4},
   year = {2008},
   pages = {259--275},
}

@article{McN12,
   author = {McNicholl, Timothy H.},
   title = {An effective {C}arath\'eodory theorem},
   journal = {Theory of Computing Systems},
   volume = {50},
   number = {4},
   year = {2012},
   pages = {579--588},
   doi = {10.1007/s00224-011-9356-1},
}

@article{McN13,
   author = {McNicholl, Timothy H.},
   title = {The power of backtracking and the confinement of length},
   journal = {Proceedings of the American Mathematical Society},
   volume = {141},
   number = {3},
   year = {2013},
   pages = {1041--1053},
   doi = {10.1090/S0002-9939-2012-11385-1},
}

@article{McN13a,
   author = {McNicholl, Timothy H.},
   title = {Computing links and accessing arcs},
   journal = {Mathematical Logic Quarterly},
   volume = {59},
   number = {1-2},
   year = {2013},
   pages = {101--107},
   doi = {10.1002/malq.201200026},
}

@inproceedings{McN13b,
   author = {McNicholl, Timothy H.},
   title = {On the computable theory of bounded analytic functions},
   booktitle = {Blaschke Products and Their Applications},
   series = {Fields Inst. Commun.},
   volume = {65},
   publisher = {Springer},
   address = {New York},
   year = {2013},
   pages = {223--248},
   doi = {10.1007/978-1-4614-5341-3_13},
}

@article{McN14,
   author = {McNicholl, Timothy H.},
   title = {Computing boundary extensions of conformal maps},
   journal = {LMS Journal of Computation and Mathematics},
   volume = {17},
   number = {1},
   year = {2014},
   pages = {360--378},
   doi = {10.1112/S1461157014000096},
}

@inproceedings{McN15,
   author = {McNicholl, Timothy H.},
   title = {A Note on the Computable Categoricity of $\ell^p$ Spaces},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {268--275},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_27},
}

@article{McN17,
   author = {McNicholl, Timothy H.},
   title = {Computable copies of $l_p$},
   journal = {Computability},
   volume = {6},
   number = {4},
   year = {2017},
   pages = {391--408},
   doi = {10.3233/COM-160065},
}

@article{McN20,
   author = {McNicholl, Timothy H.},
   title = {Computing the exponent of a {L}ebesgue space},
   journal = {Journal of Logic and Analysis},
   volume = {12},
   year = {2020},
   pages = {Paper No. 7, 28},
   doi = {10.4115/jla.2020.12.7},
}

@article{McN21,
   author = {McNicholl, Timothy H.},
   title = {Continuous logic and embeddings of {L}ebesgue spaces},
   journal = {Archive for Mathematical Logic},
   volume = {60},
   number = {1},
   year = {2021},
   pages = {105--119},
   doi = {10.1007/s00153-020-00734-7},
}

@article{ME07,
   author = {Escard\'{o}, Mart\'{\i}n H. and Marcial-Romero, J. Raymundo},
   title = {Semantics of a sequential language for exact real-number computation},
   journal = {Theoretical Computer Science},
   volume = {379},
   year = {2007},
   pages = {120--141},
}

@article{Mee23,
   author = {Meer, Klaus},
   title = {Proof verification in real number complexity},
   journal = {Pure and Applied Functional Analysis},
   volume = {8},
   number = {5},
   year = {2023},
   pages = {1135--1157},
}

@article{Mel13,
   author = {Melnikov, Alexander G.},
   title = {Computably isometric spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {78},
   number = {4},
   year = {2013},
   month = {December},
   pages = {1055--1085},
   doi = {doi:10.2178/jsl.7804030},
}

@article{Mel21,
   author = {Melnikov, A. G.},
   title = {New degree spectra of {P}olish spaces},
   journal = {Siberian Mathematical Journal},
   volume = {62},
   number = {5},
   year = {2021},
   pages = {882--894},
   doi = {10.1134/s0037446621050116},
}

@article{Men05,
   author = {M{\'e}nissier-Morain, Val{\'e}rie},
   title = {Arbitrary precision real arithmetic: design and algorithms},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {64},
   year = {2005},
   pages = {13--39},
}

@article{Mes56a,
   author = {Meschkowski, Herbert},
   title = {Rekursive reelle {Z}ahlen},
   journal = {Math. Z.},
   volume = {66},
   year = {1956},
   pages = {189--202},
}

@inproceedings{MH05,
   author = {McLaughlin, Sean and Harrison, John},
   title = {A proof-producing decision procedure for real arithmetic},
   booktitle = {Automated deduction---{CADE}-20},
   series = {Lecture Notes in Comput. Sci.},
   volume = {3632},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {295--314},
   doi = {10.1007/11532231_22},
}

@inproceedings{Mie08,
   author = {Mielke, J\"oran},
   title = {Refined Bounds on {K}olmogorov Complexity for $\omega$-Languages},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {181--189},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@inproceedings{Mil02,
   author = {Miller, Joseph S.},
   title = {Effectiveness for Embedded Spheres and Balls},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@phdthesis{Mil02a,
   author = {Miller, Joseph Stephen},
   title = {Pi-0-1 Classes in Computable Analysis and Topology},
   school = {Cornell University},
   address = {Ithaca, USA},
   year = {2002},
}

@article{Mil04,
   author = {Miller, Joseph S.},
   title = {Degrees of unsolvability of continuous functions},
   journal = {The Journal of Symbolic Logic},
   volume = {69},
   number = {2},
   year = {2004},
   pages = {555--584},
}

@incollection{Mil17,
   author = {Miller, Joseph S.},
   title = {On Work of {B}armpalias and {L}ewis-{P}ye: A Derivation on the D.C.E. Reals},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {644--659},
   doi = {10.1007/978-3-319-50062-1_39},
}

@article{Mil22,
   author = {Miller, Russell},
   title = {Effectivizing {L}usin's theorem},
   journal = {Journal of Logic and Analysis},
   volume = {14},
   year = {2022},
   pages = {Paper No. 3, 32},
   doi = {10.4115/jla.2022.14.3},
}

@article{Mil70,
   author = {Miller, Webb},
   title = {Recursive function theory and numerical analysis},
   journal = {Journal of Computer and Systems Sciences},
   volume = {4},
   year = {1970},
   pages = {465--472},
}

@article{Miy13,
   author = {Miyabe, Kenshi},
   title = {{$L^1$}-Computability, Layerwise Computability and {S}olovay Reducibility},
   journal = {Computability},
   volume = {2},
   number = {1},
   year = {2013},
   pages = {15--29},
   doi = {10.3233/COM-13015},
}

@article{Miy13a,
   author = {Miyabe, Kenshi},
   title = {Characterization of {K}urtz randomness by a differentiation theorem},
   journal = {Theory Comput. Syst.},
   volume = {52},
   number = {1},
   year = {2013},
   pages = {113--132},
   doi = {10.1007/s00224-012-9422-3},
}

@article{Miy14,
   author = {Miyabe, Kenshi},
   title = {Algorithmic randomness over general spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {60},
   number = {3},
   year = {2014},
   pages = {184--204},
   doi = {10.1002/malq.201200051},
}

@article{Miy16,
   author = {Miyabe, Kenshi},
   title = {Reducibilities relating to {S}chnorr randomness},
   journal = {Theory of Computing Systems},
   volume = {58},
   number = {3},
   year = {2016},
   pages = {441--462},
   doi = {10.1007/s00224-014-9583-3},
}

@article{Miy18,
   author = {Miyabe, Kenshi},
   title = {Coherence of reducibilities with randomness notions},
   journal = {Theory of Computing Systems},
   volume = {62},
   number = {7},
   year = {2018},
   pages = {1599--1619},
   doi = {10.1007/s00224-017-9752-2},
}

@inproceedings{Miy19,
   author = {Miyabe, Kenshi},
   title = {Uniform Relativization},
   editor = {Manea, Florin and Martin, Barnaby and Paulusma, Dani{\"e}l and Primiero, Giuseppe},
   booktitle = {Computing with Foresight and Industry},
   series = {Lecture Notes in Computer Science},
   volume = {11558},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {50--61},
   note = {15th Conference on Computability in Europe, CiE 2019, Durham, UK, July 15-19, 2019},
   doi = {10.1007/978-3-030-22996-2_5},
}

@inproceedings{Miy19a,
   author = {Miyabe, Kenshi},
   title = {Muchnik degrees and {M}edvedev degrees of randomness notions},
   booktitle = {Proceedings of the 14th and 15th {A}sian {L}ogic {C}onferences},
   publisher = {World Sci. Publ.},
   address = {Hackensack, NJ},
   year = {2019},
   pages = {108--128},
}

@inproceedings{MK08,
   author = {Morozov, Andrei and Korovina, Margarita},
   title = {Remarks on $\Sigma$-definability without the equality test over the reals},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {315--322},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{MK08a,
   author = {Morozov, Andrei S. and Korovina, Margarita V.},
   title = {On {$\Sigma$}-definability without equality over the real numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {535--544},
}

@article{MK19,
   author = {Mantry, Poonam and Kaushik, S. K.},
   title = {Computability of frames in computable {H}ilbert spaces},
   journal = {International Journal of Computer Mathematics: Computer Systems Theory},
   volume = {4},
   number = {1},
   year = {2019},
   pages = {16--29},
   doi = {10.1080/23799927.2018.1553894},
}

@article{MKO04,
   author = {Mulupuru, Bharat C. and Kreinovich, Vladik and Osegueda, Roberto},
   title = {Interval Approach to Phase Measurements Can Lead to Arbitrarily Complex Sets - A Theorem and Ways Around It},
   journal = {Numerical Algorithms},
   volume = {37},
   year = {2004},
   pages = {285--299},
}

@inproceedings{MM08,
   author = {Marcial-Romero, J. Raymundo and Moshier, M. Andrew},
   title = {Sequential Real Number Computation and Recursive Relations},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {171--189},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{MM08a,
   author = {Marcial-Romero, J. Raymundo and Moshier, M. Andrew},
   title = {Sequential real number computation and recursive relations},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {492--507},
}

@article{MM08b,
   author = {Matheson, Alec and McNicholl, Timothy H.},
   title = {Computable analysis and {B}laschke products},
   journal = {Proceedings of the American Mathematical Society},
   volume = {136},
   number = {1},
   year = {2008},
   pages = {321--332},
   doi = {10.1090/S0002-9939-07-09102-2},
}

@article{MM14,
   author = {Manin, Yuri and Marcolli, Matilde},
   title = {Kolmogorov complexity and the asymptotic bound for error-correcting codes},
   journal = {Journal of Differential Geometry},
   volume = {97},
   number = {1},
   year = {2014},
   pages = {91--108},
}

@inproceedings{MM93,
   author = {M{\"u}ller, Norbert Th. and Moiske, B.},
   title = {Solving Initial Value Problems in Polynomial Time},
   booktitle = {Proceedings of the 22th JAIIO - Panel'93, Part 2},
   year = {1993},
   pages = {283--293},
   note = {{B}uenos Aires, 1993},
}

@article{MMOS90,
   author = {Matijasevi\v{c}, Yu.V. and Mints, G.E. and Orevkov, V.P. and Slisenko, A.O.},
   title = {Nikola\u{i} {A}leksandrovich {S}hanin (on his seventieth birthday), ({R}ussian)},
   journal = {Uspekhi Mat. Nauk},
   volume = {45},
   year = {1990},
   pages = {205--206},
   note = {[translated in: Russian Math. Surveys, 45:1 (1990) 239--240]},
}

@article{MN13,
   author = {Melnikov, Alexander and Nies, Andr{\'e}},
   title = {{$K$}-triviality in computable metric spaces},
   journal = {Proc. Amer. Math. Soc.},
   volume = {141},
   number = {8},
   year = {2013},
   pages = {2885--2899},
   doi = {10.1090/S0002-9939-2013-11528-5},
}

@article{MN16,
   author = {Melnikov, Alexander G. and Ng, Keng Meng},
   title = {Computable structures and operations on the space of continuous functions},
   journal = {Fundamenta Mathematicae},
   volume = {233},
   number = {2},
   year = {2016},
   pages = {101-141},
   doi = {10.4064/fm36-12-2015},
}

@article{MN23,
   author = {Melnikov, Alexander G. and Ng, Keng Meng},
   title = {Separating notions in effective topology},
   journal = {International Journal of Algebra and Computation},
   volume = {online},
   year = {2023},
   doi = {10.1142/S0218196723500649},
}

@inproceedings{MN82,
   author = {Metakides, George and Nerode, Anil},
   title = {The introduction of non-recursive methods into mathematics},
   editor = {Troelstra, A.S. and van Dalen, D.},
   booktitle = {The L.E.J. Brouwer Centenary Symposium},
   series = {Studies in Logic and the foundations of mathematics},
   volume = {110},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1982},
   pages = {319--335},
   note = {Proceedings of the conference held in Noordwijkerhout, June 8--13, 1981},
}

@article{MNS18,
   author = {Miyabe, Kenshi and Nies, Andr{\'e} and Stephan, Frank},
   title = {Randomness and {S}olovay degrees},
   journal = {Journal of Logic and Analysis},
   volume = {10},
   year = {2018},
   pages = {Paper No. 3, 13},
}

@inproceedings{MNS85,
   author = {Metakides, George and Nerode, Anil and Shore, Richard A.},
   title = {Recursive limits on the {H}ahn-{B}anach theorem},
   editor = {Rosenblatt, Murray},
   booktitle = {Errett Bishop: Reflections on Him and His Research},
   series = {Contemporary Mathematics},
   volume = {39},
   publisher = {American Mathematical Society},
   address = {Providence},
   year = {1985},
   pages = {85--91},
   note = {Proceedings of the memorial meeting for Errett Bishop, University of California, San Diego, September 24, 1983},
}

@article{MNZ16,
   author = {Miyabe, Kenshi and Nies, Andr\'e and Zhang, Jing},
   title = {Using almost-everywhere theorems from analysis to study randomness},
   journal = {The Bulletin of Symbolic Logic},
   volume = {22},
   number = {3},
   year = {2016},
   pages = {305--331},
   doi = {10.1017/bsl.2016.10},
}

@incollection{Mon20,
   author = {Monin, Benoit},
   title = {Higher randomness},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {232--300},
   doi = {10.1017/9781108781718.009},
}

@article{Moo96,
   author = {Moore, Cristopher},
   title = {Recursion theory on the reals and continuous-time computation},
   journal = {Theoretical Computer Science},
   volume = {162},
   number = {1},
   year = {1996},
   pages = {23--44},
}

@inproceedings{Mor01a,
   author = {Mori, Takakazu},
   title = {Computabilities of Fine-Continuous Functions},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {200--221},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Mor02,
   author = {Mori, Takakazu},
   title = {On the computability of {W}alsh functions},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {419--436},
}

@incollection{Mor17,
   author = {Morozov, Andrey S.},
   title = {Computable Model Theory over the Reals},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {354--365},
   doi = {10.1007/978-3-319-50062-1_22},
}

@article{Mor18,
   author = {Moriakov, Nikita},
   title = {On Effective {B}irkhoff's Ergodic Theorem for Computable Actions of Amenable Groups},
   journal = {Theory of Computing Systems},
   volume = {62},
   number = {5},
   year = {2018},
   month = {Jul},
   pages = {1269--1287},
   doi = {10.1007/s00224-017-9822-5},
}

@inproceedings{Mos08,
   author = {Moser, Philippe},
   title = {On the Convergence of {F}ourier Series of Computable {L}ebesgue Integrable Functions},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {13--18},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Mos10,
   author = {Moschovakis, Joan Rand},
   title = {Unavoidable sequences in constructive analysis},
   journal = {MLQ Math. Log. Q.},
   volume = {56},
   number = {2},
   year = {2010},
   pages = {205--215},
   doi = {10.1002/malq.200810046},
}

@article{Mos10a,
   author = {Moschovakis, Yiannis N.},
   title = {Classical descriptive set theory as a refinement of effective descriptive set theory},
   journal = {Annals of Pure and Applied Logic},
   volume = {162},
   number = {3},
   year = {2010},
   pages = {243--255},
   doi = {10.1016/j.apal.2010.09.010},
}

@article{Mos53,
   author = {Mostowski, Andrzej},
   title = {A lemma concerning recursive functions and its applications},
   journal = {Bull. Acad. Polon. Sci. Cl. III},
   volume = {1},
   year = {1953},
   pages = {277--280},
}

@book{Mos55,
   author = {Mostowski, Andrzej},
   title = {The present state of investigations on the foundations of mathematics},
   series = {Rozprawy Matematyczne},
   volume = {9},
   publisher = {Polska Akademia Nauk},
   address = {Warsaw},
   year = {1955},
}

@article{Mos57,
   author = {Mostowski, Andrzej},
   title = {On computable sequences},
   journal = {Fundamenta Mathematicae},
   volume = {44},
   year = {1957},
   pages = {37--51},
}

@inproceedings{Mos59,
   author = {Mostowski, Andrzej},
   title = {On various degrees of constructivism},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {178--194},
   note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957},
}

@article{Mos64,
   author = {Moschovakis, Yiannis Nicholas},
   title = {Notation systems and recursive ordered fields},
   journal = {Compositio Math.},
   volume = {17},
   year = {1964},
   pages = {40--71},
}

@article{Mos64a,
   author = {Moschovakis, Yiannis Nicholas},
   title = {Recursive metric spaces},
   journal = {Fundamenta Mathematicae},
   volume = {55},
   year = {1964},
   pages = {215--238},
}

@article{Mos96,
   author = {Moschovakis, J.R.},
   title = {A classical view of the intuitionistic continuum},
   journal = {Annals of Pure and Applied Logic},
   volume = {81},
   year = {1996},
   pages = {9--24},
}

@article{MP19,
   author = {Monin, Benoit and Patey, Ludovic},
   title = {{$\Pi^0_1$}-encodability and omniscient reductions},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {60},
   number = {1},
   year = {2019},
   pages = {1--12},
   doi = {10.1215/00294527-2018-0020},
}

@inproceedings{MR13,
   author = {Miyabe, Kenshi and Rute, Jason},
   title = {Van {L}ambalgen's theorem for uniformly relative {S}chnorr and computable randomness},
   editor = {Downey, Rod and Brendle, J\"{o}rg and Goldblatt, Robert and Kim, Byunghan},
   booktitle = {Proceedings of the 12th {A}sian {L}ogic {C}onference},
   publisher = {World Scientifc Publishing},
   address = {Hackensack, NJ},
   year = {2013},
   pages = {251--270},
   note = {Held in Wellington, December 15--20, 2011},
   doi = {10.1142/9789814449274_0014},
}

@article{MR18,
   author = {Miller, Joseph S. and Rute, Jason},
   title = {Energy randomness},
   journal = {Israel Journal of Mathematics},
   volume = {227},
   number = {1},
   year = {2018},
   pages = {1--26},
   doi = {10.1007/s11856-018-1731-z},
}

@article{MR23,
   author = {McNicholl, Timothy H. and Rojas, Diego A.},
   title = {Effective notions of weak convergence of measures on the real line},
   journal = {Information and Computation},
   volume = {290},
   year = {2023},
   pages = {Paper No. 104997, 11},
   doi = {10.1016/j.ic.2022.104997},
}

@article{MRSS15,
   author = {Motto Ros, Luca and Schlicht, Philipp and Selivanov, Victor},
   title = {{W}adge-like reducibilities on arbitrary quasi-{P}olish spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1705--1754},
   doi = {10.1017/S0960129513000339},
}

@article{MS02,
   author = {Menni, Mat{\'{\i}}as and Simpson, Alex},
   title = {Topological and limit-space subcategories of countably-based equilogical spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {12},
   number = {6},
   year = {2002},
   pages = {739--770},
   doi = {10.1017/S0960129502003699},
}

@article{MS15,
   author = {Miyamoto, Kenji and Schwichtenberg, Helmut},
   title = {Program extraction in exact real arithmetic},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1692--1704},
   doi = {10.1017/S0960129513000327},
}

@article{MS19,
   author = {McNicholl, Timothy H. and Stull, Donald M.},
   title = {The isometry degree of a computable copy of {$\ell^{p1}$}},
   journal = {Computability},
   volume = {8},
   number = {2},
   year = {2019},
   pages = {179--189},
}

@incollection{MS22,
   author = {Miltzow, Tillmann and Schmiermann, Reinier F.},
   title = {On classifying continuous constraint satisfaction problems},
   booktitle = {2021 {IEEE} 62nd {A}nnual {S}ymposium on {F}oundations of {C}omputer {S}cience---{FOCS} 2021},
   publisher = {IEEE Computer Society},
   address = {Los Alamitos, CA},
   year = {2022},
   pages = {781--791},
   doi = {10.1109/FOCS52979.2021.00081},
}

@article{MS55,
   author = {Myhill, J. and Shepherdson, J.},
   title = {Effective operations on partial recursive functions},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {1},
   year = {1955},
   pages = {310--317},
}

@book{MSS18,
   title = {Proof and Computation},
   editor = {Mainzer, Klaus and Schuster, Peter and Schwichtenberg, Helmut},
   publisher = {World Scientific Publishing},
   address = {Singapore},
   year = {2018},
   doi = {10.1142/11005},
}

@inproceedings{MT20,
   author = {Merkle, Wolfgang and Titov, Ivan},
   title = {Speedable Left-c.e. Numbers},
   editor = {Henning Fernau},
   booktitle = {Computer Science - Theory and Applications - 15th International Computer Science Symposium in Russia, {CSR} 2020, Yekaterinburg, Russia, June 29 - July 3, 2020, Proceedings},
   series = {Lecture Notes in Computer Science},
   volume = {12159},
   publisher = {Springer},
   year = {2020},
   pages = {303--313},
   doi = {10.1007/978-3-030-50026-9_22},
}

@inproceedings{MTY05,
   author = {Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko},
   title = {Fine computable functions and effective {F}ine convergence},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {177--197},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@inproceedings{MTY10,
   author = {Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko},
   title = {Fine convergence of functions and its effectivization},
   booktitle = {Automata, formal languages and algebraic systems},
   publisher = {World Sci. Publ., Hackensack, NJ},
   year = {2010},
   pages = {139--162},
   doi = {10.1142/9789814317610_0011},
}

@article{MTY13,
   author = {Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko},
   title = {Computability of Probability Distributions and Characteristic Functions},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   year = {2013},
   pages = {3:9, 11},
   doi = {10.2168/LMCS-9(3:9)2013},
}

@inproceedings{MTY97,
   author = {Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko},
   title = {Computability Structures on Metric Spaces},
   editor = {Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and Reeves, Steve and Witten, Ian H.},
   booktitle = {Combinatorics, Complexity, and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {Singapore},
   year = {1997},
   pages = {351--362},
   note = {Proceedings of DMTCS'96},
}

@inproceedings{Mue01,
   author = {M{\"u}ller, Norbert Th.},
   title = {The {iRRAM}: Exact Arithmetic in {C}++},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {222--252},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Mue02,
   author = {M{\"u}ller, Norbert Th.},
   title = {Real Numbers and {BDD}s},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@inproceedings{Mue86a,
   author = {M{\"u}ller, Norbert Th.},
   title = {Subpolynomial complexity classes of real functions and real numbers},
   editor = {Kott, Laurent},
   booktitle = {Proceedings of the 13th International Colloquium on Automata, Languages, and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {226},
   publisher = {Springer},
   address = {Berlin},
   year = {1986},
   pages = {284--293},
}

@inproceedings{Mue87a,
   author = {M{\"u}ller, Norbert Th.},
   title = {Uniform Computational Complexity of {T}aylor series},
   editor = {Ottmann, Thomas},
   booktitle = {Proceedings of the 14th International Colloquium on Automata, Languages, and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {267},
   publisher = {Springer},
   address = {Berlin},
   year = {1987},
   pages = {435--444},
}

@phdthesis{Mue88,
   author = {M{\"u}ller, Norbert Th.},
   title = {Untersuchungen zur Komplexit\"at reeller Funktionen},
   school = {Fachbereich Mathematik und Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1988},
}

@inproceedings{Mue93,
   author = {M{\"u}ller, Norbert Th.},
   title = {Polynomial Time Computation of {T}aylor series},
   booktitle = {Proceedings of the 22th JAIIO - Panel'93, Part 2},
   year = {1993},
   pages = {259--281},
   note = {Buenos Aires, 1993},
}

@inproceedings{Mue95,
   author = {M{\"u}ller, Norbert Th.},
   title = {Constructive aspects of analytic functions},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {105--114},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@inproceedings{Mue96,
   author = {M{\"u}ller, Norbert Th.},
   title = {Towards a real {R}eal {RAM}: a prototype using {C$++$}},
   editor = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   publisher = {Universit\"at Trier},
   year = {1996},
   pages = {59--66},
   note = {Second CCA Workshop, Trier, August 22--23, 1996},
}

@inproceedings{Mue98,
   author = {M{\"u}ller, Norbert Th.},
   title = {Implementing limits in an interactive {RealRAM}},
   editor = {Chesneaux, J.-M. and J\'{e}z\'{e}quel, F. and Lamotte, J.-L. and Vignes, J.},
   booktitle = {Third Real Numbers and Computers Conference},
   publisher = {Universit\'{e} Pierre et Marie Curie, Paris},
   year = {1998},
   pages = {59--66},
   note = {Paris, France, April 27-29, 1998},
}

@article{Mue99,
   author = {M{\"u}ller, Norbert Th.},
   title = {Computability on random variables},
   journal = {Theoretical Computer Science},
   volume = {219},
   number = {1-2},
   year = {1999},
   pages = {287--299},
}

@article{Muk15,
   author = {Mukeru, Safari},
   title = {The descriptive complexity of stochastic integration},
   journal = {Journal of Complexity},
   volume = {31},
   number = {1},
   year = {2015},
   pages = {57--74},
   doi = {10.1016/j.jco.2014.07.004},
}

@article{MV21,
   author = {Marcone, Alberto and Valenti, Manlio},
   title = {The open and clopen {R}amsey theorems in the {W}eihrauch lattice},
   journal = {The Journal of Symbolic Logic},
   volume = {86},
   number = {1},
   year = {2021},
   pages = {316--351},
   doi = {10.1017/jsl.2021.10},
}

@article{MV22,
   author = {Marcone, Alberto and Valenti, Manlio},
   title = {Effective aspects of {H}ausdorff and {F}ourier dimension },
   journal = {Computability},
   volume = {11},
   number = {3-4},
   year = {2022},
   pages = {299--333},
   doi = {10.3233/COM-210372},
}

@article{MW19,
   author = {McKubre-Jordens, Maarten and Wilson, Phillip L.},
   title = {Infinity in Computable Probability},
   journal = {Journal of Applied Logics - {IfCoLog} Journal of Logics and their Applications},
   volume = {6},
   number = {7},
   year = {2019},
   pages = {1253--1261},
}

@article{MY04,
   author = {Miyamoto, Shoki and Yoshikawa, Atsushi},
   title = {Computable sequences in the {S}obolev spaces},
   journal = {Proc. Japan Acad. Ser. A},
   volume = {80},
   number = {3},
   year = {2004},
   pages = {15--17},
}

@article{Myc07,
   author = {Mycielski, Jan},
   title = {Pure mathematics and physical reality (continuity and computability)},
   journal = {Journal of Mathematical Sciences},
   volume = {146},
   number = {1},
   year = {2007},
   month = {Oct},
   pages = {5552--5563},
   doi = {10.1007/s10958-007-0368-y},
}

@article{Myh53,
   author = {Myhill, John},
   title = {Criteria of constructibility for real numbers},
   journal = {The Journal of Symbolic Logic},
   volume = {18},
   number = {1},
   year = {1953},
   pages = {7--10},
}

@article{Myh71,
   author = {Myhill, John},
   title = {A recursive function defined on a compact interval and having a continuous derivative that is not recursive},
   journal = {Michigan Math.\ J.},
   volume = {18},
   year = {1971},
   pages = {97--98},
}

@article{Myh72,
   author = {Myhill, John},
   title = {What is a real number?},
   journal = {The American Mathematical Monthly},
   volume = {79},
   year = {1972},
   pages = {748--754},
}

@article{Myh75,
   author = {John Myhill},
   title = {Constructive Set Theory},
   journal = {The Journal of Symbolic Logic},
   volume = {40},
   number = {3},
   year = {1975},
   pages = {347--382},
}

@article{Myk03,
   author = {Mycka, Jerzy},
   title = {$mu$--Recursion and infinite limits},
   journal = {Theoretical Computer Science},
   volume = {302},
   year = {2003},
   pages = {123--133},
}

@article{Myk03a,
   author = {Mycka, Jerzy},
   title = {Infinite limits and {R}-recursive functions},
   journal = {Acta Cybernetica},
   volume = {16},
   number = {1},
   year = {2003},
   pages = {83--91},
}

@article{Myk03b,
   author = {Mycka, Jerzy},
   title = {Two hierarchies of {$R$}--recursive functions},
   journal = {Annales UMCS Informatica Lublin-Polonia AI},
   volume = {1},
   year = {2003},
   pages = {49--59},
}

@article{Myk05,
   author = {Mycka, Jerzy},
   title = {Real recursive functions and {B}aire classes},
   journal = {Fundamenta Informaticae},
   volume = {65},
   number = {3},
   year = {2005},
   pages = {263--278},
}

@phdthesis{Myl06,
   author = {Mylatz, Uwe},
   title = {Vergleich unstetiger {F}unktionen: ``{P}rinciple of {O}mniscience'' und {V}ollst{\"a}ndigkeit in der {$C$}--Hierarchie},
   school = {Faculty for Mathematics and Computer Science, University Hagen},
   address = {Hagen, Germany},
   year = {2006},
   note = {{Ph.D.} thesis},
}

@inproceedings{Myr95,
   author = {Myrvold, Wayne C.},
   title = {Computability in Quantum Mechanics},
   editor = {DePauli-Schimanovich, Werner and K\"ohler, Eckehart and Stadler, Friedrich},
   booktitle = {The foundational debate},
   series = {Vienna Circle Institute Yearbook},
   volume = {3},
   publisher = {Kluwer},
   address = {Dordrecht},
   year = {1995},
   pages = {33--46},
   note = {Conference on the Foundational Debate: Constructivity and Complexity in Logic, Mathematics and Physics held at the University of Vienna, Vienna, September 1994},
}

@inproceedings{Myr97,
   author = {Myrvold, Wayne C.},
   title = {The decision problem for entanglement},
   editor = {Cohen, Robert S. and Horne, Michael and Stachel, John},
   booktitle = {Potentiality, Entanglement and Passion-at-a-Distance},
   series = {Boston Studies in the Philosophy of Science},
   volume = {194},
   publisher = {Kluwer},
   address = {Dordrecht},
   year = {1997},
   pages = {177--190},
   note = {Symposium on Foundations of Quantum Mechanics held at Boston University, Boston, MA, September 19, 1994},
}

@inproceedings{MYT08,
   author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
   title = {Integral of {F}ine Computable functions and {W}alsh {F}ourier series},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {279--293},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{MYT08a,
   author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
   title = {Effective {F}ine-convergence of {W}alsh-{F}ourier series},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {5},
   year = {2008},
   pages = {519--534},
}

@inproceedings{MYT08b,
   author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
   title = {Integral of Two-dimensional {F}ine-computable Functions},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {141--152},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{MYT09,
   author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
   title = {Fine-computable functions on the unit square and their integral},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1264--1279},
   doi = {http://dx.doi.org/10.3217/jucs-015-06-1264},
}

@inproceedings{MZ08,
   author = {M\"uller, Norbert Th. and Zhao, Xishun},
   title = {Jordan Areas and Grids},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {191--206},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{MZ08a,
   author = {Meer, Klaus and Ziegler, Martin},
   title = {An explicit solution of {P}ost's problem over the reals},
   journal = {Journal of Complexity},
   volume = {24},
   year = {2008},
   pages = {3--15},
   doi = {10.1016/j.jco.2006.09.004},
}

@article{MZ68,
   author = {Manukjan, S.N. and Zaslavski\u{i}, Igor D.},
   title = {Partitionings of the plane by constructive curves ({R}ussian)},
   journal = {Trudy Vy\v{c}isl. Centr. Akad. Nauk Armjan. SSR i Erevan. Gos. Univ.},
   volume = {5},
   year = {1968},
   pages = {26--138},
}

@inproceedings{Nak05,
   author = {Nakamura, Masahiro},
   title = {Ergodic theorems for algorithmically random sequences},
   editor = {Dinneen, Michael J. and Speidel, Ulrich and Taylor, Desmond P.},
   booktitle = {Proceedings of the {IEEE} {ITSOC} Information Theory Workshop 2005 on Coding and Complexity {ITW} 2005},
   year = {2005},
   pages = {147--150},
   doi = {10.1109/ITW.2005.1531876},
}

@inproceedings{Nan08,
   author = {Nandakumar, Satyadev},
   title = {Characterization of Constructive Dimension},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {323--337},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@inproceedings{Nan08a,
   author = {Nandakumar, Satyadev},
   title = {An effective ergodic theorem and some applications},
   booktitle = {{STOC}'08: Proceedings of the 40th Annual ACM Symposium on Theory of Computing},
   publisher = {ACM},
   address = {New York},
   year = {2008},
   pages = {39--44},
   doi = {10.1145/1374376.1374383},
}

@article{ND06,
   author = {N{\'e}meti, Istv{\'a}n and Gyula, D{\'a}vid},
   title = {Relativistic computers and the {T}uring barrier},
   journal = {Applied Mathematics and Computation},
   volume = {178},
   number = {1},
   year = {2006},
   pages = {118--142},
}

@inproceedings{Nem08,
   author = {Nemoto, Takako},
   title = {Weak weak {K}\"{o}nig's lemma in constructive reverse mathematics},
   booktitle = {Proceedings of the 10th Asian Logic Conference (ALC 10)},
   year = {2008},
   pages = {263---270},
   note = {{K}obe University in Kobe, Hyogo, Japan, September 1--6, 2008},
}

@article{Nem20,
   author = {Nemoto, Takako},
   title = {A constructive proof of the dense existence of nowhere-differentiable functions in {$C[0, 1]$}},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {315--326},
   doi = {10.3233/COM-190247},
}

@inproceedings{Ner57,
   author = {Nerode, Anil},
   title = {General topology and partial recursive functionals},
   booktitle = {Summaries of Talks at the {AMS} Summer Institute in Symbolic Logic},
   publisher = {Cornell University Mathematics Department},
   year = {1957},
}

@article{Neu15,
   author = {Neumann, Eike},
   title = {Computational Problems in Metric Fixed Point Theory and their {W}eihrauch Degrees},
   journal = {Logical Methods in Computer Science},
   volume = {11},
   year = {2015},
   pages = {4:20,44},
   doi = {10.2168/LMCS-11(4:20)2015},
}

@article{Neu21,
   author = {Neumann, Eike},
   title = {Decision problems for linear recurrences involving arbitrary real numbers},
   journal = {Logical Methods in Computer Science},
   volume = {17},
   number = {3},
   year = {2021},
   pages = {Paper No. 16, 26},
   doi = {10.46298/LMCS-17(3:16)2021},
}

@article{Neu22,
   author = {Neumann, Eike},
   title = {On the computability of the set of automorphisms of the unit square},
   journal = {Theoretical Computer Science},
   volume = {903},
   year = {2022},
   pages = {74--83},
   doi = {10.1016/j.tcs.2021.12.019},
}

@article{Neu22a,
   author = {Neumann, Eike},
   title = {Uniform Envelopes},
   journal = {Logical Methods in Computer Science},
   volume = {18},
   number = {3},
   year = {2022},
   month = Jul,
   pages = {8:1--8:34},
   doi = {10.46298/lmcs-18(3:8)2022},
}

@incollection{Neu22b,
   author = {Neumann, Eike},
   title = {On envelopes and backward approximations},
   booktitle = {Revolutions and revelations in computability},
   series = {Lecture Notes in Computer Science},
   volume = {13359},
   publisher = {Springer},
   address = {Cham},
   year = {2022},
   pages = {220--233},
   doi = {10.1007/978-3-031-08740-0\_19},
}

@incollection{Neu23,
   author = {Neumann, Eike},
   title = {On the complexity of robust eventual inequality testing for {C}-finite functions},
   booktitle = {Reachability problems},
   series = {Lecture Notes in Computer Science},
   volume = {14235},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {98--112},
   doi = {10.1007/978-3-031-45286-4\_8},
}

@article{NH02,
   author = {Nakata, Masahiro and Hayashi, Susumu},
   title = {A limiting first order realizability interpretation},
   journal = {Sci. Math. Jpn.},
   volume = {55},
   number = {3},
   year = {2002},
   pages = {567--580},
}

@article{NH85,
   author = {Nerode, Anil and Huang, Wen-Qi},
   title = {Application of pure recursion theory in recursive analysis},
   journal = {Acta Mathematica Sinica},
   volume = {28},
   year = {1985},
   pages = {625--636},
   note = {(in Chinese)},
}

@inproceedings{Nie14,
   author = {Nies, Andr{\'e}},
   title = {Differentiability of polynomial time computable functions},
   editor = {Ernst W. Mayr and Natacha Portier},
   booktitle = {31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {25},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2014},
   pages = {602--613},
}

@incollection{Nie17,
   author = {Nies, Andr{\'e}},
   title = {Lowness, Randomness, and Computable Analysis},
   editor = {Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov, Bakhadyr and Melnikov, Alexander and Rosamond, Frances},
   booktitle = {Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday},
   series = {Lecture Notes in Computer Science},
   volume = {10010},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {738--754},
   doi = {10.1007/978-3-319-50062-1_42},
}

@phdthesis{Niq04,
   author = {Niqui, Milad},
   title = {Formalizing Exact Arithmetic -- Representations, Algorithms and Proofs},
   school = {Institute for Programming Research and Algorithmics, University of Nijmegen},
   address = {Nijmegen},
   year = {2004},
}

@inproceedings{Niq05,
   author = {Niqui, Milad},
   title = {Formalising Exact Arithmetic in Type Theory},
   editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {368--377},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@inproceedings{Niq06,
   author = {Niqui, Milad},
   title = {Coinductive field of exact real numbers and general corecursion},
   booktitle = {Proceedings of the {E}ighth {W}orkshop on {C}oalgebraic {M}ethods in {C}omputer {S}cience ({CMCS} 2006)},
   series = {Electron. Notes Theor. Comput. Sci.},
   volume = {164},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2006},
   pages = {121--139 (electronic)},
}

@article{Niq07,
   author = {Niqui, Milad},
   title = {Exact arithmetic on the {S}tern-{B}rocot tree},
   journal = {Journal of Discrete Algorithms},
   volume = {5},
   number = {2},
   year = {2007},
   pages = {356--379},
   doi = {10.1016/j.jda.2005.03.007},
}

@article{Niq07a,
   author = {Niqui, Milad},
   title = {Productivity of {E}dalat-{P}otts Exact Arithmetic in Constructive Type Theory},
   journal = {Theory of Computing Systems},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {127--154},
}

@article{NKS04,
   author = {Nedialkov, Nedialko S. and Kreinovich, Vladik and Starks, Scott A.},
   title = {Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why, What Next?},
   journal = {Numerical Algorithms},
   volume = {37},
   year = {2004},
   pages = {325--336},
}

@proceedings{NKW99,
   title = {Computability and Complexity in Analysis},
   editor = {Nerode, Anil and Ko, Ker-I and Weihrauch, Klaus},
   volume = {219},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {1999},
   note = {Special issue of Theoretical Computer Science},
}

@phdthesis{Nob18,
   author = {Nobrega, Hugo},
   title = {Games for functions - {B}aire classes, {W}eihrauch degrees, Transfinite Computations, and Ranks},
   school = {Institute for Logic, Language and Computation, Universiteit van Amsterdam},
   year = {2018},
}

@article{Nog66,
   author = {Nogina, Elena Ju.},
   title = {Effectively topological spaces},
   journal = {Dokl. Akad. Nauk SSSR},
   volume = {169},
   year = {1966},
   pages = {28--31},
}

@article{Nog69,
   author = {Nogina, Elena Ju.},
   title = {Correlations between certain classes of effectively topological spaces},
   journal = {Mat. Zametki},
   volume = {5},
   year = {1969},
   pages = {483--495},
}

@article{Nog78,
   author = {Nogina, Elena Ju.},
   title = {Enumerable topological spaces ({R}ussian)},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {24},
   number = {2},
   year = {1978},
   pages = {141--176},
}

@incollection{Nog81,
   author = {Nogina, Elena Ju.},
   title = {The relation between separability and traceability of sets ({R}ussian)},
   booktitle = {Mathematical logic and mathematical linguistics},
   publisher = {Kalinin. Gos. Univ.},
   address = {Klinin},
   year = {1981},
   pages = {135--144},
}

@article{Nor02,
   author = {Normann, Dag},
   title = {Exact real number computations relative to hereditarily total functionals},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {437--453},
}

@article{Nor04,
   author = {Normann, Dag},
   title = {Hierarchies of total functionals over the reals},
   journal = {Theoretical Computer Science},
   volume = {316},
   year = {2004},
   pages = {137--151},
}

@article{Nor11,
   author = {Normann, Dag},
   title = {{B}anach Spaces as Data Types},
   journal = {Logical Methods in Computer Science},
   volume = {7},
   year = {2011},
   pages = {2:11, 20},
   doi = {10.2168/LMCS-7(2:11)2011},
}

@inproceedings{Nor18,
   author = {Normann, Dag},
   title = {Functionals of Type 3 as Realisers of Classical Theorems in Analysis},
   editor = {Manea, Florin and Miller, Russell G. and Nowotka, Dirk},
   booktitle = {Sailing Routes in the World of Computation},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {318--327},
   doi = {10.1007/978-3-319-94418-0_32},
}

@article{Nor21,
   author = {Normann, Dag},
   title = {Measure-theoretic uniformity and the {S}uslin functional},
   journal = {Computability},
   volume = {10},
   number = {2},
   year = {2021},
   pages = {91--105},
   doi = {10.3233/COM-190248},
}

@inproceedings{NP17,
   author = {Nobrega, Hugo and Pauly, Arno},
   title = {Game Characterizations and Lower Cones in the {W}eihrauch Degrees},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {327--337},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_31},
}

@article{NP18,
   author = {Eike Neumann and Arno Pauly},
   title = {A topological view on algebraic computation models},
   journal = {Journal of Complexity},
   volume = {44},
   number = {Supplement C},
   year = {2018},
   pages = {1--22},
   doi = {10.1016/j.jco.2017.08.003},
}

@article{NP19,
   author = {Nobrega, Hugo and Pauly, Arno},
   title = {Game characterizations and lower cones in the {W}eihrauch degrees},
   journal = {Logical Methods in Computer Science},
   volume = {15},
   number = {3},
   year = {2019},
   pages = {Paper No. 11, 29},
   doi = {10.23638/LMCS-15(3:11)2019},
}

@article{NPS18,
   author = {Neumann, Eike and Pape, Martin and Streicher, Thomas},
   title = {Computability in Basic Quantum Mechanics},
   journal = {Logical Methods in Computer Science},
   volume = {14},
   number = {2},
   year = {2018},
   month = Jun,
   doi = {10.23638/LMCS-14(2:14)2018},
}

@inproceedings{NS15,
   author = {Nies, Andr{\'e} and Solecki, Slawomir},
   title = {Local Compactness for Computable Polish Metric Spaces is $\Pi_1^1$--complete},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {286--290},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_29},
}

@article{NS19,
   author = {Normann, Dag and Sanders, Sam},
   title = {Computability theory, nonstandard analysis, and their connections},
   journal = {The Journal of Symbolic Logic},
   volume = {84},
   number = {4},
   year = {2019},
   pages = {1422--1465},
   doi = {10.1017/jsl.2019.69},
}

@article{NS19a,
   author = {Normann, Dag and Sanders, Sam},
   title = {The strength of compactness in Computability Theory and Nonstandard Analysis},
   journal = {Annals of Pure and Applied Logic},
   volume = {170},
   number = {11},
   year = {2019},
   pages = {102710},
   doi = {10.1016/j.apal.2019.05.007},
}

@article{NS20,
   author = {Neumann, Eike and Steinberg, Florian},
   title = {Parametrised second-order complexity theory with applications to the study of interval computation},
   journal = {Theoretical Computer Science},
   volume = {806},
   year = {2020},
   pages = {281--304},
   doi = {10.1016/j.tcs.2019.05.009},
}

@article{NS20a,
   author = {Normann, Dag and Sanders, Sam},
   title = {Pincherle's theorem in reverse mathematics and computability theory},
   journal = {Annals of Pure and Applied Logic},
   volume = {171},
   number = {5},
   year = {2020},
   pages = {102788},
   doi = {10.1016/j.apal.2020.102788},
}

@inproceedings{NS20b,
   author = {Nies, Andr{\'e} and Stephan, Frank},
   title = {Randomness and Initial Segment Complexity for Probability Measures},
   editor = {Paul, Christophe and Bl{\"a}ser, Markus},
   booktitle = {37th International Symposium on Theoretical Aspects of Computer Science ({STACS} 2020)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {154},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2020},
   pages = {55:1--55:14},
   doi = {10.4230/LIPIcs.STACS.2020.55},
}

@inproceedings{NSW06,
   author = {Ng, Keng Meng and Stephan, Frank and Wu, Guohua},
   title = {Degrees of Weakly Computable Reals},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {413--422},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@article{NTY21,
   author = {Nies, Andr{\'e} and Triplett, Marcus A. and Yokoyama, Keita},
   title = {The reverse mathematics of theorems of {J}ordan and {L}ebesgue},
   journal = {The Journal of Symbolic Logic},
   volume = {86},
   number = {4},
   year = {2021},
   pages = {1657--1675},
   doi = {10.1017/jsl.2021.16},
}

@article{NTY21a,
   author = {Ng, Keng Meng and Tavana, Nazanin R. and Yang, Yue},
   title = {A recursion theoretic foundation of computation over real numbers},
   journal = {Journal of Logic and Computation},
   volume = {31},
   number = {7},
   year = {2021},
   pages = {1660--1689},
   doi = {10.1093/logcom/exab042},
}

@article{Nub72,
   author = {Nuber, J.A.},
   title = {A constructive ergodic theorem},
   journal = {Transactions of the American Mathematical Society},
   volume = {164},
   year = {1972},
   pages = {115--137},
}

@article{Nub76,
   author = {Nuber, J.A.},
   title = {Erratum to: ``{A} constructive ergodic theorem''},
   journal = {Transactions of the American Mathematical Society},
   volume = {216},
   year = {1976},
   pages = {393},
}

@inproceedings{NV20,
   author = {Nandakumar, Satyadev and Vishnoi, Prateek},
   title = {Randomness and Effective Dimension of Continued Fractions},
   editor = {Esparza, Javier and Kr{\'a}l', Daniel},
   booktitle = {45th International Symposium on Mathematical Foundations of Computer Science ({MFCS} 2020)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {170},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl, Germany},
   year = {2020},
   pages = {73:1--73:13},
   doi = {10.4230/LIPIcs.MFCS.2020.73},
}

@article{Oco07,
   author = {O'Connor, Russel},
   title = {A monadic, functional implementation of real numbers},
   journal = {Mathematical Structures in Computer Science},
   volume = {17},
   year = {2007},
   pages = {129--159},
}

@article{OK03,
   author = {Ord, Toby and Kieu, Tien D.},
   title = {On the existence of a new family of {D}iophantine equations for {$\Omega$}},
   journal = {Fundamenta Informaticae},
   volume = {56},
   number = {3},
   year = {2003},
   pages = {273--284},
}

@incollection{OK07,
   author = {Ord, Toby and Kieu, Tien D.},
   title = {{$\Omega$} in number theory},
   editor = {Calude, Cristian S.},
   booktitle = {Randomness and Complexity},
   publisher = {World Scientific},
   address = {Hackensack, NJ},
   year = {2007},
   pages = {161--173},
   note = {{F}rom {L}eibniz to {C}haitin, {O}n the occasion of {G}regory {J}. {C}haitin's 60th birthday},
   doi = {10.1142/9789812770837_0010},
}

@article{Oli02,
   author = {Oliva, Paulo},
   title = {On the Computational Complexity of Best $L_1$-approximation},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {66--77},
}

@phdthesis{Oli03,
   author = {Oliva, Paulo},
   title = {Proof Mining in Subsystems of Analysis},
   school = {Department of Computer Science, University of Aarhus, Denmark},
   address = {Aarhus},
   year = {2003},
}

@article{OP15,
   author = {Oliva, Paulo and Powell, Thomas},
   title = {A constructive interpretation of {R}amsey's theorem via the product of selection functions},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1755--1778},
   doi = {10.1017/S0960129513000340},
}

@article{Ord06,
   author = {Ord, Toby},
   title = {The many forms of hypercomputation},
   journal = {Applied Mathematics and Computation},
   volume = {178},
   number = {1},
   year = {2006},
   pages = {143--153},
   doi = {10.1016/j.amc.2005.09.076},
}

@article{Ore63,
   author = {Orevkov, Vladimir P.},
   title = {A constructive mapping of the square onto itself displacing every constructive point ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {152},
   year = {1963},
   pages = {55--58},
   note = {translated in: Soviet Math. - Dokl., 4 (1963) 1253--1256},
}

@article{Ore63a,
   author = {Orevkov, Vladimir P.},
   title = {Constructive mappings of polyhedra ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {152},
   year = {1963},
   pages = {278--281},
}

@article{Ore64,
   author = {Orevkov, Vladimir P.},
   title = {Certain questions of the theory of polynomials with constructive real coefficients ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   volume = {72},
   year = {1964},
   pages = {462--487},
}

@article{Ore64a,
   author = {Orevkov, Vladimir P.},
   title = {On constructive mappings of a circle into itself ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   volume = {72},
   year = {1964},
   pages = {437--461},
}

@article{Ore67,
   author = {Orevkov, Vladimir P.},
   title = {Certain types of continuity of constructive operators ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   volume = {93},
   year = {1967},
   pages = {164--186},
}

@article{Ore67a,
   author = {Orevkov, Vladimir P.},
   title = {Constructive mappings of finite polyhedra ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   volume = {93},
   year = {1967},
   pages = {142--163},
}

@article{Ore69,
   author = {Orevkov, Vladimir P.},
   title = {Certain properties of homeomorphisms of constructive metric spaces ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
   volume = {16},
   year = {1969},
   pages = {157--164},
}

@article{Ore71,
   author = {Orevkov, Vladimir P.},
   title = {The continuity of constructive functionals ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
   volume = {20},
   year = {1971},
   pages = {160--169,287},
}

@article{Ore73,
   author = {Orevkov, Vladimir P.},
   title = {The complexity of the expansion of algebraic irrationalities in continued fractions ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   volume = {129},
   year = {1973},
   pages = {24--29,267},
}

@article{Ore74,
   author = {Orevkov, Vladimir P.},
   title = {A new proof of the uniqueness theorem for constructive differentiable functions of a complex variable ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
   volume = {40},
   year = {1974},
   pages = {119--126,159},
}

@article{OS10,
   author = {O'Connor, Russell and Spitters, Bas},
   title = {A computer-verified monadic functional implementation of the integral},
   journal = {Theoret. Comput. Sci.},
   volume = {411},
   number = {37},
   year = {2010},
   pages = {3386--3402},
   doi = {10.1016/j.tcs.2010.05.031},
}

@book{OS75,
   title = {Problems in the constructive trend in mathematics {VI}},
   editor = {Orevkov, V.P. and \v{{S}}anin, N.A.},
   publisher = {American Mathematical Society},
   address = {Providence, R.I.},
   year = {1975},
   note = {Proc. Steklov Inst. Math., 129 (1973)},
}

@inproceedings{OS94,
   author = {Oliveira, W.R. de and Smyth, M.B.},
   title = {Quasimetric {$\Sigma$}-algebras},
   booktitle = {SEMISH'94},
   publisher = {Sociedade Brasileira de Computa\c{c}\~{a}o},
   year = {1994},
   pages = {547--561},
   note = {XXI Seminario Integrado de Software e Hardware, Minas Gerais, Brazil},
}

@book{Ous66,
   author = {Ouspensky, V.A.},
   title = {Le{\c{c}}ons sur les fonctions calculables},
   series = {Mathematical Logic and the Foundations of Mathematics},
   publisher = {Hermann},
   address = {Paris},
   year = {1966},
   note = {(a translation of \cite{Usp60a})},
}

@article{Par03,
   author = {Parker, Matthew W.},
   title = {Undecidability in {$R^n$}: Riddled Basins, the {KAM} Tori, and the Stability of the Solar System},
   journal = {Philosophy of Science},
   volume = {70},
   year = {2003},
   pages = {359--382},
}

@article{Par06,
   author = {Parker, Matthew W.},
   title = {Three concepts of decidability for general subsets of uncountable spaces},
   journal = {Theoretical Computer Science},
   volume = {351},
   number = {1},
   year = {2006},
   pages = {2--13},
}

@incollection{Par23,
   author = {Park, Sewon},
   title = {Verified exact real computation with nondeterministic functions and limits},
   booktitle = {Fundamentals of computation theory},
   series = {Lecture Notes in Computer Science},
   volume = {14292},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {363--377},
   doi = {10.1007/978-3-031-43587-4\_26},
}

@inproceedings{Pat05,
   author = {Pattinson, Dirk},
   title = {Domain-Theoretic Formulation of Linear Boundary Value Problems},
   editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {385--395},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@article{Pat09,
   author = {Pathak, Noopur},
   title = {A computational aspect of the {L}ebesgue differentiation theorem},
   journal = {Journal of Logic and Analysis},
   volume = {1},
   year = {2009},
   pages = {Paper 9, 15},
   doi = {10.4115/jla.2009.1.9},
}

@phdthesis{Pat16,
   author = {Patey, Ludovic},
   title = {The reverse mathematics of {R}amsey-type theorems},
   school = {Universit{\'e} Paris Diderot},
   address = {Paris, France},
   year = {2016},
}

@article{Pat16a,
   author = {Patey, Ludovic},
   title = {The weakness of being cohesive, thin or free in reverse mathematics},
   journal = {Israel Journal of Mathematics},
   volume = {216},
   year = {2016},
   pages = {905--955},
   doi = {10.1007/s11856-016-1433-3},
}

@inproceedings{Pau09,
   author = {Pauly, Arno},
   title = {How Discontinuous is Computing {N}ash Equilibria? ({E}xtended Abstract)},
   editor = {Bauer, Andrej and Hertling, Peter and Ko, Ker-I},
   booktitle = {6th International Conference on Computability and Complexity in Analysis (CCA'09)},
   series = {OpenAccess Series in Informatics (OASIcs)},
   volume = {11},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2009},
   doi = {10.4230/OASIcs.CCA.2009.2271},
}

@article{Pau09b,
   author = {Pauly, Arno},
   title = {Representing measurement results},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1280--1300},
   doi = {10.3217/jucs-015-06-1280},
}

@article{Pau10,
   author = {Pauly, Arno},
   title = {How Incomputable is Finding {N}ash Equilibria?},
   journal = {Journal of Universal Computer Science},
   volume = {16},
   number = {18},
   year = {2010},
   pages = {2686--2710},
   doi = {10.3217/jucs-016-18-2686},
}

@article{Pau10a,
   author = {Pauly, Arno},
   title = {On the (semi)lattices induced by continuous reducibilities},
   journal = {Mathematical Logic Quarterly},
   volume = {56},
   number = {5},
   year = {2010},
   pages = {488--502},
   doi = {10.1002/malq.200910104},
}

@phdthesis{Pau11,
   author = {Pauly, Arno},
   title = {Computable Metamathematics and its Application to Game Theory},
   school = {University of Cambridge, Computer Laboratory, Clare College},
   address = {Cambridge},
   year = {2011},
   note = {{Ph.D.} thesis},
}

@inproceedings{Pau12,
   author = {Pauly, Arno},
   title = {Multi-valued functions in computability theory},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {571--580},
}

@article{Pau16,
   author = {Pauly, Arno},
   title = {On the topological aspects of the theory of represented spaces},
   journal = {Computability},
   volume = {5},
   number = {2},
   year = {2016},
   pages = {159--180},
   doi = {10.3233/COM-150049},
}

@article{Pau17,
   author = {Pauly, Arno},
   title = {Many-one reductions and the category of multivalued functions},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {3},
   year = {2017},
   pages = {376--404},
   doi = {10.1017/S0960129515000262},
}

@inproceedings{Pau18,
   author = {Pauly, Arno},
   title = {Enumeration Degrees and Topology},
   editor = {Manea, Florin and Miller, Russell G. and Nowotka, Dirk},
   booktitle = {Sailing Routes in the World of Computation},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {328--337},
   doi = {10.1007/978-3-319-94418-0_33},
}

@article{PC75,
   author = {Pour-El, Marian B. and Caldwell, J.},
   title = {On a simple definition of computable functions of a real variable - with applications to functions of a complex variable},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {21},
   year = {1975},
   pages = {1--19},
}

@inproceedings{PdB14,
   author = {Pauly, Arno and de Brecht, Matthew},
   title = {Non-deterministic computation and the {J}ayne-{R}ogers Theorem},
   editor = {L{\"{o}}we, Benedikt and Winskel, Glynn},
   booktitle = {Proceedings 8th International Workshop on Developments in Computational Models, {DCM} 2012, Cambridge, United Kingdom, 17 June 2012.},
   series = {Electronic Proceedings in Theoretical Computer Science},
   volume = {143},
   year = {2014},
   pages = {87--96},
   doi = {10.4204/EPTCS.143.8},
}

@inproceedings{PdB15,
   author = {Pauly, Arno and de Brecht, Matthew},
   title = {Descriptive Set Theory in the Category of Represented Spaces},
   booktitle = {30th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)},
   year = {2015},
   pages = {438-449},
   doi = {10.1109/LICS.2015.48},
}

@article{PDD17,
   author = {Porter, Michelle and Day, Adam and Downey, Rodney},
   title = {Notes on computable analysis},
   journal = {Theory of Computing Systems},
   volume = {60},
   number = {1},
   year = {2017},
   pages = {53--111},
   doi = {10.1007/s00224-016-9732-y},
}

@phdthesis{Peg13,
   author = {P{\'e}gny, Ma{\"e}l},
   title = {Sur les limites empiriques du calcul -- Calculabilit{\'e}, complexit{\'e} et physique},
   school = {Universit{\'e} Paris 1 Panth{\'e}on-Sorbonne},
   address = {Paris, France},
   year = {2013},
}

@article{Peg16,
   author = {P{\'e}gny, Ma{\"e}l},
   title = {How to Make a Meaningful Comparison of Models: The {C}hurch--{T}uring Thesis Over the Reals},
   journal = {Minds and Machines},
   volume = {26},
   number = {4},
   year = {2016},
   pages = {359--388},
   doi = {10.1007/s11023-016-9407-0},
}

@article{Peq15,
   author = {Pequignot, Yann},
   title = {A {W}adge hierarchy for second countable spaces},
   journal = {Archive for Mathematical Logic},
   volume = {54},
   year = {2015},
   pages = {659--683},
   doi = {10.1007/s00153-015-0434-y},
}

@phdthesis{Peq15a,
   author = {Pequignot, Yann},
   title = {Better-quasi-order: ideals and spaces},
   school = {University of Lausanne and University Paris 7},
   year = {2015},
}

@inproceedings{Pet15,
   author = {Petrakis, Iosif},
   title = {Completely Regular {B}ishop Spaces},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {302--312},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_31},
}

@inproceedings{Pet16,
   author = {Petrakis, Iosif},
   title = {A Direct Constructive Proof of a {S}tone-{W}eierstrass Theorem for Metric Spaces},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {364--374},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_37},
}

@inproceedings{Pet16a,
   author = {Petrakis, Iosif},
   title = {A constructive function-theoretic approach to topological compactness},
   booktitle = {Proceedings of the 31st {A}nnual {ACM}-{IEEE} {S}ymposium on {L}ogic in {C}omputer {S}cience ({LICS} 2016)},
   publisher = {ACM},
   address = {New York},
   year = {2016},
   pages = {10},
}

@incollection{Pet16b,
   author = {Petrakis, Iosif},
   title = {The {U}rysohn extension theorem for {B}ishop spaces},
   booktitle = {Logical foundations of computer science},
   series = {Lecture Notes in Comput. Sci.},
   volume = {9537},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {299--316},
   doi = {10.1007/978-3-319-27683-0_21},
}

@article{Pet16c,
   author = {Petrakis, Iosif},
   title = {Limit spaces with approximations},
   journal = {Annals of Pure and Applied Logic},
   volume = {167},
   number = {9},
   year = {2016},
   pages = {737--752},
   doi = {10.1016/j.apal.2016.04.013},
}

@inproceedings{Pet17,
   author = {Petrakis, Iosif},
   title = {{McShane}-{W}hitney Pairs},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {351--363},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_33},
}

@incollection{Pet17a,
   author = {Petrakis, Iosif},
   title = {A density theorem for hierarchies of limit spaces over separable metric spaces},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {10185},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {484--498},
}

@inproceedings{Pet19,
   author = {Petrakis, Iosif},
   title = {Borel and {B}aire Sets in {B}ishop Spaces},
   editor = {Manea, Florin and Martin, Barnaby and Paulusma, Dani{\"e}l and Primiero, Giuseppe},
   booktitle = {Computing with Foresight and Industry},
   series = {Lecture Notes in Computer Science},
   volume = {11558},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {240--252},
   note = {15th Conference on Computability in Europe, CiE 2019, Durham, UK, July 15-19, 2019},
   doi = {10.1007/978-3-030-22996-2_21},
}

@article{Pet19a,
   author = {Petrakis, Iosif},
   title = {Constructive uniformities of pseudometrics and {B}ishop topologies},
   journal = {Journal of Logic and Analysis},
   volume = {11},
   year = {2019},
   pages = {Paper No. FT2, 44},
}

@inproceedings{Pet20,
   author = {Petrakis, Iosif},
   title = {Functions of {B}aire Class One over a {B}ishop Topology},
   editor = {Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and Pauly, Arno},
   booktitle = {Beyond the Horizon of Computability},
   publisher = {Springer International Publishing},
   address = {Cham},
   year = {2020},
   pages = {215--227},
   doi = {10.1007/978-3-030-51466-2_19},
}

@book{Pet67,
   author = {P{\'{e}}ter, R\'{o}zsa},
   title = {Recursive Functions},
   edition = {3rd},
   publisher = {Academic Press},
   address = {New York},
   year = {1967},
}

@article{PF17,
   author = {Pauly, Arno and Fouch{\'e}, Willem L.},
   title = {How constructive is constructing measures?},
   journal = {Journal of Logic \& Analysis},
   volume = {9},
   number = {c3},
   year = {2017},
   pages = {1--44},
   doi = {10.4115/jla.2017.9.c3},
}

@article{PFD18,
   author = {Pauly, Arno and Fouch{\'{e}}, Willem and Davie, George},
   title = {{W}eihrauch-completeness for layerwise computability},
   journal = {Logical Methods in Computer Science},
   volume = {14},
   number = {2},
   year = {2018},
   month = May,
   doi = {10.23638/LMCS-14(2:11)2018},
}

@article{PG16,
   author = {Pouly, Amaury and Gra\c{c}a, Daniel S.},
   title = {Computational complexity of solving polynomial differential equations over unbounded domains},
   journal = {Theoretical Computer Science},
   volume = {626},
   year = {2016},
   pages = {67--82},
   doi = {10.1016/j.tcs.2016.02.002},
}

@inproceedings{PHYT12,
   author = {Peng, NingNing and Higuchi, Kojiro and Yamazaki, Takeshi and Tanaka, Kazuyuki},
   title = {Relative randomness for {M}artin-{L}\"of random sets},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {581--588},
}

@article{Pla99,
   author = {Plato, Jan von},
   title = {Order in open intervals of computable reals},
   journal = {Mathematical Structures in Computer Science},
   volume = {9},
   year = {1999},
   pages = {103--108},
}

@phdthesis{Pop03,
   author = {Popa, Gabriela},
   title = {A theoretical constructivisation of mathematical economics},
   school = {Department of Mathematics \& Statistics, University of Canterbury},
   address = {Christchurch},
   year = {2003},
}

@article{Por16a,
   author = {Porter, Christopher P.},
   title = {On analogues of the {C}hurch-{T}uring thesis in algorithmic randomness},
   journal = {The Review of Symbolic Logic},
   volume = {9},
   number = {3},
   year = {2016},
   pages = {456--479},
   doi = {10.1017/S1755020316000113},
}

@incollection{Por20,
   author = {Porter, Christopher P.},
   title = {Biased algorithmic randomness},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {206--231},
   doi = {10.1017/9781108781718.008},
}

@article{Pot06,
   author = {Potgieter, Petrus H.},
   title = {Zeno machines and hypercomputation},
   journal = {Theoretical Computer Science},
   volume = {358},
   number = {1},
   year = {2006},
   pages = {23--33},
}

@article{Pot12,
   author = {Potgieter, Paul},
   title = {The rapid points of a complex oscillation},
   journal = {Logical Methods in Computer Science},
   volume = {8},
   year = {2012},
   pages = {1:23, 11},
   doi = {10.2168/LMCS-8(1:23)2012},
}

@article{Pot18,
   author = {Paul Potgieter},
   title = {Algorithmically random series and {B}rownian motion},
   journal = {Annals of Pure and Applied Logic},
   volume = {169},
   number = {11},
   year = {2018},
   pages = {1210--1226},
   doi = {https://doi.org/10.1016/j.apal.2018.07.001},
}

@article{Pot22,
   author = {Potgieter, Petrus H.},
   title = {Computability of sets in {E}uclidean space},
   journal = {Pure Mathematics and Applications},
   volume = {30},
   number = {3},
   year = {2022},
   pages = {65--77},
   doi = {10.2478/puma-2022-0025},
}

@article{Pou74,
   author = {Pour-El, Marian B.},
   title = {Abstract computability and its relation to the general purpose analog computer (some connections between logic, differential equations and analog computers)},
   journal = {Trans.\ Amer.\ Math.\ Soc.},
   volume = {199},
   year = {1974},
   pages = {1--28},
}

@inproceedings{Pou95,
   author = {Pour-El, Marian B.},
   title = {Church's thesis and recursive analysis},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {115--118},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@inproceedings{Pou98,
   author = {Pour-El, Marian B.},
   title = {Some Open Problems in Computable Analysis},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {61},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{Pou99,
   author = {Pour-El, Marian B.},
   title = {From axiomatics to intrinsic characterization: some open problems in computable analysis},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {319--329},
}

@inproceedings{Pou99a,
   author = {Pour-El, Marian B.},
   title = {The structure of computability in analysis and physical theory: An extension of {C}hurch's thesis},
   editor = {Griffor, Edward R.},
   booktitle = {Handbook of Computability Theory},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {140},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {1999},
   pages = {449--471},
}

@article{PR78,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {Differentiability properties of computable functions - a summary},
   journal = {Acta Cybernetica},
   volume = {4},
   year = {1978},
   pages = {123--125},
}

@article{PR79,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {A computable ordinary differential equation which possesses no computable solution},
   journal = {Annals Math.\ Logic},
   volume = {17},
   year = {1979},
   pages = {61--90},
}

@article{PR81,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {The wave equation with computable initial data such that its unique solution is not computable},
   journal = {Advances in Math.},
   volume = {39},
   year = {1981},
   pages = {215--239},
}

@article{PR83,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {Computability and noncomputability in classical analysis},
   journal = {Trans.\ Amer.\ Math.\ Soc.},
   volume = {275},
   year = {1983},
   pages = {539--560},
}

@article{PR83a,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {Noncomputability in analysis and physics: a complete determination of the class of noncomputable linear operators},
   journal = {Advances in Math.},
   volume = {48},
   year = {1983},
   pages = {44--74},
}

@article{PR84,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {{$L^p$}-computability in recursive analysis},
   journal = {Proceedings of the American Mathematical Society},
   volume = {92},
   year = {1984},
   pages = {93--97},
}

@article{PR86,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {Three theorems on the computability of linear operators, their eigenvalues and eigenvectors},
   journal = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
   volume = {588},
   year = {1986},
   pages = {149--161},
}

@article{PR87,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {The eigenvalues of an effectively determined self-adjoint operator are computable, but the sequence of eigenvalues is not},
   journal = {Advances in Math.},
   volume = {63},
   year = {1987},
   pages = {1--41},
}

@book{PR89,
   author = {Pour-El, Marian B. and Richards, J. Ian},
   title = {Computability in Analysis and Physics},
   series = {Perspectives in Mathematical Logic},
   publisher = {Springer},
   address = {Berlin},
   year = {1989},
}

@article{PRS14,
   author = {Pathak, Noopur and Rojas, Crist{\'o}bal and Simpson, Stephen G.},
   title = {Schnorr randomness and the {L}ebesgue differentiation theorem},
   journal = {Proceedings of the American Mathematical Society},
   volume = {142},
   number = {1},
   year = {2014},
   pages = {335--349},
   doi = {10.1090/S0002-9939-2013-11710-7},
}

@inproceedings{PS06,
   author = {Peshev, Peter and Skordev, Dimiter},
   title = {A Subrecursive Refinement of the Fundamental Theorem of Algebra},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {435--444},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@inproceedings{PS16,
   author = {Pauly, Arno and Steinberg, Florian},
   title = {Representations of analytic functions and {W}eihrauch degrees},
   booktitle = {Computer science---theory and applications},
   series = {Lecture Notes in Computer Science},
   volume = {9691},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {367--381},
   doi = {10.1007/978-3-319-34171-2_26},
}

@article{PS18,
   author = {Pauly, Arno and Steinberg, Florian},
   title = {Comparing Representations for Function Spaces in Computable Analysis},
   journal = {Theory of Computing Systems},
   volume = {62},
   year = {2018},
   pages = {557--582},
   doi = {10.1007/s00224-016-9745-6},
}

@incollection{PS22,
   author = {Pradic, Pierre and Sold\`a, Giovanni},
   title = {On the {W}eihrauch degree of the additive {R}amsey theorem over the rationals},
   booktitle = {Revolutions and revelations in computability},
   series = {Lecture Notes in Computer Science},
   volume = {13359},
   publisher = {Springer},
   address = {Cham},
   year = {2022},
   pages = {259--271},
   doi = {10.1007/978-3-031-08740-0\_22},
}

@incollection{PSZ20,
   author = {Pauly, Arno and Seon, Dongseong and Ziegler, Martin},
   title = {Computing {H}aar measures},
   editor = {Fern{\'a}ndez, Maribel and Muscholl, Anca},
   booktitle = {28th {EACSL} {A}nnual {C}onference on {C}omputer {S}cience {L}ogic},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {152},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
   address = {Dagstuhl},
   year = {2020},
   pages = {34:1--34:17},
   doi = {10.4230/LIPIcs.CSL.2020.34},
}

@article{PTD15,
   author = {Pourmahdian, Masoud and Tavana, Nazanin R. and Didehvar, Farzad},
   title = {Effective metric model theory},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1779--1798},
   doi = {10.1017/S0960129513000352},
}

@article{Put65,
   author = {Putnam, Hilary},
   title = {Trial and error predicates and the solution to a problem of {M}ostowski},
   journal = {The Journal of Symbolic Logic},
   volume = {30},
   year = {1965},
   pages = {49--57},
}

@article{PWY20,
   author = {Pauly, Arno and Westrick, Linda and Yu, Liang},
   title = {Lusin's {(N)} and randomness reflection},
   journal = {The Journal of Symbolic Logic},
   number = {to appear},
   year = {2020},
   doi = {10.1017/jsl.2020.73},
}

@inproceedings{PZ03,
   author = {Pour-El, Marian B. and Zhong, Ning},
   title = {Boundary regularity and computability},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {325--343},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{PZ13,
   author = {Pauly, Arno and Ziegler, Martin},
   title = {Relative computability and uniform continuity of relations},
   journal = {Journal of Logic and Analysis},
   volume = {5},
   number = {7},
   year = {2013},
   pages = {1--39},
}

@article{PZ15,
   author = {Pour-El, I. and Zhong, Ning},
   title = {A {T}ribute to {M}arian {B}oykan {P}our-{E}l (1928--2009)},
   journal = {Journal of Logic and Computation},
   volume = {25},
   number = {4},
   year = {2015},
   pages = {1133--1140},
   doi = {10.1093/logcom/exs073},
}

@incollection{PZ16,
   author = {Po\c{c}as, Diogo and Zucker, Jeffery},
   title = {Fixed point techniques in analog systems},
   editor = {B\'{e}lair, Jacques and Frigaard, Ian A. and Kunze, Herb and Makarov, Roman and Melnik, Roderick and Spiteri, Raymond J.},
   booktitle = {Mathematical and Computational Approaches in Advancing Modern Science and Engineering},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {701--711},
}

@article{PZ18,
   author = {Po\c{c}as, Diogo and Zucker, Jeffery},
   title = {Analog networks on function data streams},
   journal = {Computability},
   volume = {7},
   number = {4},
   year = {2018},
   pages = {301--322},
   doi = {10.3233/com-170077},
}

@article{PZ19,
   author = {Po\c{c}as, Diogo and Zucker, Jeffery},
   title = {Approximability in the {GPAC}},
   journal = {Logical Methods in Computer Science},
   volume = {15},
   number = {3},
   year = {2019},
   pages = {Paper No. 24, 24},
   doi = {10.23638/LMCS-15(3:24)2019},
}

@article{PZ97,
   author = {Pour-El, Marian B. and Zhong, Ning},
   title = {The Wave Equation with Computable Initial Data Whose Unique Solution Is Nowhere Computable},
   journal = {Mathematical Logic Quarterly},
   volume = {43},
   number = {4},
   year = {1997},
   pages = {499--509},
}

@inproceedings{Rai05,
   author = {Raichev, Alexander},
   title = {Relative Randomness and Real Closed Fields},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {135--143},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@phdthesis{Rak15,
   author = {Rakotoniaina, Tahina},
   title = {On the Computational Strength of {R}amsey's Theorem},
   school = {Department of Mathematics and Applied Mathematics, University of Cape Town},
   address = {Rondebosch, South Africa},
   year = {2015},
   note = {{Ph.D.} thesis},
}

@article{Rau21,
   author = {Rauzy, Emmanuel},
   title = {Obstruction to a {H}igman embedding theorem for residually finite groups with solvable word problem},
   journal = {Journal of Group Theory},
   volume = {24},
   number = {3},
   year = {2021},
   pages = {445--452},
   doi = {10.1515/jgth-2020-0030},
}

@article{Rau22,
   author = {Rauzy, Emmanuel},
   title = {Computability of finite quotients of finitely generated groups},
   journal = {Journal of Group Theory},
   volume = {25},
   number = {2},
   year = {2022},
   pages = {217--246},
   doi = {10.1515/jgth-2020-0029},
}

@phdthesis{Rau22a,
   author = {Rauzy, Emmanuel},
   title = {Perspectives on an effective theory of groups},
   school = {Universit{\'e} de Paris},
   year = {2022},
}

@article{RB99,
   author = {Richman, Fred and Bridges, Douglas S.},
   title = {A constructive proof of {G}leason's theorem},
   journal = {Journal of Functional Analysis},
   volume = {162},
   number = {2},
   year = {1999},
   pages = {287--312},
}

@article{RBCJM81,
   author = {Richman, Fred and Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray},
   title = {Compactly generated {B}anach spaces},
   journal = {Archiv der Mathematik. Archives of Mathematics. Archives Math\'ematiques},
   volume = {36},
   number = {3},
   year = {1981},
   pages = {239--243},
}

@article{RBS02,
   author = {Richman, Fred and Bridges, Douglas S. and Schuster, Peter},
   title = {Trace-class operators},
   journal = {Houston Journal of Mathematics},
   volume = {28},
   number = {3},
   year = {2002},
   pages = {565--583},
}

@inproceedings{Ret05,
   author = {Rettinger, Robert},
   title = {A fast algorithm for {J}ulia sets of hyperbolic rational functions},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {145--157},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{Ret07,
   author = {Rettinger, Robert},
   title = {Computable {R}iemann Surfaces},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {638--647},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@inproceedings{Ret08,
   author = {Rettinger, Robert},
   title = {On the Computability of {B}lochs Constant},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {315--322},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Ret08a,
   author = {Rettinger, Robert},
   title = {{B}loch's Constant is Computable},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {896--907},
}

@inproceedings{Ret08b,
   author = {Rettinger, Robert},
   title = {Lower Bounds on the Continuation of Holomorphic Functions},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {207--217},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{Ret12,
   author = {Rettinger, Robert},
   title = {On computable approximations of {L}andau's constant},
   journal = {Log. Methods Comput. Sci.},
   volume = {8},
   number = {4},
   year = {2012},
   pages = {4:15, 11},
}

@inproceedings{Ret12a,
   author = {Rettinger, Robert},
   title = {Compactness and the effectivity of uniformization},
   editor = {Cooper, S. Barry and Dawar, Anuj and L{\"o}we, Benedikt},
   booktitle = {How the World Computes},
   series = {Lecture Notes in Computer Science},
   volume = {7318},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2012},
   pages = {626--625},
}

@article{Ret17,
   author = {Rettinger, Robert},
   title = {Effective {R}iemann mappings of multiply connected domains and {R}iemann surfaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1495--1520},
   doi = {10.1017/S0960129516000153},
}

@inproceedings{Ric01,
   author = {Richardson, Daniel},
   title = {The Uniformity Conjecture},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {253--272},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Ric01b,
   author = {Richman, Fred},
   title = {Constructive Mathematics without Choice},
   editor = {Peter Schuster and Ulrich Berger and Horst Osswald},
   booktitle = {Reuniting the Antipodes: Constructive and Nonstandard Views of the Continuum},
   series = {Synthese Library},
   volume = {306},
   publisher = {Kluwer A. P.},
   year = {2001},
}

@article{Ric02,
   author = {Richman, Fred},
   title = {Omniscience Principles and Functions of Bounded Variation},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {1},
   year = {2002},
   pages = {111--116},
}

@article{Ric08,
   author = {Richman, Fred},
   title = {Real numbers and other completions},
   journal = {Mathematical Logic Quarterly},
   volume = {54},
   number = {1},
   year = {2008},
   pages = {98--108},
   doi = {10.1002/malq.200710024},
}

@article{Ric09a,
   author = {Richman, Fred},
   title = {Intuitionistic notions of boundedness in $\mathbb{N}$},
   journal = {Mathematical Logic Quarterly},
   volume = {55},
   number = {1},
   year = {2009},
   pages = {31--36},
}

@article{Ric54,
   author = {Rice, H. Gordon},
   title = {Recursive real numbers},
   journal = {Proc.\ Amer.\ Math.\ Soc.},
   volume = {5},
   year = {1954},
   pages = {784--791},
}

@article{Ric68,
   author = {Richardson, D.B.},
   title = {Some undecidable problems involving elementary functions of a real variable},
   journal = {The Journal of Symbolic Logic},
   volume = {33},
   year = {1968},
   pages = {514--520},
}

@article{Ric90,
   author = {Richman, Fred},
   title = {Polynomials and linear transformations},
   journal = {Linear Algebra and its Applications},
   volume = {131},
   number = {1},
   year = {1990},
   pages = {131--137},
}

@article{Ric90a,
   author = {Fred Richman},
   title = {Intuitionism As Generalization},
   journal = {Philosophia Mathematica},
   volume = {1},
   year = {1990},
   pages = {124--128},
}

@article{Rob51,
   author = {Robinson, R.M.},
   title = {Review of ``{P}eter, {R}., {R}ekursive {F}unktionen''},
   journal = {The Journal of Symbolic Logic},
   volume = {16},
   year = {1951},
   pages = {280-282},
}

@article{Roe18,
   author = {R{\"o}snick-Neugebauer, Carsten},
   title = {Closed Sets and Operators thereon: Representations, Computability and Complexity},
   journal = {Logical Methods in Computer Science},
   volume = {14},
   number = {2},
   year = {2018},
   pages = {2:1, 41},
   doi = {10.23638/LMCS-14(2:1)2018},
}

@article{Roj08,
   author = {Rojas, Cristobal},
   title = {Computability and information in models of randomness and chaos},
   journal = {Mathematical Structures in Computer Science},
   volume = {18},
   number = {2},
   year = {2008},
   pages = {291--307},
   doi = {10.1017/S0960129508006646},
}

@phdthesis{Roj22,
   author = {Rojas, Diego Antonio},
   title = {Effective convergence in computable measure theory},
   school = {Iowa State University},
   address = {Ames, Iowa, USA},
   year = {2022},
   note = {{Ph.D.} thesis},
}

@article{Roj24,
   author = {Rojas, Diego A.},
   title = {Effective weak and vague convergence of measures on the real line},
   journal = {Archive for Mathematical Logic},
   volume = {63},
   number = {1-2},
   year = {2024},
   pages = {225--238},
   doi = {10.1007/s00153-023-00886-2},
}

@article{Ros06,
   author = {Ross, David A.},
   title = {A nonstandard proof of a lemma from constructive measure theory},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {5},
   year = {2006},
   pages = {494--497},
}

@article{Ros45,
   author = {Rosenbloom, Paul C.},
   title = {An elementary constructive proof of the fundamental theorem of algebra},
   journal = {American Mathematical Monthly},
   volume = {52},
   number = {10},
   year = {1945},
   pages = {562--570},
}

@proceedings{Ros85,
   title = {{E}rrett {B}ishop: {R}eflections on him and his research},
   editor = {Rosenblatt, M.},
   series = {Contemp. Math.},
   volume = {39},
   publisher = {Amer. Math. Soc.},
   address = {Providence},
   year = {1985},
}

@phdthesis{Roy11,
   author = {Roy, Daniel},
   title = {Computability, inference and modeling in probabilistic programming},
   school = {Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology},
   address = {Cambridge, Boston, USA},
   year = {2011},
   month = {April},
}

@article{RS15,
   author = {Reimann, Jan and Slaman, Theodore A.},
   title = {Measures and their random reals},
   journal = {Transactions American Mathematical Society},
   volume = {367},
   number = {7},
   year = {2015},
   pages = {5081--5097},
   doi = {10.1090/S0002-9947-2015-06184-4},
}

@article{RT11,
   author = {Rojas, Cristobal and Troubetzkoy, Serge},
   title = {Coding discretizations of continuous functions},
   journal = {Discrete Math.},
   volume = {311},
   number = {8-9},
   year = {2011},
   pages = {620--627},
   doi = {10.1016/j.disc.2011.01.011},
}

@article{Ruo04,
   author = {Ruohonen, Keijo},
   title = {Chomskian hierarchies of families of sets of piecewise continuous functions},
   journal = {Theory of Computing Systems},
   volume = {37},
   number = {5},
   year = {2004},
   pages = {609--638},
   doi = {10.1007/s00224-004-1176-0},
}

@incollection{Ruo94,
   author = {Ruohonen, Keijo},
   title = {Event detection for {ODE}s and nonrecursive hierarchies},
   editor = {Karhum\"{a}ki, J. and Maurer, H. and Rozenberg, G.},
   booktitle = {Results and trends in theoretical computer science ({G}raz, 1994)},
   series = {Lecture Notes in Computer Science},
   volume = {812},
   publisher = {Springer},
   address = {Berlin},
   year = {1994},
   pages = {358--371},
   doi = {10.1007/3-540-58131-6_59},
}

@article{Ruo97,
   author = {Ruohonen, Keijo},
   title = {Undecidable event detection problems for {ODE}s of dimension one and two},
   journal = {RAIRO Informatique Th\'{e}orique et Applications},
   volume = {31},
   number = {1},
   year = {1997},
   pages = {67--79},
   doi = {10.1051/ita/1997310100671},
}

@article{Ruo97a,
   author = {Ruohonen, Keijo},
   title = {Decidability and complexity of event detection problems for {ODE}s},
   journal = {Complexity},
   volume = {2},
   number = {6},
   year = {1997},
   pages = {41--53},
   doi = {10.1002/(SICI)1099-0526(199707/08)2:6<41::AID-CPLX9>3.0.CO;2-K},
}

@phdthesis{Rut13,
   author = {Rute, Jason},
   title = {Topics in algorithmic randomness and computable analysis},
   school = {Carnegie Mellon University},
   year = {2013},
   month = Aug,
   note = {{Ph.D.} thesis},
}

@article{Rut16,
   author = {Rute, Jason},
   title = {Computable randomness and betting for computable probability spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {62},
   number = {4-5},
   year = {2016},
   pages = {335--366},
   doi = {10.1002/malq.201200089},
}

@article{Rut18,
   author = {Rute, Jason},
   title = {Schnorr randomness for noncomputable measures},
   journal = {Information and Computation},
   volume = {258},
   year = {2018},
   pages = {50--78},
   doi = {10.1016/j.ic.2017.10.001},
}

@incollection{Rut20,
   author = {Rute, Jason},
   title = {Algorithmic randomness and constructive/computable measure theory},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {58--114},
   doi = {10.1017/9781108781718.004},
}

@article{RV90,
   author = {Rustem, Berc and Velupillai, Kumaraswamy},
   title = {Rationality, computability, and complexity},
   journal = {Journal of Economic Dynamics and Control},
   volume = {14},
   number = {2},
   year = {1990},
   pages = {419--432},
   doi = {10.1016/0165-1889(90)90027-E},
}

@inproceedings{RW02,
   author = {Rettinger, Robert and Weihrauch, Klaus},
   title = {The Computational Complexity of Some {J}ulia Sets},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@inproceedings{RW03,
   author = {Rettinger, Robert and Weihrauch, Klaus},
   title = {The computational complexity of some {J}ulia sets},
   editor = {Goemans, Michel X.},
   booktitle = {Proceedings of the 35th Annual {ACM} Symposium on Theory of Computing},
   publisher = {ACM Press},
   address = {New York},
   year = {2003},
   pages = {177--185},
   note = {San Diego, California, USA, June 9--11, 2003},
}

@article{RW13,
   author = {Rettinger, Robert and Weihrauch, Klaus},
   title = {Products of effective topological spaces and a uniformly computable {T}ychonoff Theorem},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   year = {2013},
   pages = {4:14, 21},
   doi = {10.2168/LMCS-9(4:14)2013},
}

@inproceedings{RW96,
   author = {Richter, Marcel K. and Wong, Kam-Chau},
   title = {Computable Economic Analysis},
   editor = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   publisher = {Universit\"at Trier},
   year = {1996},
   pages = {81--90},
   note = {Second CCA Workshop, Trier, August 22--23, 1996},
}

@article{RW99,
   author = {Richter, Marcel K. and Wong, Kam-Chau},
   title = {Computable preference and utility},
   journal = {Journal of Mathematical Economics},
   volume = {32},
   number = {3},
   year = {1999},
   pages = {339--354},
}

@article{RW99a,
   author = {Richter, Marcel K. and Wong, Kam-Chau},
   title = {Non-computability of competitive equilibrium},
   journal = {Economic Theory},
   volume = {14},
   number = {1},
   year = {1999},
   pages = {1--27},
}

@inproceedings{RWZ08,
   author = {Rettinger, Robert and Weihrauch, Klaus and Zhong, Ning},
   title = {Complexity of Blowup Problems (Extended Abstract)},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {219--230},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{RWZ09,
   author = {Rettinger, Robert and Weihrauch, Klaus and Zhong, Ning},
   title = {Topological complexity of blowup problems},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1301--1316},
   doi = {10.3217/jucs-015-06-1301},
}

@article{RY19,
   author = {Rojas, Cristobal and Yampolsky, Michael},
   title = {Computational intractability of attractors in the real quadratic family},
   journal = {Advances in Mathematics},
   volume = {349},
   year = {2019},
   pages = {941--958},
   doi = {10.1016/j.aim.2019.04.033},
}

@inproceedings{RY20,
   author = {Rojas, Cristobal and Yampolsky, Michael},
   title = {How to lose at {M}onte {C}arlo: a simple dynamical system whose typical statistical behavior is non-computable},
   booktitle = {S{TOC} '20---{P}roceedings of the 52nd {A}nnual {ACM} {SIGACT} {S}ymposium on {T}heory of {C}omputing},
   publisher = {ACM, New York},
   year = {2020},
   pages = {1066--1072},
   doi = {10.1145/3357713.3384237},
}

@incollection{RY21,
   author = {Rojas, Crist{\'o}bal and Yampolsky, Michael},
   title = {Computable Geometric Complex Analysis and Complex Dynamics},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {143--172},
   doi = {10.1007/978-3-030-59234-9_5},
}

@article{RY21a,
   author = {Rojas, Cristobal and Yampolsky, Michael},
   title = {Real quadratic {J}ulia sets can have arbitrarily high complexity},
   journal = {Foundations of Computational Mathematics},
   volume = {21},
   number = {1},
   year = {2021},
   pages = {59--69},
   doi = {10.1007/s10208-020-09457-w},
}

@inproceedings{RZ01,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {Hierarchy of Monotonically Computable Real Numbers},
   editor = {Sgall, Ji{\v{r}}{\'{\i}} and Pultr, Ale{\v{s}} and Kolman, Petr},
   booktitle = {Mathematical Foundations of Computer Science 2001},
   series = {Lecture Notes in Computer Science},
   volume = {2136},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {633--644},
   note = {26th International Symposium, MFCS 2001, Mari{\'{a}}nsk{\'{e}} L{\'{a}}zn{\v{e}}, Czech Republic, August 27-31, 2001},
}

@article{RZ03,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {On the hierarchy and extension of monotonically computable real numbers},
   journal = {Journal of Complexity},
   volume = {19},
   year = {2003},
   pages = {672--691},
}

@inproceedings{RZ05,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {On the {T}uring Degrees of Divergence Bounded Computable Reals},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {418--428},
   note = {{F}irst Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@inproceedings{RZ05b,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {Solovay reducibility on d-c.e. real numbers},
   editor = {Wang, Lusheng},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {3595},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {359--368},
   note = {11th Annual International Conference, COCOON 2005, Kunming, China, August 16--19, 2005},
}

@article{RZ06,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {A hierarchy of {T}uring degrees of divergence bounded computable real numbers},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {818--826},
}

@inproceedings{RZ09,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {Points on computable curves of computable lengths},
   booktitle = {Mathematical Foundations of Computer Science 2009},
   series = {Lecture Notes in Computer Science},
   volume = {5734},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {736--743},
   doi = {10.1007/978-3-642-03816-7_62},
}

@incollection{RZ21,
   author = {Rettinger, Robert and Zheng, Xizhong},
   title = {Computability of Real Numbers},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {3--28},
   doi = {10.1007/978-3-030-59234-9_1},
}

@inproceedings{RZB02,
   author = {Rettinger, Robert and Zheng, Xizhong and von Braunm{\"{u}}hl, Burchard},
   title = {Computable Real Functions of Bounded Variation and semi-Computable Real Numbers},
   editor = {Ibarra, Oscar H. and Zhang, Louxin},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {2387},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {47--56},
   note = {COCOON 2002, 8th Annual International Conference, August 15--17, 2002, Singapore},
}

@inproceedings{RZGB01,
   author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von Braunm{\"{u}}hl, Burchard},
   title = {Monotonically Computable Real Numbers},
   editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
   booktitle = {Combinatorics, Computability and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {London},
   year = {2001},
   pages = {187--201},
   note = {Proceedings of DMTCS 2001},
}

@inproceedings{RZGB01a,
   author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von Braunm{\"{u}}hl, Burchard},
   title = {Weakly Computable Real Numbers and Total Computable Real Functions},
   editor = {Wang, Jie},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {2108},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {586--595},
   note = {7th Annual International Conference, COCOON 2001, Guilin, China, August 20-23, 2001},
}

@article{RZGB02,
   author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von Braunm{\"{u}}hl, Burchard},
   title = {Monotonically Computable Real Numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {3},
   year = {2002},
   pages = {459--479},
}

@article{Saf12,
   author = {Safarik, Pavol},
   title = {A quantitative nonlinear strong ergodic theorem for {H}ilbert spaces},
   journal = {J. Math. Anal. Appl.},
   volume = {391},
   number = {1},
   year = {2012},
   pages = {26--37},
   doi = {10.1016/j.jmaa.2012.02.038},
}

@article{Sam03,
   author = {Sambin, Giovanni},
   title = {Some points in formal topology},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {347--408},
}

@inproceedings{Sam07,
   author = {Sambin, Giovanni},
   title = {Doing Without {T}uring Machines: Constructivism and Formal Topology},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {674--675},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{San02,
   author = {{\v{S}}anin, N.A.},
   title = {On a finitary version of mathematical analysis},
   journal = {Annals of Pure and Applied Logic},
   volume = {113},
   year = {2002},
   pages = {261--295},
   doi = {10.1016/S0168-0072(01)00062-8},
}

@article{San11,
   author = {Sanders, Sam},
   title = {{ERNA} and {F}riedman's reverse mathematics},
   journal = {The Journal of Symbolic Logic},
   volume = {76},
   number = {2},
   year = {2011},
   pages = {637--664},
   doi = {10.2178/jsl/1305810768},
}

@article{San13,
   author = {Sanders, Sam},
   title = {Reverse-engineering reverse mathematics},
   journal = {Annals of Pure and Applied Logic},
   volume = {164},
   number = {5},
   year = {2013},
   pages = {528--541},
   doi = {10.1016/j.apal.2012.11.006},
}

@article{San13a,
   author = {Sanders, Sam},
   title = {On the connection between nonstandard analysis and constructive analysis},
   journal = {Logique et Analyse},
   volume = {56},
   number = {222},
   year = {2013},
   pages = {183--210},
}

@inproceedings{San13b,
   author = {Sanders, Sam},
   title = {On algorithm and robustness in a non-standard sense},
   booktitle = {New challenges to philosophy of science},
   series = {Philos. Sci. Eur. Perspect.},
   volume = {4},
   publisher = {Springer},
   address = {Dordrecht},
   year = {2013},
   pages = {99--112},
}

@inproceedings{San16,
   author = {Sanders, Sam},
   title = {The computational content of nonstandard analysis},
   booktitle = {Proceedings {S}ixth {I}nternational {W}orkshop on {C}lassical {L}ogic and {C}omputation},
   series = {Electron. Proc. Theor. Comput. Sci. (EPTCS)},
   volume = {213},
   publisher = {EPTCS},
   year = {2016},
   pages = {24--40},
   doi = {10.4204/EPTCS.213.3},
}

@article{San17,
   author = {Sanders, Sam},
   title = {{G}rilliot's trick in Nonstandard Analysis},
   journal = {Logical Methods in Computer Science},
   volume = {13},
   number = {4},
   year = {2017},
   month = Nov,
   doi = {10.23638/LMCS-13(4:23)2017},
}

@inproceedings{San17a,
   author = {Sanders, Sam},
   title = {From nonstandard analysis to various flavours of computability theory},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Computer Science},
   volume = {10185},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {556--570},
}

@article{San18,
   author = {Sanders, Sam},
   title = {To be or not to be constructive, that is not the question},
   journal = {Indagationes Mathematicae},
   volume = {29},
   number = {1},
   year = {2018},
   pages = {313--381},
   doi = {10.1016/j.indag.2017.05.005},
}

@article{San18a,
   author = {Sanders, Sam},
   title = {The {G}andy-{H}yland functional and a computational aspect of nonstandard analysis},
   journal = {Computability},
   volume = {7},
   number = {1},
   year = {2018},
   pages = {7--43},
   doi = {10.3233/COM-170074},
}

@inproceedings{San19,
   author = {Sanders, Sam},
   title = {Nets and Reverse Mathematics},
   editor = {Manea, Florin and Martin, Barnaby and Paulusma, Dani{\"e}l and Primiero, Giuseppe},
   booktitle = {Computing with Foresight and Industry},
   series = {Lecture Notes in Computer Science},
   volume = {11558},
   publisher = {Springer},
   address = {Cham},
   year = {2019},
   pages = {253--264},
   note = {15th Conference on Computability in Europe, CiE 2019, Durham, UK, July 15-19, 2019},
   doi = {10.1007/978-3-030-22996-2_22},
}

@article{San21,
   author = {Sanders, Sam},
   title = {Nets and reverse mathematics},
   journal = {Computability},
   volume = {10},
   number = {1},
   year = {2021},
   pages = {31--62},
   doi = {10.3233/COM-190265},
}

@inproceedings{San21a,
   author = {Sanders, Sam},
   title = {Splittings and Robustness for the {H}eine-{B}orel Theorem},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {395--406},
   doi = {10.1007/978-3-030-80049-9_39},
}

@inproceedings{San23,
   author = {Sanders, Sam},
   title = {The Non-normal Abyss in {K}leene's Computability Theory},
   editor = {Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin},
   booktitle = {Unity of Logic and Computation},
   series = {Lecture Notes in Computer Science},
   volume = {13967},
   publisher = {Springer},
   address = {Cham},
   year = {2023},
   pages = {37--49},
   note = {19th Conference on Computability in Europe},
   doi = {10.1007/978-3-031-36978-0_4},
}

@article{San56,
   author = {{\v{S}}anin, N.A.},
   title = {Some problems of mathematical analysis in the light of constructive logic},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {2},
   year = {1956},
   pages = {27--36},
}

@book{San68,
   author = {{\v{S}}anin, N.A.},
   title = {Constructive Real Numbers and Constructive Function Spaces},
   series = {Translations of Mathematical Monographs},
   volume = {21},
   publisher = {American Mathematical Society},
   address = {Providence},
   year = {1968},
}

@article{San73,
   author = {{\v{S}}anin, N.A.},
   title = {A hierarchy of ways of understanding judgments in constructive mathematics ({R}ussian)},
   journal = {Trudy Mat. Inst. Steklov.},
   series = {Problems in the Constructive Trend in Mathematics, 6},
   volume = {129},
   year = {1973},
   pages = {203--266},
}

@article{San74,
   author = {{\v{S}}anin, N.A.},
   title = {The hierarchy of constructive {B}rouwer functionals ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Otdel. Mat. Inst. Steklov.},
   series = {Ivestigations in Constructive Mathematics and Mathematical Logic, {VI}},
   volume = {40},
   year = {1974},
   pages = {142--147},
   note = {dedicated to A.A. Markov on the occasion of his seventieth birthday},
}

@article{San79,
   author = {{\v{S}}anin, N.A.},
   title = {Canonical recursive functions and operations ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Otdel. Mat. Inst. Steklov.},
   series = {Studies in Constructive Mathematics and Mathematical Logic, {VIII}},
   volume = {88},
   year = {1979},
   pages = {218--235,246--247},
}

@article{San95,
   author = {{\v{S}}anin, N.A.},
   title = {Georg {C}antor as the author of constructions that play fundamental roles in constructive mathematics ({R}ussian)},
   journal = {Zap. Nau\v{c}n. Sem. Otdel. Mat. Inst. Steklov. POMI},
   series = {Issled. po Konstrukt. Mat. i Logike. {IX}},
   volume = {220},
   year = {1995},
   pages = {5--22,246--145},
}

@proceedings{SBO01,
   title = {Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum},
   editor = {Schuster, Peter and Berger, Ulrich and Osswald, Horst},
   series = {Synthese Library},
   volume = {306},
   publisher = {Kluwer Academic Publishers},
   address = {Dordrecht},
   year = {2001},
   note = {Proceedings of the symposium held in Venice, May 16--22, 1999},
}

@inproceedings{SBP19,
   author = {Schaefer, R.F. and Boche, H. and Poor, H. V.},
   title = {Turing Meets {S}hannon: On the Algorithmic Computability of the Capacities of Secure Communication Systems (Invited Paper)},
   booktitle = {2019 IEEE 20th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)},
   year = {2019},
   pages = {1--5},
   doi = {10.1109/SPAWC.2019.8815442},
}

@article{SC10,
   author = {Sella, Lorenzo and Collins, Pieter},
   title = {Computation of symbolic dynamics for one-dimensional maps},
   journal = {J. Comput. Appl. Math.},
   volume = {234},
   number = {2},
   year = {2010},
   pages = {418--436},
   doi = {10.1016/j.cam.2009.12.034},
}

@article{SC11,
   author = {Sella, Lorenzo and Collins, Pieter},
   title = {Computation of symbolic dynamics for two-dimensional piecewise-affine maps},
   journal = {Discrete Contin. Dyn. Syst. Ser. B},
   volume = {15},
   number = {3},
   year = {2011},
   pages = {739--767},
   doi = {10.3934/dcdsb.2011.15.739},
}

@article{Sca63,
   author = {Scarpellini, Bruno},
   title = {Zwei unentscheidbare {P}robleme der {A}nalysis},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {9},
   year = {1963},
   pages = {265--289},
}

@article{Sca71,
   author = {Scarpellini, Bruno},
   title = {A model for barrecursion of higher types},
   journal = {Compositio Mathematica},
   volume = {23},
   year = {1971},
   pages = {123--153},
}

@article{Sce84,
   author = {{\v{S}}{\v{c}}edrov, A.},
   title = {Differential equations in constructive analysis and in the recursive realizability topos},
   journal = {J. Pure Appl. Algebra},
   volume = {33},
   year = {1984},
   pages = {69--80},
}

@article{Sce86,
   author = {{\v{S}}{\v{c}}edrov, A.},
   title = {Diagonalization of continuous matrices as a representation of intuitionistic reals},
   journal = {Annals of Pure and Applied Logic},
   volume = {30},
   year = {1986},
   pages = {201--206},
}

@article{Sch00a,
   author = {Schuster, Peter},
   title = {A constructive look at generalized {C}auchy reals},
   journal = {Mathematical Logic Quarterly},
   volume = {46},
   number = {1},
   year = {2000},
   pages = {125--134},
}

@inproceedings{Sch00c,
   author = {Schuster, Peter},
   title = {Elementary choiceless constructive analysis},
   editor = {Clote, Peter G. and Schwichtenberg, Helmut},
   booktitle = {Computer Science Logic},
   series = {Lecture Notes in Computer Science},
   volume = {1862},
   publisher = {Springer},
   address = {Berlin},
   year = {2000},
   pages = {512--526},
   note = {14th International Workshop, CSL 2000, Fischbachau, Germany, August 21--26, 2000},
}

@inproceedings{Sch01,
   author = {Schr{\"o}der, Matthias},
   title = {Admissible Representations of Limit Spaces},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {273--295},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Sch02,
   author = {Schr{\"o}der, Matthias},
   title = {Extended admissibility},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {519--538},
}

@inproceedings{Sch02a,
   author = {Schr{\"o}der, Matthias},
   title = {A Natural Weak Limit Space with Admissible Representation which is not a Limit Space},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{Sch02b,
   author = {Schr{\"o}der, Matthias},
   title = {Effectivity in Spaces with Admissible Multirepresentations},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {78--90},
}

@phdthesis{Sch02c,
   author = {Schr{\"o}der, Matthias},
   title = {Admissible Representations for Continuous Computations},
   school = {Fachbereich Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {2002},
   note = {{Ph.D.} thesis},
}

@article{Sch03a,
   author = {Schuster, Peter M.},
   title = {Unique existence, approximate solutions, and countable choice},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {433--455},
}

@inproceedings{Sch03b,
   author = {Schr\"oder, Matthias},
   title = {Spaces allowing type-2 complexity theory revisited},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {345--361},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{Sch04,
   author = {Schr\"oder, Matthias},
   title = {Spaces allowing Type-2 Complexity Theory revisited},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {443--459},
}

@article{Sch05,
   author = {Schuster, Peter},
   title = {What is Continuity, Constructively?},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {2076--2085},
}

@article{Sch05a,
   author = {Schwichtenberg, Helmut},
   title = {A Direct Proof of the Equivalence between {B}rouwer's Fan Theorem and {K}{\"o}nig's Lemma with a Uniqueness Hypothesis},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {2086--2095},
}

@inproceedings{Sch06,
   author = {Schr\"oder, Matthias},
   title = {Admissible Representations in Computable Analysis},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {471--480},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@inproceedings{Sch06a,
   author = {Schwichtenberg, Helmut},
   title = {Inverting Monotone Continuous Functions in Constructive Analysis},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {490--504},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@article{Sch06c,
   author = {Schuster, Peter},
   title = {Unique solutions},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {6},
   year = {2006},
   pages = {534--539},
}

@inproceedings{Sch07,
   author = {Schr{\"o}der, Matthias},
   title = {Admissible representations of probability measures},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {61--78},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@inproceedings{Sch07a,
   author = {Schuster, Peter},
   title = {Problems as Solutions},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {676--684},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@article{Sch07b,
   author = {Schr{\"o}der, Matthias},
   title = {Admissible representations for probability measures},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {431--445},
   doi = {10.1002/malq.200710010},
}

@article{Sch07d,
   author = {Schuster, Peter},
   title = {Corrigendum to ``Unique solutions''},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {2},
   year = {2007},
   pages = {214},
}

@inproceedings{Sch08,
   author = {Schr\"oder, Matthias},
   title = {On the Relationship between Filter Spaces and Weak Limit Spaces},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {267--277},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Sch08a,
   author = {Schr\"{o}der, Matthias},
   title = {On the Relationship between Filter Spaces and Weak Limit Spaces},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {996--1015},
}

@inproceedings{Sch08b,
   author = {Schr\"{o}der, Matthias},
   title = {An Effective {T}ietze-{U}rysohn Theorem for {QCB}-Spaces (Extended Abstract)},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {231--242},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{Sch08c,
   author = {Schwichtenberg, Helmut},
   title = {Realizability interpretation of proofs in constructive analysis},
   journal = {Theory of Computing Systems},
   volume = {43},
   number = {3-4},
   year = {2008},
   pages = {583--602},
   doi = {10.1007/s00224-007-9027-4},
}

@incollection{Sch09,
   author = {Schwichtenberg, Helmut},
   title = {Program extraction in constructive analysis},
   booktitle = {Logicism, intuitionism, and formalism},
   series = {Synth. Libr.},
   volume = {341},
   publisher = {Springer},
   address = {Dordrecht},
   year = {2009},
   pages = {255--275},
   doi = {10.1007/978-1-4020-8926-8_13},
}

@article{Sch09a,
   author = {Schr{\"o}der, Matthias},
   title = {The sequential topology on {$\Bbb N^{\Bbb N^{\Bbb N}}$} is not regular},
   journal = {Mathematical Structures in Computer Science},
   volume = {19},
   number = {5},
   year = {2009},
   pages = {943--957},
   doi = {10.1017/S0960129509990065},
}

@article{Sch09b,
   author = {Schr{\"o}der, Matthias},
   title = {An effective {T}ietze-{U}rysohn theorem for {QCB}-spaces},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1317--1336},
}

@article{Sch10,
   author = {Schuster, Peter},
   title = {Problems, solutions, and completions},
   journal = {J. Log. Algebr. Program.},
   volume = {79},
   number = {1},
   year = {2010},
   pages = {84--91},
   doi = {10.1016/j.jlap.2009.02.007},
}

@article{Sch10a,
   author = {Schr{\"o}der, Matthias},
   title = {A note on closed subsets in quasi-zero-dimensional {Q}cb-spaces},
   journal = {J.UCS},
   volume = {16},
   number = {18},
   year = {2010},
   pages = {2711--2732},
}

@phdthesis{Sch16,
   author = {Schr{\"o}der, Matthias},
   title = {The Coincidence Problem in Computable Analysis},
   school = {Department of Mathematics, University of Darmstadt},
   address = {Darmstadt, Germany},
   year = {2016},
   note = {Habilitation Thesis},
}

@article{Sch18,
   author = {Schlicht, Philipp},
   title = {Continuous reducibility and dimension of metric spaces},
   journal = {Archive for Mathematical Logic},
   volume = {57},
   number = {3},
   year = {2018},
   pages = {329--359},
   doi = {10.1007/s00153-017-0571-6},
}

@incollection{Sch21,
   author = {Schr{\"o}der, Matthias},
   title = {Admissibly Represented Spaces and {Qcb}-Spaces},
   editor = {Brattka, Vasco and Hertling, Peter},
   booktitle = {Handbook of Computability and Complexity in Analysis},
   series = {Theory and Applications of Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {305--346},
   doi = {10.1007/978-3-030-59234-9\_9},
}

@incollection{Sch23,
   author = {Schwichtenberg, Helmut},
   title = {Logic for exact real arithmetic: multiplication},
   booktitle = {Mathematics for computation ({M}4{C})},
   publisher = {World Scientific},
   address = {Hackensack, NJ},
   year = {2023},
   pages = {39--69},
   doi = {10.1142/9789811245220_0003},
}

@book{Sch71,
   author = {Schnorr, Claus Peter},
   title = {Zuf{\"a}lligkeit und Wahrscheinlichkeit},
   series = {Lecture Notes in Mathematics},
   volume = {218},
   publisher = {Springer},
   address = {Berlin},
   year = {1971},
}

@article{Sch71a,
   author = {Schnorr, Claus Peter},
   title = {Komplexit{\"a}t von {A}lgorithmen mit {A}nwendung auf die {A}nalysis},
   journal = {Archiv f{\"u}r {M}athematische {L}ogik und {G}rundlagenforschung},
   volume = {14},
   year = {1971},
   pages = {54--68},
}

@inproceedings{Sch95,
   author = {Schr\"oder, Matthias},
   title = {Topological spaces allowing type 2 complexity theory},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {41--53},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@inproceedings{Sch97,
   author = {Schr\"oder, Matthias},
   title = {Fast Online Multiplication of Real Numbers},
   editor = {Reischuk, R{\"u}diger and Morvan, Michel},
   booktitle = {STACS 97},
   series = {Lecture Notes in Computer Science},
   volume = {1200},
   publisher = {Springer},
   address = {Berlin},
   year = {1997},
   pages = {81--92},
   note = {14th Annual Symposium on Theoretical Aspects of Computer Science, L{\"u}beck, Germany, February 27--March 1, 1997},
   doi = {10.1007/BFb0023450},
}

@inproceedings{Sch98,
   author = {Schr\"oder, Matthias},
   title = {Effective Metrization of Regular Spaces},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {63--80},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@inproceedings{Sch98a,
   author = {Schulz, Holger},
   title = {Type 2 Theory of Effectivity and Real {PCF}},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {81--90},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{Sch99,
   author = {Schr{\"o}der, Matthias},
   title = {Online computations of differentiable functions},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {331--345},
}

@article{Sco68,
   author = {Scott, Dana},
   title = {Extending the topological interpretation to intuitionistic analysis},
   journal = {Compositio Mathematica},
   volume = {20},
   year = {1968},
   pages = {194--210},
}

@inproceedings{Sco70a,
   author = {Scott, Dana},
   title = {Extending the topological interpretation to intuitionistic analysis. {II}},
   editor = {Kino, A. and Myhill, J. and Vesley, R. E.},
   booktitle = {Intuitionism and {P}roof {T}heory ({P}roc. {C}onf., {B}uffalo, {N}.{Y}., 1968)},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {60},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1970},
   pages = {235--255},
}

@article{SCZ12,
   author = {Sacerdoti Coen, Claudio and Zoli, Enrico},
   title = {Lebesgue's dominated convergence theorem in {B}ishop's style},
   journal = {Ann. Pure Appl. Logic},
   volume = {163},
   number = {2},
   year = {2012},
   pages = {140--150},
   doi = {10.1016/j.apal.2011.06.020},
}

@inproceedings{Sel05,
   author = {Selivanov, Victor L.},
   title = {Variations on {W}adge Reducibility (Extended Abstract)},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {159--171},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{Sel05a,
   author = {Selivanov, Victor L.},
   title = {Hierarchies in $\varphi$-spaces and applications},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {1},
   year = {2005},
   pages = {45--61},
}

@article{Sel05b,
   author = {Selivanov, Victor L.},
   title = {Variations on the {W}adge reducibility},
   journal = {Siberian Advances in Math.},
   volume = {15},
   number = {3},
   year = {2005},
   pages = {44--80},
}

@article{Sel05c,
   author = {Selivanov, Victor L.},
   title = {Classifying countable {B}oolean terms},
   journal = {Algebra and Logic},
   volume = {44},
   number = {2},
   year = {2005},
   pages = {95--108},
}

@article{Sel06,
   author = {Selivanov, Victor L.},
   title = {Towards a descriptive set theory for domain-like structures},
   journal = {Theoretical Computer Science},
   volume = {365},
   number = {3},
   year = {2006},
   pages = {258--282},
   doi = {10.1016/j.tcs.2006.07.053},
}

@article{Sel07,
   author = {Selivanov, Victor L.},
   title = {Hierarchies of {$\Delta^0_2$}--measurable $k$--partitions},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {446--461},
}

@inproceedings{Sel08,
   author = {Selivanov, Victor},
   title = {On the {W}adge Reducibility of $k$-Partitions},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {59--71},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@inproceedings{Sel08a,
   author = {Selivanov, Victor},
   title = {On the Difference Hierarchy in Countably Based $T_0$-Spaces},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {257--269},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{Sel13,
   author = {Selivanov, Victor},
   title = {Total Representations},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   year = {2013},
   pages = {2:5, 30},
   doi = {10.2168/LMCS-9(2:5)2013},
}

@inproceedings{Sel15,
   author = {Selivanov, Victor},
   title = {Towards the Effective Descriptive Set Theory},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {324--333},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_33},
}

@inproceedings{Sel17,
   author = {Selivanov, Victor L.},
   title = {Extending {W}adge Theory to k-Partitions},
   editor = {Kari, Jarkko and Manea, Florin and Petre, Ion},
   booktitle = {Unveiling Dynamics and Complexity},
   series = {Lecture Notes in Computer Science},
   volume = {10307},
   publisher = {Springer},
   address = {Cham},
   year = {2017},
   pages = {387--399},
   note = {13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017},
   doi = {10.1007/978-3-319-58741-7_36},
}

@article{Sel17a,
   author = {Selivanov, Victor},
   title = {Towards a descriptive theory of cb0-spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1553--1580},
   doi = {10.1017/S0960129516000177},
}

@article{Sel20,
   author = {Selivanov, Victor},
   title = {Q-{W}adge degrees as free structures},
   journal = {Computability},
   volume = {9},
   number = {3-4},
   year = {2020},
   pages = {327--341},
   doi = {10.3233/COM-180241},
}

@article{Sel20a,
   author = {Selivanov, V. L.},
   title = {On degree spectra of topological spaces},
   journal = {Lobachevskii Journal of Mathematics},
   volume = {41},
   number = {2},
   year = {2020},
   pages = {252--259},
   doi = {10.1134/s1995080220020146},
}

@incollection{Sel20b,
   author = {Selivanov, Victor},
   title = {Well-quasi orders and hierarchy theory},
   booktitle = {Well-quasi orders in computation, logic, language and reasoning---a unifying concept of proof theory, automata theory, formal languages and descriptive set theory},
   series = {Trends Log. Stud. Log. Libr.},
   volume = {53},
   publisher = {Springer, Cham},
   year = {2020},
   pages = {271--319},
   doi = {10.1007/978-3-030-30229-0\_10},
}

@inproceedings{Sel21,
   author = {Selivanov, Victor},
   title = {Non-collapse of the Effective {W}adge Hierarchy},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {407--416},
   doi = {10.1007/978-3-030-80049-9_40},
}

@article{Sel21a,
   author = {Selivanov, V. L.},
   title = {Effective {W}adge hierarchy in computable quasi-{P}olish spaces},
   journal = {Siberian Electronic Mathematical Reports},
   volume = {18},
   number = {1},
   year = {2021},
   pages = {121--135},
}

@incollection{Sel21b,
   author = {Selivanov, Victor},
   title = {Non-collapse of the effective {W}adge hierarchy},
   booktitle = {Connecting with computability},
   series = {Lecture Notes in Comput. Sci.},
   volume = {12813},
   publisher = {Springer, Cham},
   year = {2021},
   pages = {407--416},
   doi = {10.1007/978-3-030-80049-9\_40},
}

@article{Sel22,
   author = {Selivanov, Victor},
   title = {A {$Q$}-{W}adge hierarchy in quasi-{P}olish spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {87},
   number = {2},
   year = {2022},
   pages = {732--757},
   doi = {10.1017/jsl.2020.52},
}

@article{Sel22a,
   author = {Selivanov, Victor},
   title = {Non-collapse of the effective {W}adge hierarchy},
   journal = {Computability},
   volume = {11},
   number = {3-4},
   year = {2022},
   pages = {335--358},
   doi = {10.3233/COM-210376},
}

@incollection{Sel22c,
   author = {Selivanova, Svetlana},
   title = {Computational complexity of classical solutions of partial differential equations},
   booktitle = {Revolutions and revelations in computability},
   series = {Lecture Notes in Comput. Sci.},
   volume = {13359},
   publisher = {Springer},
   address = {Cham},
   year = {2022},
   pages = {299--312},
   doi = {10.1007/978-3-031-08740-0\_25},
}

@article{Sel23,
   author = {Selivanov, Victor},
   title = {Descriptive complexity of {${\rm qcb}_0$}-spaces},
   journal = {Theoretical Computer Science},
   volume = {945},
   year = {2023},
   pages = {Paper No. 113666, 43},
   doi = {10.1016/j.tcs.2022.12.016},
}

@phdthesis{Sem09,
   author = {Semmes, Brian Thomas},
   title = {A Game for the {B}orel Functions},
   school = {Institute for Logic, Language and Computation, University of Amsterdam},
   year = {2009},
   note = {{Ph.D.} thesis},
}

@inproceedings{SG11,
   author = {Skordev, Dimiter and Georgiev, Ivan},
   title = {On a relative computability notion for real functions},
   booktitle = {Models of computation in context},
   series = {Lecture Notes in Comput. Sci.},
   volume = {6735},
   publisher = {Springer},
   address = {Heidelberg},
   year = {2011},
   pages = {270--279},
   doi = {10.1007/978-3-642-21875-0_29},
}

@article{She76,
   author = {Shepherdson, J.C.},
   title = {On the definition of computable function of a real variable},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {22},
   year = {1976},
   pages = {391--402},
}

@article{Sho22,
   author = {Shojaei-Fard, Ali},
   title = {Halting problem in {F}eynman graphon processes derived from the renormalization {H}opf algebra},
   journal = {Bull. Transilv. Univ. Bra\c{s}ov Ser. III. Math. Comput. Sci.},
   volume = {2(64)},
   number = {1},
   year = {2022},
   pages = {139--157},
   doi = {10.31926/but.mif},
}

@article{Sho59,
   author = {Shoenfield, J.R.},
   title = {On degrees of unsolvability},
   journal = {Ann. of Math.},
   volume = {69},
   number = {2},
   year = {1959},
   pages = {644-653},
}

@inproceedings{Sim03,
   author = {Simpson, Alex K.},
   title = {Towards a Convenient Category of Topological Domains},
   booktitle = {Proceedings of the 13th ALGI Workshop, RIMS, Kyoto University},
   year = {2003},
}

@article{Sim05,
   author = {Simonsen, Jakob G.},
   title = {Specker sequences revisited},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {5},
   year = {2005},
   pages = {532--540},
}

@article{Sim06,
   author = {Simonsen, Jakob G.},
   title = {On local non-compactness in recursive mathematics},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {4},
   year = {2006},
   pages = {323--330},
}

@article{Sim07,
   author = {Simpson, Stephen G.},
   title = {Almost everywhere domination and superhighness},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {462--482},
}

@article{Sim07a,
   author = {Simpson, Stephen G.},
   title = {Mass problems and almost everywhere domination},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {483--492},
}

@article{Sim08,
   author = {Simpson, Stephen G.},
   title = {Mass problems and intuitionism},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {49},
   number = {2},
   year = {2008},
   pages = {127--136},
   doi = {10.1215/00294527-2008-002},
}

@book{Sim09,
   author = {Simpson, Stephen G.},
   title = {Subsystems of Second Order Arithmetic},
   edition = {2nd},
   series = {Perspectives in Logic},
   publisher = {Cambridge University Press},
   year = {2009},
}

@article{Sim09a,
   author = {Simpson, Stephen G.},
   title = {Mass problems and measure-theoretic regularity},
   journal = {Bulletin of Symbolic Logic},
   volume = {15},
   number = {4},
   year = {2009},
   pages = {385--409},
   doi = {10.2178/bsl/1255526079},
}

@article{Sim11,
   author = {Simpson, Stephen G.},
   title = {Mass problems associated with effectively closed sets},
   journal = {The Tohoku Mathematical Journal. Second Series},
   volume = {63},
   number = {4},
   year = {2011},
   pages = {489--517},
   doi = {10.2748/tmj/1325886278},
}

@book{Sim99,
   author = {Simpson, Stephen G.},
   title = {Subsystems of Second Order Arithmetic},
   series = {Perspectives in Mathematical Logic},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
}

@article{Sip19,
   author = {Sipo\c{s}, Andrei},
   title = {Proof mining in {$L_p$} spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {84},
   number = {4},
   year = {2019},
   pages = {1612--1629},
   doi = {10.1017/jsl.2019.55},
}

@article{SK10,
   author = {Safarik, Pavol and Kohlenbach, Ulrich},
   title = {On the computational content of the {B}olzano-{W}eierstra\ss{} Principle},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {5},
   year = {2010},
   pages = {508--532},
}

@article{SK12,
   author = {Schade, K. and Kohlenbach, U.},
   title = {Effective metastability for modified {H}alpern iterations in {CAT}(0) spaces},
   journal = {Fixed Point Theory Appl.},
   year = {2012},
   pages = {2012:191, 19},
   doi = {10.1186/1687-1812-2012-191},
}

@article{Ska83,
   author = {Skandalis, Kostas},
   title = {Programmability in the set of real numbers and second-order recursion},
   journal = {Fundamenta Informaticae},
   volume = {6},
   number = {3--4},
   year = {1983},
   pages = {257--274},
}

@article{Ska84,
   author = {Skandalis, Kostas},
   title = {Programmable real numbers and functions},
   journal = {Fundamenta Informaticae},
   volume = {7},
   number = {1},
   year = {1984},
   pages = {27--56},
}

@article{Ska90,
   author = {Skandalis, Kostas},
   title = {Non-Recursiveness of the Operations on Real Numbers},
   journal = {Theoretical Computer Science},
   volume = {71},
   year = {1990},
   pages = {425--429},
}

@inproceedings{Ska95,
   author = {Skandalis, Kostas},
   title = {Program computability over the real numbers},
   editor = {Ko, Ker-I and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {190},
   publisher = {FernUniversit\"at Hagen},
   year = {1995},
   month = sep,
   pages = {55--63},
   note = {CCA Workshop, Hagen, August 19--20, 1995},
}

@inproceedings{Sko01,
   author = {Skordev, Dimiter},
   title = {Characterization of the Computable Real Numbers by Means of Primitive Recursive Functions},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {296--309},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Sko02,
   author = {Skordev, Dimiter},
   title = {Computability of Real Numbers by Using a Given Class of Functions in the Set of Natural Numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {91--106},
}

@article{Sko04,
   author = {Skordev, Dimiter},
   title = {Some subrecursive versions of {G}rzegorczyk's {U}niformity {T}heorem},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {520--524},
}

@inproceedings{Sko08,
   author = {Skordev, Dimiter},
   title = {$\mathcal{E}^2$-computability of $e$, $\pi$ and other famous constants},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {37--47},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Sko08a,
   author = {Skordev, Dimiter},
   title = {On the Subrecursive Computability of Several Famous Constants},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {861--875},
}

@inproceedings{Sko11,
   author = {Skordev, Dimiter},
   title = {Uniform computability of real functions},
   booktitle = {120 Years Faculty of Mathematics and Informatics, St. Kliment Ohridski University of Sofia, Proceedings},
   publisher = {St. Kliment Ohridski University Press},
   address = {Sofia},
   year = {2011},
   pages = {179--185},
}

@article{Sko13,
   author = {Skordev, Dimiter},
   title = {On Some Computability Notions for Real Functions},
   journal = {Computability},
   volume = {1},
   number = {1},
   year = {2013},
   pages = {67--73},
   doi = {10.3233/COM-13018},
}

@article{Sko13a,
   author = {Skordev, Dimiter},
   title = {Approximation systems for functions in topological and in metric spaces},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   year = {2013},
   pages = {4:15, 21},
   doi = {10.2168/LMCS-9(4:15)2013},
}

@article{Sko13b,
   author = {Skordev, Dimiter},
   title = {A simple characterization of the computability of real functions},
   journal = {Annual Univ. Sofia Fac. Math. Inf.},
   volume = {101},
   year = {2013},
   pages = {115--122},
}

@article{Sko16,
   author = {Skordev, Dimiter},
   title = {Some theorems on passing from local to global presence of properties of functions},
   journal = {Logical Methods in Computer Science},
   volume = {12},
   number = {4},
   year = {2016},
   month = Oct,
   doi = {10.2168/LMCS-12(4:3)2016},
}

@article{Sko22,
   author = {Skordev, Dimiter},
   title = {Some aspects of distancing},
   journal = {C. R. Acad. Bulgare Sci.},
   volume = {75},
   number = {1},
   year = {2022},
   pages = {3--10},
   doi = {10.7546/crabs.2022.01.01},
}

@article{Sli64,
   author = {Slisenko, A.O.},
   title = {Examples of a nondiscontinuous but not continuous constructive operator in a metric space ({R}ussian)},
   journal = {Trudy Mat.\ Inst.\ Steklov},
   volume = {72},
   year = {1964},
   pages = {524--532},
   note = {(English trans. in AMS Trans. 100, 1972)},
}

@article{Soa69,
   author = {Soare, R.I.},
   title = {Recursion theory and {D}edekind cuts},
   journal = {Trans.\ Amer.\ Math.\ Soc.},
   volume = {140},
   year = {1969},
   pages = {271--294},
}

@article{Soa69a,
   author = {Soare, R.I.},
   title = {Cohesive sets and recursively enumerable {D}edekind cuts},
   journal = {Pacific J.\ Math.},
   volume = {31},
   year = {1969},
   pages = {215--231},
}

@inproceedings{Sol16,
   author = {Solomon, Reed},
   title = {Computable Reductions and Reverse Mathematics},
   editor = {Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nata\v{s}a},
   booktitle = {Pursuit of the Universal},
   series = {Lecture Notes in Computer Science},
   volume = {9709},
   publisher = {Springer},
   address = {Switzerland},
   year = {2016},
   pages = {182--191},
   note = {12th Conference on Computability in Europe, CiE 2016, Paris, France, June 27 - July 1, 2016},
   doi = {10.1007/978-3-319-40189-8_19},
}

@inproceedings{Spa07,
   author = {Spandl, Christoph},
   title = {Computing the topological entropy of shifts},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {131--155},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Spa07a,
   author = {Spandl, Christoph},
   title = {Computing the topological entropy of shifts},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {493--510},
}

@inproceedings{Spa08,
   author = {Spandl, Christoph},
   title = {Computability of Topological Pressure for Shifts of Finite Type with Applications in Statistical Physics},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {385--401},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Spa08a,
   author = {Spandl, Christoph},
   title = {Computability of Topological Pressure for Sofic Shifts with Applications in Statistical Physics},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {876--895},
}

@article{Spa12,
   author = {Spandl, Christoph},
   title = {Computational complexity of iterated maps on the interval},
   journal = {Math. Comput. Simulation},
   volume = {82},
   number = {8},
   year = {2012},
   pages = {1459--1477},
   doi = {10.1016/j.matcom.2012.02.003},
}

@article{Spe49,
   author = {Specker, Ernst},
   title = {Nicht konstruktiv beweisbare {S}\"atze der {A}nalysis},
   journal = {The Journal of Symbolic Logic},
   volume = {14},
   number = {3},
   year = {1949},
   pages = {145--158},
}

@inproceedings{Spe59,
   author = {Specker, Ernst},
   title = {Der {S}atz vom {M}aximum in der rekursiven {A}nalysis},
   editor = {Heyting, A.},
   booktitle = {Constructivity in Mathematics},
   series = {Studies in Logic and the Foundations of Mathematics},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1959},
   pages = {254--265},
   note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957},
}

@inproceedings{Spe69,
   author = {Specker, Ernst},
   title = {The fundamental theorem of algebra in recursive analysis},
   editor = {Dejon, B.\ and Henrici, P.},
   booktitle = {Constructive Aspects of the Fundamental Theorem of Algebra},
   publisher = {Wiley-Interscience},
   address = {London},
   year = {1969},
   pages = {321--329},
}

@article{Spi02,
   author = {Spitters, Bas},
   title = {Located Operators},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {107--122},
}

@phdthesis{Spi02a,
   author = {Spitters, Bas},
   title = {Constructive and intuitionistic integration theory and functional analysis},
   school = {University of Nijmegen},
   year = {2002},
}

@article{Spi05,
   author = {Spitters, Bas},
   title = {Constructive Results on Operator Algebras},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {2096--2113},
}

@article{Spi06,
   author = {Spitters, Bas},
   title = {A constructive view on ergodic theorems},
   journal = {The Journal of Symbolic Logic},
   volume = {71},
   number = {2},
   year = {2006},
   pages = {611--623},
}

@article{Spi10,
   author = {Spitters, Bas},
   title = {Locatedness and overt sublocales},
   journal = {Annals of Pure and Applied Logic},
   volume = {162},
   year = {2010},
   pages = {36--54},
}

@article{Spr01,
   author = {Spreen, Dieter},
   title = {Representations versus numberings: on the relationship of two computability notions},
   journal = {Theoretical Computer Science},
   volume = {262},
   year = {2001},
   pages = {473--499},
}

@article{Spr01a,
   author = {Spreen, Dieter},
   title = {Can partial indexings be totalized?},
   journal = {The Journal of Symbolic Logic},
   volume = {66},
   number = {3},
   year = {2001},
   pages = {1157--1185},
}

@article{Spr05,
   author = {Spreen, Dieter},
   title = {Strong reducibilities for partial numberings},
   journal = {Archive for Mathematical Logic},
   volume = {44},
   number = {3},
   year = {2005},
   pages = {209--217},
}

@inproceedings{Spr08,
   author = {Spreen, Dieter},
   title = {On the Continuity of Effective Multifunctions},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {271--286},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@inproceedings{Spr08a,
   author = {Spreen, Dieter},
   title = {On some problems in computable topology},
   booktitle = {Logic {C}olloquium 2005},
   series = {Lect. Notes Log.},
   volume = {28},
   publisher = {Assoc. Symbol. Logic},
   address = {Urbana, IL},
   year = {2008},
   pages = {221--254},
}

@article{Spr10,
   author = {Spreen, Dieter},
   title = {Effectivity and effective continuity of multifunctions},
   journal = {J. Symbolic Logic},
   volume = {75},
   number = {2},
   year = {2010},
   pages = {602--640},
   doi = {10.2178/jsl/1268917496},
}

@article{Spr14,
   author = {David A. Sprecher},
   title = {On computational algorithms for real-valued continuous functions of several variables},
   journal = {Neural Networks},
   volume = {59},
   year = {2014},
   pages = {16--22},
   doi = {10.1016/j.neunet.2014.05.015},
}

@article{Spr17,
   author = {Spreen, Dieter},
   title = {Some results related to the continuity problem},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1601--1624},
   doi = {10.1017/S0960129516000190},
}

@inproceedings{Spr88,
   author = {Spreen, Dieter},
   title = {Computable one-to-one enumerations of effective domains},
   editor = {Main, M. and Melton, A. and Mislove, M. and Schmidt, D.},
   booktitle = {Mathematical foundations of programming language semantics},
   series = {Lecture Notes in Computer Science},
   volume = {298},
   publisher = {Springer},
   address = {Berlin},
   year = {1988},
   pages = {372--384},
}

@inproceedings{Spr90,
   author = {Spreen, Dieter},
   title = {A characterization of effective topological spaces},
   editor = {Ambos-Spies, K. and M{\"u}ller, G. H. and Sacks, G. E.},
   booktitle = {Recursion theory week},
   series = {Lecture Notes in Mathematics},
   volume = {1432},
   publisher = {Springer},
   address = {Berlin},
   year = {1990},
   pages = {363--387},
   note = {Proceedings of the conference held at the Mathematisches Forschungsinstitut, Oberwolfach, March 19--25, 1989},
}

@article{Spr90a,
   author = {Spreen, Dieter},
   title = {Computable one-to-one enumerations of effective domains},
   journal = {Information and Computation},
   volume = {84},
   year = {1990},
   pages = {26--46},
}

@inproceedings{Spr91,
   author = {Spreen, Dieter},
   title = {A characterization of effective topological spaces {II}},
   booktitle = {Topology and category theory in computer science},
   publisher = {Oxford Univ. Press},
   address = {New York},
   year = {1991},
   pages = {231--255},
   note = {Oxford, 1989},
}

@inproceedings{Spr92,
   author = {Spreen, Dieter},
   title = {Effective operators and continuity revisited},
   editor = {Nerode, A. and Ta{\u\i}tslin, M.},
   booktitle = {Logical foundations of computer science},
   series = {Lecture Notes in Computer Science},
   volume = {620},
   publisher = {Springer},
   address = {Berlin},
   year = {1992},
   pages = {459--469},
}

@article{Spr95,
   author = {Spreen, Dieter},
   title = {On Some Decision Problems in Programming},
   journal = {Information and Computation},
   volume = {122},
   number = {1},
   year = {1995},
   pages = {120--139},
   note = {(Corrigendum: Inform. and Comp. 148, 241--244, 1999)},
}

@article{Spr96,
   author = {Spreen, Dieter},
   title = {Effective inseparability in a topological setting},
   journal = {Annals of Pure and Applied Logic},
   volume = {80},
   year = {1996},
   pages = {257--275},
}

@article{Spr98,
   author = {Spreen, Dieter},
   title = {On Effective Topological Spaces},
   journal = {The Journal of Symbolic Logic},
   volume = {63},
   number = {1},
   year = {1998},
   pages = {185--221},
}

@article{SR97,
   author = {Stallworth, Daniel T. and Roush, Fred W.},
   title = {An undecidable property of definite integrals},
   journal = {Proceedings of the American Mathematical Society},
   volume = {125},
   number = {7},
   year = {1997},
   pages = {2147--2148},
}

@inproceedings{SS01,
   author = {Spreen, Dieter and Schulz, Holger},
   title = {On the equivalence of some approaches to computability on the real line},
   editor = {Keimel, Klaus and Zhang, Guo-Qiang and Liu, Ying Ming and Chen, Yixiang},
   booktitle = {Domains and processes},
   series = {Semantics Structures in Computation},
   volume = {1},
   publisher = {Kluwer},
   address = {Dordrecht},
   year = {2001},
   pages = {67--101},
   note = {Proceedings of the 1st International Symposium on Domain Theory},
}

@article{SS05a,
   author = {Sofroniou, Mark and Spaletta, Giulia},
   title = {Precise numerical computation},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {64},
   year = {2005},
   pages = {113--134},
}

@article{SS06,
   author = {Schr{\"o}der, Matthias and Simpson, Alex},
   title = {Representing probability measures using probabilistic processes},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {768--782},
}

@article{SS07,
   author = {Schr{\"o}der, Matthias and Simpson, Alex},
   title = {Two preservation results for countable products of sequential spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {17},
   year = {2007},
   pages = {161--172},
}

@inproceedings{SS08,
   author = {Selivanova, Svetlana and Selivanov, Victor},
   title = {Computing Solutions of Symmetric Hyperbolic Systems of {PDE}'s},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {243--255},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{SS09,
   author = {Selivanova, Svetlana and Selivanov, Victor},
   title = {Computing the Solution Operators of Symmetric Hyperbolic Systems of {PDE}},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1337--1364},
   doi = {10.3217/jucs-015-06-1337},
}

@inproceedings{SS14,
   author = {Schr{\"o}der, Matthias and Selivanov, Victor},
   title = {Hyperprojective hierarchy of {$qcb_0$}-spaces},
   editor = {Beckmann, Arnold and Csuhaj-Varj{\'u}, Erzs{\'e}bet and Meer, Klaus},
   booktitle = {Language, life, limits},
   series = {Lecture Notes in Comput. Sci.},
   volume = {8493},
   publisher = {Springer, Cham},
   year = {2014},
   pages = {352--361},
   doi = {10.1007/978-3-319-08019-2_37},
}

@article{SS15,
   author = {Schr{\"o}der, Matthias and Selivanov, Victor},
   title = {Hyperprojective hierarchy of {${\rm qcb}_0$}-spaces},
   journal = {Computability},
   volume = {4},
   number = {1},
   year = {2015},
   pages = {1--17},
   doi = {10.3233/COM-150031},
}

@article{SS15a,
   author = {Schr{\"o}der, Matthias and Selivanov, Victor},
   title = {Some hierarchies of {$QCB_0$}-spaces},
   journal = {Mathematical Structures in Computer Science},
   volume = {25},
   year = {2015},
   month = {12},
   pages = {1799--1823},
   doi = {10.1017/S0960129513000376},
}

@inproceedings{SS17,
   author = {Schr{\"o}der, Matthias and Steinberg, Florian},
   title = {Bounded time computation on metric spaces and Banach spaces},
   booktitle = {32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)},
   year = {2017},
   pages = {1-12},
   doi = {10.1109/LICS.2017.8005139},
}

@article{SS17a,
   author = {Selivanova, Svetlana and Selivanov, Victor},
   title = {Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of {PDE}s},
   journal = {Logical Methods in Computer Science},
   volume = {13},
   number = {4},
   year = {2017},
   month = Nov,
   doi = {10.23638/LMCS-13(4:13)2017},
}

@article{SS17b,
   author = {Selivanova, S. V. and Selivanov, V. L.},
   title = {On constructive number fields and the computability of solutions of partial differential equations},
   journal = {Doklady Akademii Nauk},
   volume = {477},
   number = {3},
   year = {2017},
   pages = {278--281},
   doi = {10.1134/s1064562417060138},
}

@inproceedings{SS18,
   author = {Selivanova, Svetlana V. and Selivanov, Victor L.},
   title = {Bit complexity of computing solutions for symmetric hyperbolic systems of {PDE}s (extended abstract)},
   editor = {Manea, F. and Miller, R.G. and Nowotka, D.},
   booktitle = {Sailing Routes in the World of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {10936},
   publisher = {Springer},
   address = {Cham},
   year = {2018},
   pages = {376--385},
   doi = {10.1007/978-3-319-94418-0_3},
}

@article{SS21,
   author = {Selivanova, Svetlana and Selivanov, Victor},
   title = {Bit complexity of computing solutions for symmetric hyperbolic systems of {PDE}s with guaranteed precision},
   journal = {Computability},
   volume = {10},
   number = {2},
   year = {2021},
   pages = {123--140},
   doi = {10.3233/COM-180215},
}

@incollection{SS21a,
   author = {Selivanov, Victor and Selivanova, Svetlana},
   title = {Primitive recursive ordered fields and some applications},
   booktitle = {Computer algebra in scientific computing},
   series = {Lecture Notes in Comput. Sci.},
   volume = {12865},
   publisher = {Springer, Cham},
   year = {2021},
   pages = {353--369},
   doi = {10.1007/978-3-030-85165-1\_20},
}

@article{SS23,
   author = {Selivanov, Victor and Selivanova, Svetlana},
   title = {Primitive recursive ordered fields and some applications},
   journal = {Computability},
   volume = {12},
   number = {1},
   year = {2023},
   pages = {71--99},
   doi = {10.3233/COM-210386},
}

@inproceedings{SSZ16,
   author = {Schr\"oder, Matthias and Steinberg, Florian and Ziegler, Martin},
   title = {Average-case bit-complexity theory of real functions},
   editor = {Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K.},
   booktitle = {Mathematical aspects of computer and information sciences},
   series = {Lecture Notes in Computer Science},
   volume = {9582},
   publisher = {Springer},
   address = {Cham},
   year = {2016},
   pages = {505--519},
   note = {6th International Conference, {MACIS} 2015, Berlin, Germany, November 11--13, 2015, Revised Selected Papers},
}

@article{ST03,
   author = {Stoltenberg-Hansen, Viggo and Tucker, John V.},
   title = {Computable and continuous partial homomorphisms on metric partial algebras},
   journal = {Bulletin of Symbolic Logic},
   volume = {9},
   number = {3},
   year = {2003},
   pages = {299--334},
}

@article{ST08,
   author = {Sorbi, Andrea and Terwijn, Sebastiaan A.},
   title = {Intermediate logics and factors of the {M}edvedev lattice},
   journal = {Annals of Pure and Applied Logic},
   volume = {155},
   number = {2},
   year = {2008},
   pages = {69--85},
   doi = {10.1016/j.apal.2008.03.002},
}

@article{ST90,
   author = {Shioji, Naoki and Tanaka, Kazuyuki},
   title = {Fixed Point Theory in Weak Second-Order Arithmetic},
   journal = {Annals of Pure and Applied Logic},
   volume = {47},
   year = {1990},
   pages = {167--188},
}

@inproceedings{ST95,
   author = {Stoltenberg-Hansen, Viggo and Tucker, John V.},
   title = {Effective Algebras},
   editor = {Abramsky, S. and Gabbay, D.M. and Maibaum, T.S.E.},
   booktitle = {Handbook of Logic in Computer Science, Volume 4},
   publisher = {Clarendon Press},
   address = {Oxford},
   year = {1995},
   pages = {357--527},
}

@article{ST99,
   author = {Stoltenberg-Hansen, Viggo and Tucker, John V.},
   title = {Concrete models of computation for topological algebras},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {347--378},
}

@article{Sta02,
   author = {Staiger, Ludwig},
   title = {How Large is the Set of Disjunctive Sequences?},
   journal = {Journal of Universal Computer Science},
   volume = {8},
   number = {2},
   year = {2002},
   pages = {348--362},
}

@article{Sta02a,
   author = {Staiger, Ludwig},
   title = {The {K}olmogorov complexity of real numbers},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {455--466},
}

@inproceedings{Sta08,
   author = {Staiger, Ludwig},
   title = {On Oscillation-free $\varepsilon$-random Sequences},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {287--297},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@article{Sta17,
   author = {Staiger, Ludwig},
   title = {Exact Constructive and Computable Dimensions},
   journal = {Theory of Computing Systems},
   volume = {61},
   number = {4},
   year = {2017},
   pages = {1288--1314},
   doi = {10.1007/s00224-017-9790-9},
}

@inproceedings{Sta99,
   author = {Staiger, Ludwig},
   title = {The {K}olmogorov Complexity of Real Numbers},
   editor = {Ciobanu, G. and Paun, Gh.},
   booktitle = {Fundamentals of Computation Theory},
   series = {Lecture Notes in Computer Science},
   volume = {1684},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {536--546},
}

@article{Ste17,
   author = {Steinberg, Florian},
   title = {Complexity theory for spaces of integrable functions},
   journal = {Logical Methods in Computer Science},
   volume = {13},
   number = {3},
   year = {2017},
   pages = {Paper No. 21, 39},
   doi = {10.23638/LMCS-13(3:21)2017},
}

@inproceedings{Ste21,
   author = {Steifer, Tomasz},
   title = {Simple Betting and Stochasticity},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {424--433},
   doi = {10.1007/978-3-030-80049-9_42},
}

@phdthesis{Ste99,
   author = {Stewart, Kristian Jon},
   title = {Concrete and Abstract Models of Computation over Metric Algebras},
   school = {University of Wales Swansea},
   address = {Singleton Park, Swansea, SA2 8PP, UK},
   year = {1999},
}

@inproceedings{STT19,
   author = {Steinberg, Florian and Th\'{e}ry, Laurent and Thies, Holger},
   title = {Quantitative continuity and computable analysis in {C}oq},
   booktitle = {10th {I}nternational {C}onference on {I}nteractive {T}heorem {P}roving},
   series = {LIPIcs. Leibniz Int. Proc. Inform.},
   volume = {141},
   publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform.},
   address = {Wadern},
   year = {2019},
   pages = {Art. No. 28, 21},
}

@article{STT21,
   author = {Steinberg, Florian and Thery, Laurent and Thies, Holger},
   title = {Computable analysis and notions of continuity in {Coq}},
   journal = {Logical Methods in Computer Science},
   volume = {17},
   number = {2},
   year = {2021},
   pages = {16:1--16:43},
   doi = {10.23638/LMCS-17(2:16)2021},
}

@inproceedings{Stu18,
   author = {Stull, Donald M.},
   title = {Results on the Dimension Spectra of Planar Lines},
   editor = {Potapov, Igor and Spirakis, Paul and Worrell, James},
   booktitle = {43rd International Symposium on Mathematical Foundations of Computer Science ({MFCS} 2018)},
   series = {Leibniz International Proceedings in Informatics (LIPIcs)},
   volume = {117},
   publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
   address = {Dagstuhl, Germany},
   year = {2018},
   pages = {79:1--79:15},
   doi = {10.4230/LIPIcs.MFCS.2018.79},
}

@incollection{Stu20,
   author = {Stull, Donald M.},
   title = {Resource bounded randomness and its applications},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {301--348},
   doi = {10.1017/9781108781718.010},
}

@article{STY02,
   author = {Simpson, Stephen G. and Tanaka, Kazuyuki and Yamazaki, Takeshi},
   title = {Some conservation results on weak {K}{\"o}nig's lemma},
   journal = {Annals of Pure and Applied Logic},
   volume = {118},
   number = {1-2},
   year = {2002},
   pages = {87--114},
   doi = {10.1016/S0168-0072(01)00121-X},
}

@phdthesis{Sun94,
   author = {S{\"u}nderhauf, Philipp},
   title = {Discrete Approximation of Spaces, A Uniform Approach to Topologically Structured Datatypes and their Function Spaces},
   school = {Fachbereich Mathematik, Technische Hochschule Darmstadt},
   address = {Darmstadt, Germany},
   year = {1994},
}

@article{Sun95,
   author = {S{\"u}nderhauf, Philipp},
   title = {A faithful computational model of the real numbers},
   journal = {Theoretical Computer Science},
   volume = {151},
   year = {1995},
   pages = {277--294},
}

@article{SV00,
   author = {Spitters, Bas and Veldman, Wim},
   title = {A constructive converse of the mean value theorem},
   journal = {Indagationes Mathematicae},
   volume = {11},
   number = {1},
   year = {2000},
   pages = {151--157},
}

@article{SV23,
   author = {Sold{\`a}, Giovanni and Valenti, Manlio},
   title = {Algebraic properties of the first-order part of a problem},
   journal = {Annals of Pure and Applied Logic},
   volume = {174},
   number = {7},
   year = {2023},
   pages = {103270},
   doi = {10.1016/j.apal.2023.103270},
}

@inproceedings{SVB01,
   author = {Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a and Bridges, Douglas S.},
   title = {Apartness as a Relation Between Subsets},
   editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
   booktitle = {Combinatorics, Computability and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {London},
   year = {2001},
   pages = {203--214},
   note = {Proceedings of DMTCS 2001},
}

@article{SVB03,
   author = {Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a and Bridges, Douglas S.},
   title = {Strong versus uniform continuity: a constructive round},
   journal = {Quaestiones Mathematicae},
   volume = {26},
   number = {2},
   year = {2003},
   pages = {171--190},
}

@inproceedings{SW05,
   author = {Stephan, Frank and Wu, Guohua},
   title = {Presentations of {K}-Trivial Reals and {K}olmogorov Complexity},
   editor = {Cooper, S. Barry and L{\"{o}}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms, First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 8-12, 2005, Proceedings},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   year = {2005},
   pages = {461--469},
   doi = {10.1007/11494645_57},
}

@article{Swa76,
   author = {de Swart, H.},
   title = {Elements of Intuitionistic Analysis. {R}olle's Theorem and Complete, Totally bounded, Metric Spaces},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {22},
   number = {1},
   year = {1976},
   pages = {289--298},
}

@article{Swa76a,
   author = {de Swart, H.},
   title = {Elements of Intuitionistic Analysis {II} the {S}tone-{W}eierstrass Theorem and {A}scoli's Theorem},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {22},
   number = {1},
   year = {1976},
   pages = {501--508},
}

@article{SWG12,
   author = {Skordev, Dimiter and Weiermann, Andreas and Georgiev, Ivan},
   title = {{$M^2$}-computable real numbers},
   journal = {J. Logic Comput.},
   volume = {22},
   number = {4},
   year = {2012},
   pages = {899--925},
   doi = {10.1093/logcom/exq050},
}

@article{SY11,
   author = {Simpson, Stephen G. and Yokoyama, Keita},
   title = {A nonstandard counterpart of {WWKL}},
   journal = {Notre Dame J. Form. Log.},
   volume = {52},
   number = {3},
   year = {2011},
   pages = {229--243},
   doi = {10.1215/00294527-1435429},
}

@article{SY12,
   author = {Sanders, Sam and Yokoyama, Keita},
   title = {The {D}irac delta function in two settings of reverse mathematics},
   journal = {Archive for Mathematical Logic},
   volume = {51},
   number = {1-2},
   year = {2012},
   pages = {99--121},
   doi = {10.1007/s00153-011-0256-5},
}

@article{SY15,
   author = {Selinger, Nikita and Yampolsky, Michael},
   title = {Constructive geometrization of {T}hurston maps},
   journal = {C. R. Math. Acad. Sci. Soc. R. Can.},
   volume = {37},
   number = {3},
   year = {2015},
   pages = {100--113},
}

@article{SY15a,
   author = {Selinger, Nikita and Yampolsky, Michael},
   title = {Constructive geometrization of {T}hurston maps and decidability of {T}hurston equivalence},
   journal = {Arnold Mathematical Journal},
   volume = {1},
   number = {4},
   year = {2015},
   pages = {361--402},
   doi = {10.1007/s40598-015-0024-4},
}

@inproceedings{SY84,
   author = {Spreen, Dieter and Young, Paul},
   title = {Effective operators in a topological setting},
   editor = {Richter, M.M. and B\"orger, E. and Oberschelp, W. and Schinzel, B. and Thomas, W.},
   booktitle = {Computation and Proof Theory},
   series = {Lecture Notes in Mathematics},
   volume = {1104},
   publisher = {Springer},
   address = {Berlin},
   year = {1984},
   pages = {437--451},
   note = {Proceedings of the Logic Colloquium, Aachen, July 18--23, 1983, Part II},
}

@article{SZ14,
   author = {Sun, Shu-Ming and Zhong, Ning},
   title = {On effective convergence of numerical solutions for differential equations},
   journal = {ACM Transactions on Computation Theory},
   volume = {6},
   number = {1},
   year = {2014},
   pages = {Art. 4, 25},
   doi = {10.1145/2578219},
}

@article{SZ15,
   author = {Sun, Shu-Ming and Zhong, Ning},
   title = {Computability aspects for 1st-order partial differential equations via characteristics},
   journal = {Theoretical Computer Science},
   volume = {583},
   year = {2015},
   pages = {27--39},
   doi = {10.1016/j.tcs.2015.03.039},
}

@article{Szu23,
   author = {Szudzik, Matthew P.},
   title = {Semantics of computable physical models},
   journal = {Studia Logica},
   volume = {111},
   number = {5},
   year = {2023},
   pages = {779--819},
   doi = {10.1007/s11225-023-10040-x},
}

@inproceedings{SZZ15,
   author = {Sun, Shu Ming and Zhong, Ning and Ziegler, Martin},
   title = {On Computability of {N}avier-{S}tokes' Equation},
   editor = {Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya},
   booktitle = {Evolving Computability},
   series = {Lecture Notes in Computer Science},
   volume = {9136},
   publisher = {Springer},
   address = {Cham},
   year = {2015},
   pages = {334--342},
   note = {11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29--July 3, 2015},
   doi = {10.1007/978-3-319-20028-6_34},
}

@incollection{SZZ20,
   author = {Sun, Shu-Ming and Zhong, Ning and Ziegler, Martin},
   title = {Computability of the Solutions to {N}avier-{S}tokes Equations via Effective Approximation},
   editor = {Du, Ding-Zhu and Wang, Jie},
   booktitle = {Complexity and Approximation: In Memory of {Ker-I Ko}},
   publisher = {Springer},
   address = {Cham},
   year = {2020},
   pages = {80--112},
   doi = {10.1007/978-3-030-41672-0_7},
}

@inproceedings{Tad03,
   author = {Tadaki, Kohtaro},
   title = {Upper bound by {K}olmogorov complexity for the probability in computable quantum measurement},
   editor = {Daumas, Marc et al.},
   booktitle = {RNC'5 Real Numbers and Computers},
   year = {2003},
   pages = {193--214},
   note = {Lyon, September 3--5, 2003},
}

@inproceedings{Tad04,
   author = {Tadaki, Kohtaro},
   title = {An extension of {C}haitin's halting probability $\Omega$ to measurement operator in infinite dimensional quantum system},
   editor = {Frougny, Christiane and Brattka, Vasco and M{\"{u}}ller, Norbert},
   booktitle = {RNC'6 Real Numbers and Computers},
   year = {2004},
   pages = {172--191},
   note = {Dagstuhl, Germany, November 15--17, 2004},
}

@article{Tad06,
   author = {Tadaki, Kohtaro},
   title = {An extension of {C}haitin's halting probability {$\Omega$} to a measurement operator in an infinite dimensional quantum system},
   journal = {Mathematical Logic Quarterly},
   volume = {52},
   number = {5},
   year = {2006},
   pages = {419--438},
}

@inproceedings{Tak01,
   author = {Takeuti, Izumi},
   title = {Effective Fixed Point Theorem Over a Non-computably Separable Metric Space},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {310--322},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Tak03,
   author = {Takeuti, Izumi},
   title = {Effective Limit in Computable Analysis},
   editor = {Daumas, Marc et al.},
   booktitle = {RNC'5 Real Numbers and Computers},
   year = {2003},
   pages = {161--175},
   note = {Lyon, September 3--5, 2003},
}

@inproceedings{Tak05,
   author = {Takeuti, Izumi},
   title = {Transition Systems over Continuous Time-Space},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {173--186},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{Tak11,
   author = {Takamura, Hiroki},
   title = {Powers of positive elements in {$C^*$}-algebras},
   journal = {Math. Log. Q.},
   volume = {57},
   number = {5},
   year = {2011},
   pages = {481--484},
   doi = {10.1002/malq.201010024},
}

@article{Tan11,
   author = {Tanaka, Yasuhito},
   title = {Equivalence between an approximate version of {B}rouwer's fixed point theorem and {S}perner's lemma: a constructive analysis},
   journal = {Appl. Math. E-Notes},
   volume = {11},
   year = {2011},
   pages = {238--243},
}

@article{Tan11a,
   author = {Tanaka, Yasuhito},
   title = {A proof of constructive version of {B}rouwer's fixed point theorem with uniform sequential continuity},
   journal = {ISRN Appl. Math.},
   year = {2011},
   pages = {Art. ID 276040, 9},
}

@article{Tan12,
   author = {Tanaka, Yasuhito},
   title = {Constructive proof of {B}rouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions},
   journal = {IAENG Int. J. Appl. Math.},
   volume = {42},
   number = {1},
   year = {2012},
   pages = {1--6},
}

@article{Tas10,
   author = {Taschner, Rudolf},
   title = {The swap of integral and limit in constructive mathematics},
   journal = {Math. Log. Q.},
   volume = {56},
   number = {5},
   year = {2010},
   pages = {533--540},
   doi = {10.1002/malq.200910107},
}

@inproceedings{Tay05,
   author = {Taylor, Paul},
   title = {A lambda calculus for real analysis},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {227--266},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@article{Tay06,
   author = {Taylor, Paul},
   title = {Computably based locally compact spaces},
   journal = {Logical Methods in Computer Science},
   volume = {2},
   number = {1},
   year = {2006},
   pages = {1:1, 70},
   doi = {10.2168/LMCS-2(1:1)2006},
}

@article{Tay06a,
   author = {Taylor, Walter},
   title = {Equations on real intervals},
   journal = {Algebra Universalis},
   volume = {55},
   number = {4},
   year = {2006},
   pages = {409--456},
}

@article{Tay10,
   author = {Taylor, Paul},
   title = {A lambda calculus for real analysis},
   journal = {Journal of Logic and Analysis},
   volume = {2},
   year = {2010},
   pages = {Paper 5, 115},
   doi = {10.4115/jla.2010.2.5},
}

@incollection{Tay11,
   author = {Taylor, Paul},
   title = {Foundations {\it for} Computable Topology},
   editor = {Sommaruga, Giovanni},
   booktitle = {Foundational Theories of Classical and Constructive Mathematics},
   series = {Western Ontario Series in Philosophy of Science},
   volume = {76},
   publisher = {Springer},
   address = {Dordrecht},
   year = {2011},
   pages = {265--310},
   doi = {10.1007/978-94-007-0431-2_14},
}

@book{TD88,
   author = {Troelstra, A.S. and van Dalen, D.},
   title = {Constructivism in Mathematics, Volume 1},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {121},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1988},
}

@book{TD88a,
   author = {Troelstra, A.S. and van Dalen, D.},
   title = {Constructivism in Mathematics, Volume 2},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {123},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1988},
}

@article{Ter06,
   author = {Terwijn, Sebastiaan A.},
   title = {The {M}edvedev lattice of computably closed sets},
   journal = {Archive for Mathematical Logic},
   volume = {45},
   number = {2},
   year = {2006},
   pages = {179--190},
   doi = {10.1007/s00153-005-0278-y},
}

@article{Ter06a,
   author = {Terwijn, Sebastiaan A.},
   title = {Constructive logic and the {M}edvedev lattice},
   journal = {Notre Dame Journal of Formal Logic},
   volume = {47},
   number = {1},
   year = {2006},
   pages = {73--82 (electronic)},
   doi = {10.1305/ndjfl/1143468312},
}

@inproceedings{Ter06b,
   author = {Terwijn, Sebastiaan A.},
   title = {Learning and computing in the limit},
   booktitle = {Logic {C}olloquium '02},
   series = {Lect. Notes Log.},
   volume = {27},
   publisher = {Assoc. Symbol. Logic},
   address = {La Jolla, CA},
   year = {2006},
   pages = {349--359},
}

@article{Ter07,
   author = {Terwijn, Sebastiaan A.},
   title = {Kripke models, distributive lattices, and {M}edvedev degrees},
   journal = {Studia Logica},
   volume = {85},
   number = {3},
   year = {2007},
   pages = {319--332},
   doi = {10.1007/s11225-007-9054-9},
}

@article{Ter08,
   author = {Terwijn, Sebastiaan A.},
   title = {On the structure of the {M}edvedev lattice},
   journal = {Journal of Symbolic Logic},
   volume = {73},
   number = {2},
   year = {2008},
   pages = {543--558},
   doi = {10.2178/jsl/1208359059},
}

@article{Ter12,
   author = {Terwijn, Sebastiaan A.},
   title = {The finite intervals of the {M}uchnik lattice},
   journal = {Trans. Amer. Math. Soc.},
   volume = {364},
   number = {5},
   year = {2012},
   pages = {2521--2538},
   doi = {10.1090/S0002-9947-2011-05384-5},
}

@phdthesis{Ter98,
   author = {Terwijn, Sebastiaan Augustinus},
   title = {Computability and Measure},
   school = {Institute for Logic, Language and Computation},
   address = {University Amsterdam},
   year = {1998},
}

@phdthesis{The84,
   author = {Theobald, Konrad R.},
   title = {Eine allgemeine Theorie der Stetigkeit und Berechenbarkeit f\"{u}r nat\"{u}rliche Halbordnungen},
   school = {Fachbereich Mathematik und Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1984},
}

@phdthesis{Thi18,
   author = {Thies, Holger},
   title = {Uniform computational complexity of ordinary differential equations with applications to dynamical systems and exact real arithmetic},
   school = {Graduate School of Arts and Sciences, University of Tokyo},
   address = {Tokyo, Japan},
   year = {2018},
}

@article{Tho23,
   author = {Thompson, Declan},
   title = {Execution trace sets for real computation},
   journal = {Theoretical Computer Science},
   volume = {940},
   year = {2023},
   pages = {2--17},
   doi = {10.1016/j.tcs.2022.06.038},
}

@inproceedings{TMYT09,
   author = {Tsujii, Yoshiki and Mori, Takakazu and Yasugi, Mariko and Tsuiki, Hideki},
   title = {Fine-continuous functions and fractals defined by infinite systems of contractions},
   booktitle = {Infinity in logic and computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {5489},
   publisher = {Springer},
   address = {Berlin},
   year = {2009},
   pages = {109--125},
   doi = {10.1007/978-3-642-03092-5_9},
}

@book{Tod63,
   author = {Todd, J.},
   title = {Introduction to the Constructive Theory of Functions},
   publisher = {Academic Press},
   address = {New York},
   year = {1963},
}

@inproceedings{Tof04,
   author = {Toftdal, Michael},
   title = {A calibration of ineffective theorems of analysis in a hierarchy of semi-classical logical principles (extended abstract)},
   booktitle = {Automata, languages and programming},
   series = {Lecture Notes in Computer Science},
   volume = {3142},
   publisher = {Springer},
   address = {Berlin},
   year = {2004},
   pages = {1188--1200},
   doi = {10.1007/978-3-540-27836-8_98},
}

@incollection{Tow20,
   author = {Towsner, Henry},
   title = {Algorithmic randomness in ergodic theory},
   editor = {Franklin, Johanna N.Y. and Porter, Christopher P.},
   booktitle = {Algorithmic Randomness: Progress and Prospects},
   series = {Lecture Notes in Logic},
   volume = {50},
   publisher = {Cambridge University Press},
   year = {2020},
   pages = {40--57},
   doi = {10.1017/9781108781718.003},
}

@article{Tro67,
   author = {Troelstra, A.S.},
   title = {Intuitionistic continuity},
   journal = {Nieuw Arch. Wisk.},
   volume = {15},
   year = {1967},
   pages = {2--6},
}

@book{Tro73,
   title = {Metamathematical {I}nvestigation of {I}ntuitionistic {A}rithmetic and {A}nalysis},
   editor = {Troelstra, A.S.},
   series = {Lecture Notes in Mathematics},
   volume = {344},
   publisher = {Springer},
   address = {Berlin},
   year = {1973},
}

@inproceedings{Tro73a,
   author = {Troelstra, A.S.},
   title = {Models and computability},
   editor = {Troelstra, A.S.},
   booktitle = {Metamathematical Investigation of Intuitionistic Arithmetic and Analysis},
   series = {Lecture Notes in Mathematics},
   volume = {344},
   year = {1973},
   pages = {97--174},
}

@article{Tro77,
   author = {Troelstra, A.S.},
   title = {A note on non-extensional operations in connection with continuity and recursivness},
   journal = {Nederl. Akad. Wetensch. Proc. Ser. A},
   volume = {39},
   year = {1977},
   pages = {455--462},
}

@article{Tro80,
   author = {Troelstra, A.S.},
   title = {Intuitionistic extensions of the reals},
   journal = {Nieuw Arch. Wisk.},
   volume = {28},
   year = {1980},
   pages = {63--113},
}

@inproceedings{Tro80a,
   author = {Troelstra, A.S.},
   title = {Intuitionistic extensions of the reals, {II}},
   booktitle = {Logic Colloq. '80},
   series = {Studies in Logic and the Foundations of Mathematics},
   volume = {108},
   publisher = {North-Holland},
   address = {Amsterdam},
   year = {1980},
   note = {Prague, 1980},
}

@inproceedings{Tro92,
   author = {Troelstra, A.S.},
   title = {Comparing the theory of representations and constructive mathematics},
   editor = {B\"orger, E. and J\"ager, G. and Kleine B\"uning, H. and Richter, M.M.},
   booktitle = {Computer Science Logic},
   series = {Lecture Notes in Computer Science},
   volume = {626},
   publisher = {Springer},
   address = {Berlin},
   year = {1992},
   pages = {382--395},
   note = {Proceedings of the 5th Workshop, CSL'91, Berne Switzerland, October 1991},
}

@inproceedings{Tro93,
   author = {Troelstra, A.S.},
   title = {An intuitionistic look at the real numbers ({Dutch})},
   booktitle = {Summer course 1993: the real numbers, {CWI} {S}yllabi},
   volume = {35},
   year = {1993},
   pages = {67--81},
   note = {Math. Centrum, 1993},
}

@inproceedings{Tsu01,
   author = {Tsuiki, Hideki},
   title = {Computational Dimension of Topological Spaces},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {323--335},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@article{Tsu02,
   author = {Tsuiki, Hideki},
   title = {Real number computation through {G}ray code embedding},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {467--485},
}

@inproceedings{Tsu02a,
   author = {Tsuiki, Hideki},
   title = {Representations of Complete Uniform Spaces via Uniform Domains},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{Tsu04,
   author = {Tsuiki, Hideki},
   title = {Dyadic subbases and efficiency properties of the induced $\{0, 1, \bot\}^\omega$--representations},
   journal = {Topology Proceedings},
   volume = {28},
   number = {2},
   year = {2004},
   pages = {673--687},
}

@article{Tsu04a,
   author = {Tsuiki, Hideki},
   title = {Compact metric spaces as minimal-limit sets in domains of bottomed sequences},
   journal = {Mathematical Structures in Computer Science},
   volume = {14},
   year = {2004},
   pages = {853--878},
}

@article{Tsu05,
   author = {Tsuiki, Hideki},
   title = {Real number computation with committed choice logic programming languages},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {64},
   year = {2005},
   pages = {61--84},
}

@inproceedings{Tsu98,
   author = {Tsuiki, Hideki},
   title = {Grey Code Representation of Exact Real Numbers},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {91--102},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@inproceedings{TT13,
   author = {Terayama, Kei and Tsuiki, Hideki},
   title = {A stream calculus of bottomed sequences for real number computation},
   booktitle = {Proceedings of the {T}wenty-{N}inth {C}onference on the {M}athematical {F}oundations of {P}rogramming {S}emantics, {MFPS} {XXIX}},
   series = {Electron. Notes Theor. Comput. Sci.},
   volume = {298},
   publisher = {Elsevier Sci. B. V.},
   address = {Amsterdam},
   year = {2013},
   pages = {383--402},
   doi = {10.1016/j.entcs.2013.09.023},
}

@article{TT15,
   author = {Tsuiki, Hideki and Tsukamoto, Yasuyuki},
   title = {Domain representations induced by dyadic subbases},
   journal = {Logical Methods in Computer Science},
   volume = {11},
   number = {1},
   year = {2015},
   pages = {1:17, 19},
   doi = {10.2168/LMCS-11(1:17)2015},
}

@article{TT17,
   author = {Tsukamoto, Yasuyuki and Tsuiki, Hideki},
   title = {Properties of domain representations of spaces through dyadic subbases},
   journal = {Mathematical Structures in Computer Science},
   volume = {27},
   number = {8},
   publisher = {Cambridge University Press},
   year = {2017},
   pages = {1625--1638},
   doi = {10.1017/S0960129516000207},
}

@article{TTZ09,
   author = {Thompson, B. C. and Tucker, J. V. and Zucker, J. I.},
   title = {Unifying computers and dynamical systems using the theory of synchronous concurrent algorithms},
   journal = {Appl. Math. Comput.},
   volume = {215},
   number = {4},
   year = {2009},
   pages = {1386--1403},
   doi = {10.1016/j.amc.2009.04.058},
}

@inproceedings{Tur21,
   author = {Turner, D. A.},
   title = {Constructive Mathematics, {C}hurch's Thesis, and Free Choice Sequences},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {446--456},
   doi = {10.1007/978-3-030-80049-9_44},
}

@article{Tur37,
   author = {Turing, Alan M.},
   title = {On computable numbers, with an application to the {E}ntscheidungsproblem},
   journal = {Proceedings of the London Mathematical Society},
   volume = {42},
   number = {2},
   year = {1937},
   pages = {230--265},
}

@article{Tur38,
   author = {Turing, Alan M.},
   title = {On computable numbers, with an application to the {E}ntscheidungsproblem. {A} correction.},
   journal = {Proceedings of the London Mathematical Society},
   volume = {43},
   number = {2},
   year = {1938},
   pages = {544--546},
}

@article{Tur39,
   author = {Turing, Alan M.},
   title = {Systems of Logic Based on Ordinals},
   journal = {Proceedings of the London Mathematical Society},
   volume = {s2-45},
   number = {1},
   year = {1939},
   pages = {161--228},
   doi = {10.1112/plms/s2-45.1.161},
}

@article{TW11,
   author = {Tavana, Nazanin R.\ and Weihrauch, Klaus},
   title = {Turing machines on represented sets, a model of computation for analysis},
   journal = {Logical Methods in Computer Science},
   volume = {7},
   number = {2},
   year = {2011},
   pages = {2:19, 21},
   doi = {10.2168/LMCS-7(2:19)2011},
}

@inproceedings{TY08,
   author = {Tsuiki, Hideki and Yamada, Shuji},
   title = {On Finite-time Computability Preserving Conversions},
   editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch, Angela},
   booktitle = {{CCA} 2008, Fifth International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {221},
   publisher = {Elsevier},
   year = {2008},
   pages = {299--308},
   note = {{CCA} 2008, Fifth International Conference, Hagen, Germany, August 21--24, 2008},
}

@inproceedings{TYM01,
   author = {Tsujii, Yoshiki and Yasugi, Mariko and Mori, Takakazu},
   title = {Some Properties of the Effective Uniform Topological Space},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {336--356},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{TYM05,
   author = {Tsujii, Yoshiki and Yasugi, Mariko and Mori, Takakazu},
   title = {Sequential Computability of a Function: Diagonal Space and Limiting Recursion},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {187--199},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@inproceedings{TZ00,
   author = {Tucker, J.V. and Zucker, J.I.},
   title = {Computable Functions and Semicomputable Sets on Many-Sorted Algebras},
   editor = {Abramsky, S. and Gabbay, D.M. and Maibaum, T.S.E.},
   booktitle = {Handbook of Logic in Computer Science, Volume 5},
   publisher = {Oxford University Press},
   address = {Oxford},
   year = {2000},
   pages = {317--523},
}

@article{TZ02,
   author = {Tucker, J.V. and Zucker, J.I.},
   title = {Abstract computability and algebraic specification},
   journal = {ACM Transactions on Computational Logic},
   volume = {3},
   number = {2},
   year = {2002},
   pages = {279--333},
}

@article{TZ04,
   author = {Tucker, J.V. and Zucker, J.I.},
   title = {Abstract versus concrete computation on metric partial algebras},
   journal = {ACM Transactions on Computational Logic},
   volume = {5},
   number = {4},
   year = {2004},
   pages = {611--668},
}

@article{TZ05,
   author = {Tucker, J.V. and Zucker, J.I.},
   title = {Computable total functions on metric algebras, universal algebraic specifications and dynamical systems},
   journal = {The Journal of Logic and Algebraic Programming},
   volume = {62},
   year = {2005},
   pages = {71--108},
}

@inproceedings{TZ05a,
   author = {Tucker, John V. and Zucker, Jeffery I.},
   title = {A Network Model of Analogoue Computation over Metric Algebras},
   editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {515--529},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@article{TZ07,
   author = {Tucker, John V. and Zucker, Jeffery I.},
   title = {Computability of analog networks},
   journal = {Theoretical Computer Science},
   volume = {371},
   number = {1--2},
   year = {2007},
   pages = {115--146},
}

@article{TZ10,
   author = {Tent, Katrin and Ziegler, Martin},
   title = {Computable functions of reals},
   journal = {M\"unster J. Math.},
   volume = {3},
   year = {2010},
   pages = {43--65},
}

@article{TZ11,
   author = {Tucker, J. V. and Zucker, J. I.},
   title = {Continuity of operators on continuous and discrete time streams},
   journal = {Theoret. Comput. Sci.},
   volume = {412},
   number = {28},
   year = {2011},
   pages = {3378--3403},
   doi = {10.1016/j.tcs.2011.04.012},
}

@article{TZ14,
   author = {Tucker, J. V. and Zucker, J. I.},
   title = {Computability of operators on continuous and discrete time streams},
   journal = {Computability},
   volume = {3},
   number = {1},
   year = {2014},
   pages = {9--44},
}

@incollection{TZ15,
   author = {Tucker, J. V. and Zucker, J. I.},
   title = {Generalizing computability theory to abstract algebras},
   editor = {Sommaruga, Giovanni and Strahm, Thomas},
   booktitle = {Turing's Revolution},
   publisher = {Birkh\"{a}user/Springer},
   address = {Cham},
   year = {2015},
   pages = {127--160},
}

@inproceedings{TZ92,
   author = {Tucker, J.V. and Zucker, J.I.},
   title = {Examples of semicomputable sets of real and complex numbers},
   editor = {Myers, J.P. and O'Donnell, M.J.},
   booktitle = {Constructivity in computer science},
   publisher = {Springer},
   address = {Berlin},
   year = {1992},
   pages = {179--198},
   note = {Summer Symposium San Antonio, TX, June 19--22, 1991},
}

@article{TZ99,
   author = {Tucker, J.V. and Zucker, J.I.},
   title = {Computation by `{W}hile' Programs on Topological Partial Algebras},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {379--420},
}

@article{Uft21,
   author = {Uftring, Patrick},
   title = {The characterization of {W}eihrauch reducibility in systems containing {E-PA$^{\omega}$} + {QF-AC$^{0,0}$}},
   journal = {The Journal of Symbolic Logic},
   volume = {86},
   number = {1},
   year = {2021},
   pages = {224--261},
   doi = {10.1017/jsl.2020.53},
}

@book{Usp60,
   author = {Uspensky, V.A.},
   title = {Lectures on Computable Functions ({R}ussian)},
   series = {Mathematical Logic and the Foundations of Mathematics},
   publisher = {Fiz-MatGiz},
   address = {Moscow},
   year = {1960},
}

@article{Usp60a,
   author = {Uspensky, V.A.},
   title = {On the relation between various systems of constructive real numbers ({R}ussian)},
   journal = {Izv.\ Vy{\v{s}}.\ U{\v{c}}ebn.\ Zaved\. Matematika},
   number = {2(15)},
   year = {1960},
   pages = {199--208},
}

@phdthesis{Val21,
   author = {Valenti, Manlio},
   title = {A journey through computability, topology and analysis},
   school = {Universit{\'a} degli Studi di Udine},
   year = {2021},
}

@article{VB03,
   author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a S. and Bridges, Douglas S.},
   title = {A constructive theory of point-set nearness},
   journal = {Theoretical Computer Science},
   volume = {305},
   year = {2003},
   pages = {473--489},
}

@article{VB04,
   author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a and Bridges, Douglas S.},
   title = {More on {C}auchy nets in apartness spaces},
   journal = {Scientiae Mathematicae Japonicae},
   volume = {59},
   number = {3},
   year = {2004},
   pages = {547--552},
}

@article{vDal11,
   author = {van Dalen, Dirk},
   title = {Brouwer's {$\epsilon$}-fixed point and {S}perner's lemma},
   journal = {Theoret. Comput. Sci.},
   volume = {412},
   number = {28},
   year = {2011},
   pages = {3140--3144},
   doi = {10.1016/j.tcs.2011.04.002},
}

@article{Vel04,
   author = {Velupillai, K. Vela},
   title = {Constructivity, computability and computers in economic theory: some cautionary notes},
   journal = {Metroeconomica},
   volume = {55},
   number = {2-3},
   year = {2004},
   pages = {121--140},
   doi = {10.1111/j.0026-1386.2004.00186.x},
}

@article{Vel04a,
   author = {Velupillai, K. Vela},
   title = {Economic dynamics and computation---resurrecting the {I}carus tradition},
   journal = {Metroeconomica},
   volume = {55},
   number = {2-3},
   year = {2004},
   pages = {239--264},
   doi = {10.1111/j.0026-1386.2004.00192.x},
}

@article{Vel06,
   author = {Velupillai, K. Vela},
   title = {Algorithmic foundations of {\it computable} general equilibrium theory},
   journal = {Applied Mathematics and Computation},
   volume = {179},
   number = {1},
   year = {2006},
   pages = {360--369},
   doi = {10.1016/j.amc.2005.11.113},
}

@article{Vel09,
   author = {Velupillai, K. Vela},
   title = {Uncomputability and undecidability in economic theory},
   journal = {Appl. Math. Comput.},
   volume = {215},
   number = {4},
   year = {2009},
   pages = {1404--1416},
   doi = {10.1016/j.amc.2009.04.051},
}

@incollection{Vel09a,
   author = {Veldman, Wim},
   title = {Brouwer's approximate fixed-point theorem is equivalent to {B}rouwer's fan theorem},
   booktitle = {Logicism, intuitionism, and formalism},
   series = {Synth. Libr.},
   volume = {341},
   publisher = {Springer, Dordrecht},
   year = {2009},
   pages = {277--299},
   doi = {10.1007/978-1-4020-8926-8_14},
}

@article{Vel12,
   author = {Velupillai, K. Vela},
   title = {Taming the incomputable, reconstructing the nonconstructive and deciding the undecidable in mathematical economics},
   journal = {New Math. Nat. Comput.},
   volume = {8},
   number = {1},
   year = {2012},
   pages = {5--51},
   doi = {10.1142/S1793005712400017},
}

@article{Vel12a,
   author = {Velupillai, K. Vela},
   title = {Reflections on mathematical economics in the algorithmic mode},
   journal = {New Math. Nat. Comput.},
   volume = {8},
   number = {1},
   year = {2012},
   pages = {139--152},
   doi = {10.1142/S1793005712400091},
}

@article{Vel14,
   author = {Velupillai, K. Vela},
   title = {{\it {C}onstructive} and {\it computable} {H}ahn-{B}anach theorems for the (second) fundamental theorem of welfare economics},
   journal = {Journal of Mathematical Economics},
   volume = {54},
   year = {2014},
   pages = {36--39},
   doi = {10.1016/j.jmateco.2014.08.004},
}

@article{Vel14a,
   author = {Veldman, Wim},
   title = {{B}rouwer's Fan Theorem as an axiom and as a contrast to {K}leene's alternative},
   journal = {Archive for Mathematical Logic},
   volume = {53},
   number = {5},
   year = {2014},
   pages = {621--693},
   doi = {10.1007/s00153-014-0384-9},
}

@phdthesis{Vel81,
   author = {Veldman, W.},
   title = {Investigations in {I}ntuitionistic {H}ierarchy {T}heory},
   school = {Katholieke Universiteit, Nijmegen},
   address = {Nijmegen, The Netherlands},
   year = {1981},
}

@incollection{Vel90,
   author = {Veldman, Wim},
   title = {A Survey of Intuitionistic Descriptive Set Theory},
   editor = {Petkov, Petio Petrov},
   booktitle = {Mathematical Logic},
   publisher = {Springer},
   address = {Boston, MA},
   year = {1990},
   pages = {155--174},
   doi = {10.1007/978-1-4613-0609-2_12},
}

@article{Vel97,
   author = {Velupillai, K.},
   title = {Expository notes on computability and complexity in (arithmetical) games},
   journal = {Journal of Economic Dynamics and Control},
   volume = {21},
   number = {6},
   year = {1997},
   pages = {955--979},
   note = {Society of Computational Economics Conference (Austin, TX, 1995)},
   doi = {10.1016/S0165-1889(97)00012-2},
}

@article{Ves72,
   author = {Vesley, R.E.},
   title = {Choice sequences and {M}arkov's principle},
   journal = {Compositio Mathematica},
   volume = {24},
   year = {1972},
   pages = {33--53},
}

@article{Vid19,
   author = {Vidick, Thomas},
   title = {From operator algebras to complexity theory and back},
   journal = {Notices of the American Mathematical Society},
   volume = {66},
   number = {10},
   year = {2019},
   pages = {1618--1627},
}

@phdthesis{Vit00,
   author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
   title = {A Constructive Development of Operator Algebra Theory},
   school = {Department of Mathematics \& Statistics, University of Canterbury},
   address = {Christchurch},
   year = {2000},
}

@article{Vit05,
   author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
   title = {On Complements of Sets and the {E}fremovi{\v{c}} Condition in Pre-apartness Spaces},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {2159--2164},
}

@phdthesis{vLam87,
   author = {van Lambalgen, Michiel},
   title = {Random sequences},
   school = {Department of Mathematics, University of Amsterdam},
   year = {1987},
   note = {{Ph.D.} thesis},
}

@incollection{VN74,
   author = {Va{\u\i}nberg, Ju. R. and Nogina, Elena Ju.},
   title = {Categories of effectively topological spaces},
   booktitle = {Studies in formalized languages and nonclassical logics ({R}ussian)},
   publisher = {Izdat. ``Nauka'', Moscow},
   year = {1974},
   pages = {253--273},
}

@incollection{VN76,
   author = {Va{\u\i}nberg, Ju. R. and Nogina, Elena Ju.},
   title = {Two types of continuity of computable mappings of numerated topological spaces},
   booktitle = {Studies in the theory of algorithms and mathematical logic, Vol. 2 ({R}ussian)},
   publisher = {Vy{\v{c}}isl. Centr Akad. Nauk SSSR, Moscow},
   year = {1976},
   pages = {84--99, 159},
}

@article{Vy01,
   author = {{V'yugin}, Vladimir V.},
   title = {Non-robustness property of the individual ergodic theorem},
   journal = {Problems of Information Transmission},
   volume = {37},
   number = {2},
   year = {2001},
   pages = {27--39},
}

@article{Vy97,
   author = {{V'yugin}, Vladimir V.},
   title = {Effective Convergence in Probability and an Ergodic Theorem for Individual Random Sequences},
   journal = {SIAM Theory of Probability and Its Applications},
   volume = {42},
   number = {1},
   year = {1997},
   pages = {39--50},
}

@article{Vy98,
   author = {{V'yugin}, Vladimir V.},
   title = {Ergodic Theorems for Individual Random Sequences},
   journal = {Theoretical Computer Science},
   volume = {207},
   number = {4},
   year = {1998},
   pages = {343--361},
}

@article{Waa05,
   author = {Waaldijk, Frank},
   title = {On the foundations of constructive mathematics - especially in relation to the theory of continuous functions},
   journal = {Foundations of Science},
   volume = {10},
   number = {3},
   year = {2005},
   pages = {249--324},
}

@phdthesis{Waa96,
   author = {Waaldijk, Frank},
   title = {Modern Intuitionistic Topology},
   school = {Radboud University Nijmegen},
   year = {1996},
}

@article{Wag76,
   author = {Wagner, Klaus},
   title = {Arithmetische {O}peratoren},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {22},
   year = {1976},
   pages = {553--570},
}

@article{Wag77,
   author = {Wagner, Klaus},
   title = {Arithmetische und {B}airesche {O}peratoren},
   journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der Mathematik},
   volume = {23},
   year = {1977},
   pages = {181--191},
}

@article{Wan74,
   author = {Wang, Paul S.},
   title = {The undecidability of the existence of zeros of real elementary functions},
   journal = {Journal of the Association for Computing Machinery},
   volume = {21},
   year = {1974},
   pages = {586--589},
}

@inproceedings{Wan82,
   author = {Wang, Hao},
   title = {Specker's mathematical work from 1949 to 1979},
   booktitle = {Logic and Algorithmic ({Z}\"urich, 1980)},
   journal = {Monograph. Enseign. Math.},
   volume = {30},
   publisher = {Univ. Geneva},
   year = {1982},
   pages = {11--24},
}

@phdthesis{Wan97,
   author = {Wang, Michael Yuchuan},
   title = {Constructive Analysis of Partial Differential Equations},
   school = {Department of Mathematics, University of Waikato},
   address = {Hamilton, New Zealand},
   year = {1997},
}

@article{Was95,
   author = {Washihara, Masako},
   title = {Computability and {F}r\'{e}chet spaces},
   journal = {Mathematica Japonica},
   volume = {42},
   number = {1},
   year = {1995},
   pages = {1--13},
}

@article{Was99,
   author = {Washihara, Masako},
   title = {Computability and tempered distributions},
   journal = {Mathematica Japonica},
   volume = {50},
   number = {1},
   year = {1999},
   pages = {1--7},
}

@article{WD05,
   author = {Wu, Yongcheng and Ding, Decheng},
   title = {Computability of measurable sets via effective metrics},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {6},
   year = {2005},
   pages = {543--559},
}

@article{WD06,
   author = {Wu, Yongcheng and Ding, Decheng},
   title = {Computability of measurable sets via effective topologies},
   journal = {Archive for Mathematical Logic},
   volume = {45},
   number = {3},
   year = {2006},
   pages = {365--379},
}

@book{Wei00,
   author = {Weihrauch, Klaus},
   title = {Computable Analysis},
   publisher = {Springer},
   address = {Berlin},
   year = {2000},
}

@inproceedings{Wei01,
   author = {Weihrauch, Klaus},
   title = {On Computable Metric Spaces {T}ietze-{U}rysohn Extension is Computable},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {357--368},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{Wei02a,
   author = {Weihrauch, Klaus},
   title = {Computable Analysis},
   editor = {B.D. Masurov et al.},
   booktitle = {Proceedings of the international conference ``Logic and Applications'' honouring {Y}u.\ {L}.\ {E}rshov on his 60th birthday},
   publisher = {University of Novosibirsk},
   address = {Novosibirsk},
   year = {2002},
   pages = {165--178},
}

@article{Wei03,
   author = {Weihrauch, Klaus},
   title = {Computational complexity on computable metric spaces},
   journal = {Mathematical Logic Quarterly},
   volume = {49},
   number = {1},
   year = {2003},
   pages = {3--21},
}

@inproceedings{Wei03a,
   author = {Weihrauch, Klaus},
   title = {Continuity in computable analysis (Abstract)},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {99--100},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@book{Wei04,
   author = {Weinberger, Shmuel},
   title = {Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of {R}iemannian Moduli Space},
   publisher = {Princeton University Press},
   address = {New Jersey},
   year = {2004},
}

@inproceedings{Wei05,
   author = {Weihrauch, Klaus},
   title = {Multi-functions on multi-represented sets are closed under flowchart programming},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {267--300},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@article{Wei08,
   author = {Weihrauch, Klaus},
   title = {The Computable Multi-Functions on Multi-represented Sets are Closed under Programming},
   journal = {Journal of Universal Computer Science},
   volume = {14},
   number = {6},
   year = {2008},
   pages = {801--844},
}

@article{Wei10,
   author = {Weihrauch, Klaus},
   title = {Computable separation in topology, from {$T_0$} to {$T_2$}},
   journal = {Journal of Universal Computer Science},
   volume = {16},
   number = {18},
   year = {2010},
   pages = {2733--2753},
}

@article{Wei13,
   author = {Weihrauch, Klaus},
   title = {Computably regular topological spaces},
   journal = {Logical Methods in Computer Science},
   volume = {9},
   year = {2013},
   pages = {3:5, 24},
   doi = {10.2168/LMCS-9(3:5)2013},
}

@article{Wei17,
   author = {Weihrauch, Klaus},
   title = {Computability on measurable functions},
   journal = {Computability},
   volume = {6},
   number = {1},
   year = {2017},
   pages = {79--104},
   doi = {10.3233/COM-160058},
}

@article{Wei19,
   author = {Weihrauch, Klaus},
   title = {Computable planar curves intersect in a computable point},
   journal = {Computability},
   volume = {8},
   number = {3, 4},
   year = {2019},
   pages = {399--415},
   doi = {10.3233/COM-180102},
}

@article{Wei22,
   author = {Weihrauch, Klaus},
   title = {Intersection points of planar curves can be computed},
   journal = {Computability},
   volume = {11},
   number = {2},
   year = {2022},
   pages = {113--133},
   doi = {10.3233/com-210311},
}

@inproceedings{Wei77b,
   author = {Weihrauch, Klaus},
   title = {A generalized computability thesis},
   editor = {Karpinski, Marek},
   booktitle = {Fundamentals of Computation Theory},
   series = {Lecture Notes in Computer Science},
   volume = {56},
   publisher = {Springer},
   year = {1977},
   pages = {538--542},
   note = {Proceedings of the 1977 International FCT-Conference, Poznan-Kornik, Poland, September 19--23, 1977},
}

@inproceedings{Wei81,
   author = {Weihrauch, Klaus},
   title = {Recursion and complexity theory on cpo-s},
   editor = {Deussen, Peter},
   booktitle = {Theoretical Computer Science},
   series = {Lecture Notes in Computer Science},
   volume = {104},
   publisher = {Springer},
   year = {1981},
   note = {5th GI-Conference, Karlsruhe, March 23--25, 1981},
}

@article{Wei85,
   author = {Weihrauch, Klaus},
   title = {Type 2 recursion theory},
   journal = {Theoretical Computer Science},
   volume = {38},
   year = {1985},
   pages = {17--33},
}

@book{Wei87,
   author = {Weihrauch, Klaus},
   title = {Computability},
   series = {EATCS Monographs on Theoretical Computer Science},
   volume = {9},
   publisher = {Springer},
   address = {Berlin},
   year = {1987},
}

@article{Wei91,
   author = {Weihrauch, Klaus},
   title = {On the complexity of online computations of real functions},
   journal = {Journal of Complexity},
   volume = {7},
   year = {1991},
   pages = {380--394},
   doi = {10.1016/0885-064X(91)90026-T},
}

@article{Wei93,
   author = {Weihrauch, Klaus},
   title = {Computability on computable metric spaces},
   journal = {Theoretical Computer Science},
   volume = {113},
   year = {1993},
   pages = {191--210},
}

@inproceedings{Wei97,
   author = {Weihrauch, Klaus},
   title = {A Foundation for Computable Analysis},
   editor = {Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and Reeves, Steve and Witten, Ian H.},
   booktitle = {Combinatorics, Complexity, and Logic},
   series = {Discrete Mathematics and Theoretical Computer Science},
   publisher = {Springer},
   address = {Singapore},
   year = {1997},
   pages = {66--89},
   note = {Proceedings of DMTCS'96},
}

@article{Wei98,
   author = {Weihrauch, Klaus},
   title = {A Refined Model of Computation for Continuous Problems},
   journal = {Journal of Complexity},
   volume = {14},
   year = {1998},
   pages = {102--121},
}

@article{Wei99a,
   author = {Weihrauch, Klaus},
   title = {Computability on the probability measures on the {B}orel sets of the unit interval},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {421--437},
}

@article{Wel08,
   author = {Welch, P.D.},
   title = {The extent of computation in {M}alament-{H}ogarth spacetimes},
   journal = {British Journal for the Philosophy of Science},
   volume = {59},
   number = {4},
   year = {2008},
   pages = {659--674},
}

@article{Wel21,
   author = {Welch, Philip},
   title = {Characterisations of variant transfinite computational models: infinite time {T}uring, ordinal time {T}uring, and {B}lum-{S}hub-{S}male machines},
   journal = {Computability},
   volume = {10},
   number = {2},
   year = {2021},
   pages = {159--180},
   doi = {10.3233/com-200301},
}

@article{Wes14,
   author = {Westrick, Linda Brown},
   title = {A lightface analysis of the differentiability rank},
   journal = {Journal of Symbolic Logic},
   volume = {79},
   number = {1},
   year = {2014},
   pages = {240--265},
   doi = {10.1017/jsl.2013.23},
}

@phdthesis{Wes14a,
   author = {Westrick, Linda Brown},
   title = {Computability in {O}rdinal {R}anks and {S}ymbolic {D}ynamics},
   school = {University of California, Berkeley},
   year = {2014},
   pages = {106},
}

@article{Wes21,
   author = {Westrick, Linda},
   title = {A note on the diamond operator},
   journal = {Computability},
   volume = {10},
   number = {2},
   year = {2021},
   pages = {107--110},
   doi = {10.3233/COM-200295},
}

@book{Wey18,
   author = {Weyl, H.},
   title = {Das {K}ontinuum},
   publisher = {Veit},
   address = {Leipzig},
   year = {1978},
}

@article{WG09,
   author = {Weihrauch, Klaus and Grubba, Tanja},
   title = {Elementary computable topology},
   journal = {Journal of Universal Computer Science},
   volume = {15},
   number = {6},
   year = {2009},
   pages = {1381--1422},
}

@phdthesis{Why18,
   author = {Whyman, Richard Arthur James},
   title = {Characterising Computational Devices with Logical Systems},
   school = {School of Mathematics, University of Leeds},
   year = {2018},
}

@incollection{Why18b,
   author = {Whyman, Richard},
   title = {Physical computation and first-order logic},
   editor = {Durand-Lose, J\'{e}r\^{o}me and Verlan, Sergey},
   booktitle = {Machines, Computations, and Universality},
   series = {Lecture Notes in Computer Science},
   volume = {10881},
   publisher = {Springer},
   year = {2018},
   pages = {153--169},
   note = {8th International Conference, MCU 2018, Fontainebleau, France, June 28--30, 2018, Held at the University of Paris-Est Cr\'{e}teil},
   doi = {10.1007/978-3-319-92402-1_9},
}

@article{Wie80,
   author = {Wiedmer, E.},
   title = {Computing with infinite objects},
   journal = {Theoretical Computer Science},
   volume = {10},
   year = {1980},
   pages = {133--155},
}

@article{WK22,
   author = {Wiesnet, Franziskus and K{\"o}pp, Nils},
   title = {Limits of real numbers in the binary signed digit representation},
   journal = {Logical Methods in Computer Science},
   volume = {18},
   number = {3},
   year = {2022},
   month = Aug,
   pages = {24:1--24:28},
   doi = {10.46298/lmcs-18(3:24)2022},
}

@article{WK87,
   author = {Weihrauch, Klaus and Kreitz, Christoph},
   title = {Representations of the real numbers and of the open subsets of the set of real numbers},
   journal = {Annals of Pure and Applied Logic},
   volume = {35},
   year = {1987},
   pages = {247--260},
}

@article{WK91,
   author = {Weihrauch, Klaus and Kreitz, Christoph},
   title = {Type 2 computational complexity of functions on {C}antor's space},
   journal = {Theoretical Computer Science},
   volume = {82},
   year = {1991},
   pages = {1--18},
}

@inproceedings{WL02,
   author = {Wiedermann, Ji{\v{r}}{\'{\i}} and {van Leeuwen}, Jan},
   title = {Relativistic Computers and Non-uniform Complexity Theory},
   editor = {Calude, Cristian S. and Dinneen, Michael J. and Peper, Ferdinand},
   booktitle = {Unconventional models of computation},
   series = {Lecture Notes in Computer Science},
   volume = {2509},
   publisher = {Springer},
   address = {Berlin},
   year = {2002},
   pages = {287--299},
   note = {Proceedings of the 3rd International Conference (UMC 2002) held in Kobe, Japan, October 15--19, 2002},
}

@article{Won96,
   author = {Wong, Kam-Chau},
   title = {Computability of Minimizers and Separating Hyperplanes},
   journal = {Mathematical Logic Quarterly},
   volume = {42},
   year = {1996},
   pages = {564--568},
}

@article{Woz99,
   author = {Wo{\'{z}}niakowski, Henryk},
   title = {Why does information-based complexity use the real number model?},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {451--465},
}

@inproceedings{WS79,
   author = {Weihrauch, Klaus and Schreiber, Ulrich},
   title = {Metric spaces defined by weighted algebraic cpo-s},
   editor = {Budach, Lothar},
   booktitle = {Fundamentals of Computation Theory, FCT'79},
   publisher = {Akademie-Verlag},
   address = {Berlin},
   year = {1979},
   pages = {516--522},
   note = {Proceedings of the Conference on Algebraic, Arithmetic, and Categorial Methods in Computation Theory, Berlin, September 17--21, 1979},
}

@article{WS81,
   author = {Weihrauch, Klaus and Schreiber, Ulrich},
   title = {Embedding metric spaces into cpo's},
   journal = {Theoretical Computer Science},
   volume = {16},
   year = {1981},
   pages = {5--24},
}

@inproceedings{WS81a,
   author = {Weihrauch, Klaus and Sch\"afer, Giesela},
   title = {Admissible representations of effective cpo's},
   editor = {Gruska, J. and Chytil, M.},
   booktitle = {Mathematical Foundations of Computer Science 1981},
   series = {Lecture Notes in Computer Science},
   volume = {118},
   publisher = {Springer},
   year = {1981},
   note = {Proceedings, 10th Sympsoium \v{S}trbsk\'{e} Pleso, Czechoslovakia, August 31--September 4, 1981},
}

@article{WS83,
   author = {Weihrauch, Klaus and Sch{\"a}fer, G.},
   title = {Admissible representations of effective cpo's},
   journal = {Theoretical Computer Science},
   volume = {26},
   year = {1983},
   pages = {131--147},
}

@article{WT14,
   author = {Weihrauch,Klaus and Tavana-Roshandel, Nazanin},
   title = {Representations of measurable sets in computable measure theory},
   journal = {Logical Methods in Computer Science},
   volume = {10},
   year = {2014},
   pages = {3:7,21},
   doi = {10.2168/LMCS-10(3:7)2014},
}

@article{Wu05a,
   author = {Wu, Guohua},
   title = {Regular reals},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {2},
   year = {2005},
   pages = {111--119},
}

@article{Wu12,
   author = {Wu, Yongcheng},
   title = {Computability on random events and variables in a computable probability space},
   journal = {Theoret. Comput. Sci.},
   volume = {460},
   year = {2012},
   pages = {54--69},
   doi = {10.1016/j.tcs.2012.06.027},
}

@inproceedings{WW05,
   author = {Yongcheng Wu and Klaus Weihrauch},
   title = {A Computable Version of the {D}aniell-{S}tone Theorem on Integration and Linear Functionals},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {217--230},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{WW06,
   author = {Wu, Yongcheng and Weihrauch, Klaus},
   title = {A computable version of the {D}aniell-{S}tone theorem on integration and linear functionals},
   journal = {Theoretical Computer Science},
   volume = {359},
   number = {1--3},
   year = {2006},
   pages = {28--42},
}

@article{WWD09,
   author = {Weihrauch, Klaus and Wu, Yongcheng and Ding, Decheng},
   title = {Absolutely non-computable predicates and functions in analysis},
   journal = {Mathematical Structures in Computer Science},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {59--71},
   doi = {10.1017/S096012950800724X},
}

@article{WY96,
   author = {Washihara, Masako and Yasugi, Mariko},
   title = {Computability and metrics in a {F}r\'{e}chet space},
   journal = {Mathematica Japonica},
   volume = {43},
   number = {3},
   year = {1996},
   pages = {431--443},
}

@article{WZ00,
   author = {Weihrauch, Klaus and Zheng, Xizhong},
   title = {Computability on continuous, lower semi-continuous and upper semi-continuous real functions},
   journal = {Theoretical Computer Science},
   volume = {234},
   year = {2000},
   pages = {109--133},
}

@inproceedings{WZ01,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Is the Linear {S}chr{\"o}dinger Propagator {T}uring Computable?},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {369--377},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{WZ01b,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {{T}uring Computability of a Nonlinear {S}chr{\"o}dinger Propagator},
   editor = {Wang, Jie},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {2108},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {596--599},
   note = {7th Annual International Conference, COCOON 2001, Guilin, China, August 20-23, 2001},
}

@inproceedings{WZ02,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {The Solution Operator of the {K}orteweg-de {V}ries Equation is Computable},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{WZ02a,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Is wave propagation computable or can wave computers beat the {T}uring machine?},
   journal = {Proceedings of the London Mathematical Society},
   volume = {85},
   number = {2},
   year = {2002},
   pages = {312--332},
}

@inproceedings{WZ05,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {An Algorithm for Computing Fundamental Solutions},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {201--215},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{WZ05a,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Computing the solution of the {K}orteweg-de {V}ries equation with arbitrary precision on {T}uring machines},
   journal = {Theoretical Computer Science},
   volume = {332},
   number = {1--3},
   year = {2005},
   pages = {337--366},
}

@article{WZ06,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {An algorithm for computing fundamental solutions},
   journal = {SIAM Journal on Computing},
   volume = {35},
   number = {6},
   year = {2006},
   pages = {1283--1294},
}

@article{WZ06b,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Computing {S}chr{\"o}dinger propagators on {T}ype-2 {T}uring machines},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {918--935},
}

@inproceedings{WZ06c,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Beyond the first main theorem---when is the solution of a linear {C}auchy problem computable?},
   booktitle = {Theory and applications of models of computation},
   series = {Lecture Notes in Comput. Sci.},
   volume = {3959},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {783--792},
   doi = {10.1007/11750321_75},
}

@inproceedings{WZ07,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Computable analysis of the abstract {C}auchy problem in a {B}anach space and its applications {(I)}},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {33--59},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{WZ07a,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {Computable analysis of the abstract {C}auchy problem in a {B}anach space and its applications {I}},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {511--531},
}

@inproceedings{WZ97,
   author = {Weihrauch, Klaus and Zheng, Xizhong},
   title = {Computability on Continuous, Lower Semi-Continuous and Upper Semi-Continuous Real Functions},
   editor = {Jiang, Tao and Lee, D.T.},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {1276},
   publisher = {Springer},
   address = {Berlin},
   year = {1997},
   pages = {166--175},
   note = {Third Annual Conference, COCOON'97, Shanghai, China, August 1997},
}

@inproceedings{WZ98,
   author = {Weihrauch, Klaus and Zheng, Xizhong},
   title = {A Finite Hierarchy of the Recursively Enumerable Real Numbers},
   editor = {Brim, Lubo{\v{s}} and Gruska, Jozef and Zlatu{\v{s}}ka, Ji{\v{r}}{\'{\i}}},
   booktitle = {Mathematical Foundations of Computer Science 1998},
   series = {Lecture Notes in Computer Science},
   volume = {1450},
   publisher = {Springer},
   address = {Berlin},
   year = {1998},
   pages = {798--806},
   note = {23rd International Symposium, MFCS'98, Brno, Czech Republic, August, 1998},
}

@article{WZ99,
   author = {Weihrauch, Klaus and Zheng, Xizhong},
   title = {Effectiveness of the global modulus of continuity on metric spaces},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {439--450},
}

@inproceedings{WZ99a,
   author = {Weihrauch, Klaus and Zhong, Ning},
   title = {The Wave Propagator is {T}uring Computable},
   editor = {Wiedermann, Ji{\v{r}}{\'{\i}} and van Emde Boas, Peter and Nielsen, Mogens},
   booktitle = {Automata, Languages and Programming},
   series = {Lecture Notes in Computer Science},
   volume = {1644},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {697--706},
   note = {26th International Colloquium, ICALP'99, Prague, Czech Republic, July, 1999},
}

@article{XFZ15,
   author = {Xie, Bo and Fu, Ming Quan and Zucker, Jeffery},
   title = {Characterizations of semicomputable sets of real numbers},
   journal = {Journal of Logical and Algebraic Methods in Programming},
   volume = {84},
   number = {1},
   year = {2015},
   pages = {124--154},
   doi = {10.1016/j.jlap.2013.11.001},
}

@inproceedings{XG07,
   author = {Xu, Yatao and Grubba, Tanja},
   title = {Computability on Subsets of Locally Compact Spaces},
   editor = {Cai, J.-Y. and Cooper, S.B. and Zhu, H.},
   booktitle = {Theory and Applications of Models of Computation},
   series = {Lecture Notes in Computer Science},
   volume = {4484},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {100--114},
   note = {4th International Conference, TAMC 2007, Shanghai, China, May 2007},
}

@article{XG09,
   author = {Xu, Yatao and Grubba, Tanja},
   title = {On computably locally compact {H}ausdorff spaces},
   journal = {Math. Structures Comput. Sci.},
   volume = {19},
   number = {1},
   year = {2009},
   pages = {101--117},
   doi = {10.1017/S0960129508007366},
}

@article{Yas00,
   author = {Yasugi, Mariko},
   title = {How to understand the computability aspects of step functions},
   journal = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
   volume = {1169},
   year = {2000},
   pages = {84--91},
   note = {Research Institute for Mathematical Sciences Kyoto},
}

@article{Yas96,
   author = {Yasugi, Mariko},
   title = {Computability in analysis},
   journal = {Surikaisekikenkyusho-Kokyuroku},
   volume = {850},
   year = {1993},
   pages = {207--214},
   note = {Workshop on Stochastic Numerics, Kyoto},
}

@inproceedings{Yas98,
   author = {Yasugi, Mariko},
   title = {Computability problem of {G}aussian function},
   editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {235},
   publisher = {FernUniversit\"at Hagen},
   year = {1998},
   month = aug,
   pages = {157--165},
   note = {CCA Workshop, Brno, Czech Republic, August, 1998},
}

@article{YBW01,
   author = {Yasugi, Mariko and Brattka, Vasco and Washihara, Masako},
   title = {Computability aspects of some discontinuous functions},
   journal = {Scientiae Mathematicae Japonicae Online},
   volume = {5},
   year = {2001},
   pages = {405--419},
}

@article{YBW02,
   author = {Yasugi, Mariko and Brattka, Vasco and Washihara, Masako},
   title = {Computability aspects of some discontinuous functions},
   journal = {Scientiae Mathematicae Japonicae},
   volume = {55},
   number = {3},
   year = {2002},
   pages = {427--441},
}

@inproceedings{YBW02a,
   author = {Yasugi, Mariko and Brattka, Vasco and Washihara, Masako},
   title = {Limit computation of some discontinuous functions},
   booktitle = {Theoretical development and feasibility of mathematical analysis on the computer},
   series = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
   volume = {1286},
   publisher = {Research Institute for Mathematical Sciences},
   address = {Kyoto},
   year = {2002},
   pages = {79--84},
}

@article{YCK06,
   author = {Yu, Fuxiang and Chou, Arthur and Ko, Ker-I},
   title = {On the complexity of finding circumscribed rectangles and squares for a two-dimensional domain},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {803--817},
}

@article{YDD04,
   author = {Yu, Liang and Ding, Decheng and Downey, Rodney},
   title = {The {K}olmogorov complexity of random reals},
   journal = {Annals of Pure and Applied Logic},
   volume = {129},
   number = {1--3},
   year = {2004},
   pages = {163--180},
}

@article{Ye02,
   author = {Ye, Feng},
   title = {Toward a constructive theory of unbounded linear operators},
   journal = {The Journal of Symbolic Logic},
   volume = {65},
   number = {1},
   year = {2000},
   pages = {357--370},
}

@article{YK13,
   author = {Yu, Fuxiang and Ko, Ker-I},
   title = {On logarithmic-space computable real numbers},
   journal = {Theoret. Comput. Sci.},
   volume = {469},
   year = {2013},
   pages = {127--133},
   doi = {10.1016/j.tcs.2012.10.004},
}

@article{YK13a,
   author = {Yu, Fuxiang and Ko, Ker-I},
   title = {On parallel complexity of analytic functions},
   journal = {Theoret. Comput. Sci.},
   volume = {489/490},
   year = {2013},
   pages = {48--57},
   doi = {10.1016/j.tcs.2013.04.008},
}

@article{YK99,
   author = {Yamakawa, Takeshi and Kreinovich, Vladik},
   title = {Why fundamental physical equations are of second order?},
   journal = {International Journal of Theoretical Physics},
   volume = {38},
   number = {6},
   year = {1999},
   pages = {1763--1770},
}

@inproceedings{YMT05,
   author = {Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki},
   title = {Effective sequence of uniformities and its effective limit},
   editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch, Klaus},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {326},
   publisher = {FernUniversit\"at in Hagen},
   year = {2005},
   month = jul,
   pages = {301--318},
   note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan, August 25--29, 2005},
}

@article{YMT07,
   author = {Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki},
   title = {The effective sequence of uniformities and its limit as a methodology in computable analysis},
   journal = {Annals of the Japan Association for Philosophy of Science},
   volume = {15},
   number = {2},
   year = {2007},
   pages = {99--121},
   doi = {10.4288/jafpos1956.15.99},
}

@article{YMT99,
   author = {Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki},
   title = {Effective properties of sets and functions in metric spaces with computability structure},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {467--486},
}

@article{Yos02,
   author = {Yoshikawa, Atsushi},
   title = {Interpolation functor and computability},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {487--498},
}

@article{Yos03,
   author = {Yoshikawa, Atsushi},
   title = {On an ad hoc computability structure in a {H}ilbert space},
   journal = {Proc. Japan Acad. Ser. A},
   volume = {79},
   number = {3},
   year = {2003},
   pages = {65--70},
}

@article{Yos05,
   author = {Yoshida, Satoru},
   title = {The constructive completion of the space ${\cal D}(R)$},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {1},
   year = {2005},
   pages = {77--82},
}

@article{Yos06,
   author = {Yoshida, Satoru},
   title = {Generalized functions with pseudobounded support in constructive mathematics},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {783--802},
}

@article{Yos07,
   author = {Yoshikawa, Atsushi},
   title = {On computability of the {G}alerkin procedure},
   journal = {Proc. Japan Acad. Ser. A},
   volume = {83},
   number = {5},
   year = {2007},
   pages = {69--72},
}

@inproceedings{YT02,
   author = {Yasugi, Mariko and Tsujii, Yoshiki},
   title = {Two Notions of Sequential Computability of a Function with Jumps},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@article{YT05,
   author = {Yasugi, Mariko and Tsujii, Yoshiki},
   title = {Computability of a function with jumps -- Effective uniformity and limiting recursion},
   journal = {Topology and its Applications},
   volume = {146-147},
   year = {2005},
   pages = {563--582},
}

@article{YTM02,
   author = {Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu},
   title = {Metrization of the Uniform Space and Effective Convergence},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {123--130},
}

@article{YTM05,
   author = {Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu},
   title = {Sequential Computability of a Function. Effective {F}ine Space and Limiting Recursion},
   journal = {Journal of Universal Computer Science},
   volume = {11},
   number = {12},
   year = {2005},
   pages = {2179--2191},
}

@inproceedings{YTM21,
   author = {Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu},
   title = {Irrational-based computability of functions},
   editor = {Arai, Toshiyasu and Kikuchi, Makoto and Kuroda, Satoru and Okada, Mitsuhiro and Yorioka, Teruyuki},
   booktitle = {Advances in mathematical logic},
   series = {Springer Proc. Math. Stat.},
   volume = {369},
   publisher = {Springer},
   address = {Singapore},
   year = {2021},
   pages = {181--204},
   doi = {10.1007/978-981-16-4173-2\_9},
}

@inproceedings{YTM22,
   author = {Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu},
   title = {A effective study of continued ractions and applications},
   editor = {Ikeda, Kazuma},
   booktitle = {Theory and Applications of Proof and Computation},
   series = {RIMS K{\^{o}}ky{\^{u}}roku},
   volume = {2228},
   publisher = {Research Institute for Mathematical Sciences},
   address = {Kyoto},
   year = {2022},
   pages = {168--185},
}

@inproceedings{Yu07,
   author = {Yu, Fuxiang},
   title = {On the complexity of the pancake problem},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {95--115},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Yu07a,
   author = {Yu, Fuxiang},
   title = {On the complexity of the pancake problem},
   journal = {Mathematical Logic Quarterly},
   volume = {53},
   number = {4--5},
   year = {2007},
   pages = {532--546},
}

@article{Yu20,
   author = {Yu, Liang},
   title = {An Application of Recursion Theory to Analysis},
   journal = {The Bulletin of Symbolic Logic},
   volume = {26},
   number = {1},
   year = {2020},
   pages = {15--25},
   doi = {10.1017/bsl.2020.19},
}

@article{Yu94,
   author = {Yu, Xiaokang},
   title = {Lebesgue convergence theorems and reverse mathematics},
   journal = {Mathematical Logic Quarterly},
   volume = {40},
   number = {1},
   year = {1994},
   pages = {1--13},
   doi = {10.1002/malq.19940400102},
}

@inproceedings{Yue21,
   author = {Yuen, Henry},
   title = {Einstein Meets {T}uring: The Computability of Nonlocal Games},
   editor = {De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fern{\'a}ndez-Duque, David},
   booktitle = {Connecting with Computability},
   publisher = {Springer},
   address = {Cham},
   year = {2021},
   pages = {483--493},
   doi = {10.1007/978-3-030-80049-9_47},
}

@inproceedings{YW03,
   author = {Yasugi, Mariko and Washihara, Masako},
   title = {A note on {R}ademacher Functions and Computability},
   editor = {Ito, Masami and Imaoka, Teruo},
   booktitle = {Words, Languages \& Combinatorics III},
   publisher = {World Scientific Publishing},
   address = {Singapore},
   year = {2003},
   pages = {466--475},
   note = {ICWLC 2000, Kyoto, Japan, March 14--18, 2000},
}

@article{YW10,
   author = {Yasugi, Mariko and Washihara, Masako},
   title = {Sequential computability of a function---limiting recursion versus effective uniformity---to the memory of {M}arian {B}oykan {P}our-{E}l},
   journal = {Sci. Math. Jpn.},
   volume = {71},
   number = {3},
   year = {2010},
   pages = {331--341},
}

@book{Zah78,
   author = {Zahn, Peter},
   title = {Ein konstruktiver {W}eg zur {M}a{\ss}theorie und {F}unktionalanalysis},
   publisher = {Wissenschaftliche Buchgesellschaft},
   address = {Darmstadt},
   year = {1978},
}

@article{Zah85,
   author = {Zahn, Peter},
   title = {Gilt das {L}emma von {K}{\"{o}}nig ``konstruktiv''?},
   journal = {Archiv f\"ur Mathematische Logik und Grundlagenforschung},
   volume = {25},
   year = {1985},
   pages = {33--35},
}

@article{Zas55,
   author = {Zaslavski{\u{i}}, Igor D.},
   title = {Disproof of some theorems of classical analysis in constructive analysis ({R}ussian)},
   journal = {Usp.\ Mat.\ Nauk},
   volume = {10},
   number = {4},
   year = {1955},
   pages = {209--210},
}

@article{Zas62,
   author = {Zaslavski{\u{i}}, Igor D.},
   title = {Some properties of constructive real numbers and constructive functions ({R}ussian)},
   journal = {Tr.\ Mat.\ Inst.\ Steklov},
   volume = {67},
   number = {4},
   year = {1962},
   pages = {385--457},
   note = {(English translation in: Amer.\ Math.\ Soc.\ Translations 2 57,1--84(1966))},
}

@article{Zas64,
   author = {Zaslavski{\u{i}}, Igor D.},
   title = {On the differentiation and integration of constructive functions ({R}ussian)},
   journal = {Doklady Akademii Nauk},
   volume = {156},
   year = {1964},
   pages = {25--27},
}

@article{Zas67,
   author = {Zaslavski{\u{i}}, Igor D.},
   title = {Rectifiability of constructive plane curves ({R}ussian)},
   journal = {Izv. Akad. Nauk Armjan. SSR Ser. Mat.},
   volume = {2},
   year = {1967},
   pages = {69--82},
}

@inproceedings{ZB00,
   author = {Ziegler, Martin and Brattka, Vasco},
   title = {Computing the Dimension of Linear Subspaces},
   editor = {Hlav{\'{a}}{\v{c}}, V{\'{a}}clav and Jeffery, Keith G. and Wiedermann, Ji{\v{r}}{\'{\i}}},
   booktitle = {SOFSEM 2000: Theory and Practice of Informatics},
   series = {Lecture Notes in Computer Science},
   volume = {1963},
   publisher = {Springer},
   address = {Berlin},
   year = {2000},
   pages = {450--458},
   note = {27th Conference on Current Trends in Theory and Practice of Informatics, Milovy, Czech Republic, November 25--December 2, 2000},
}

@inproceedings{ZB01,
   author = {Ziegler, Martin and Brattka, Vasco},
   title = {A Computable Spectral Theorem},
   editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
   booktitle = {Computability and Complexity in Analysis},
   series = {Lecture Notes in Computer Science},
   volume = {2064},
   publisher = {Springer},
   address = {Berlin},
   year = {2001},
   pages = {378--388},
   note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000},
}

@inproceedings{ZB01a,
   author = {Ziegler, Martin and Brattka, Vasco},
   title = {Turing Computability of (Non-)Linear Optimization},
   editor = {Therese Biedl},
   booktitle = {Thirteenth Canadian Conference on Computational Geometry},
   publisher = {University of Waterloo},
   year = {2001},
   pages = {181--184},
   note = {CCCG 2001, August 13--15, 2001},
}

@inproceedings{ZB03,
   author = {Zheng, Xizhong and Barmpalias, George},
   title = {On the Monotonic Computability of Semi-computable Real Numbers},
   editor = {Calude, Cristian S. and Dinneen, Michael J. and Vajnovszki, Vincent},
   booktitle = {Discrete Mathematics and Theoretical Computer Science},
   series = {Lecture Notes in Computer Science},
   volume = {2731},
   publisher = {Springer},
   address = {Berlin},
   year = {2003},
   pages = {290--300},
   note = {DMTCS 2003, 4th International Conference, July 7--12, 2003, Dijon},
}

@article{ZB04,
   author = {Ziegler, Martin and Brattka, Vasco},
   title = {Computability in Linear Algebra},
   journal = {Theoretical Computer Science},
   volume = {326},
   number = {1--3},
   year = {2004},
   pages = {187--211},
}

@article{ZBW99,
   author = {Zheng, Xizhong and Brattka, Vasco and Weihrauch, Klaus},
   title = {Approaches to Effective Semi-Continuity of Real Functions},
   journal = {Mathematical Logic Quarterly},
   volume = {45},
   number = {4},
   year = {1999},
   pages = {481--496},
   doi = {10.1002/malq.19990450407},
}

@article{ZH05,
   author = {Zhou, Qing and Hu, Weihao},
   title = {Decidability in Analysis},
   journal = {Computing},
   volume = {75},
   year = {2005},
   pages = {319--336},
}

@article{Zhe02,
   author = {Zheng, Xizhong},
   title = {The closure properties on real numbers under limits and computable operators},
   journal = {Theoretical Computer Science},
   volume = {284},
   number = {2},
   year = {2002},
   pages = {499--518},
}

@article{Zhe02a,
   author = {Zheng, Xizhong},
   title = {Recursive Approximability of Real Numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {131--156},
}

@article{Zhe03,
   author = {Zheng, Xizhong},
   title = {On the {T}uring degrees of weakly computable real numbers},
   journal = {Journal of Logic and Computation},
   volume = {13},
   number = {2},
   year = {2003},
   pages = {159--172},
}

@inproceedings{Zhe03a,
   author = {Zheng, Xizhong},
   title = {On the divergence bounded computable real numbers},
   editor = {Warnow, Tandy and Zhu, Binhai},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {2697},
   publisher = {Springer},
   address = {Berlin},
   year = {2003},
   pages = {102--111},
   note = {{COCOON} 2003, 9th Annual International Conference, July 25-28, 2003, Big Sky, MT, USA},
}

@inproceedings{Zhe04,
   author = {Zheng, Xizhong},
   title = {On the hierarchy of $\Delta^0_2$--real numbers},
   editor = {Frougny, Christiane and Brattka, Vasco and M{\"{u}}ller, Norbert},
   booktitle = {RNC'6 Real Numbers and Computers},
   year = {2004},
   pages = {192--216},
   note = {Dagstuhl, Germany, November 15--17, 2004},
}

@inproceedings{Zhe07,
   author = {Zheng, Xizhong},
   title = {Classification of the computable approximations by divergence boundings},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {325--344},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Zhe07a,
   author = {Zheng, Xizhong},
   title = {On the Hierarchies of {$\Delta^0_2$}--Real Numbers},
   journal = {Theoretical Informatics and Applications},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {3--25},
}

@inproceedings{Zhe07b,
   author = {Zheng, Xizhong},
   title = {Bounded computable enumerability and hierarchy of computably enumerable reals},
   booktitle = {Computing and combinatorics},
   series = {Lecture Notes in Comput. Sci.},
   volume = {4598},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {327--337},
   doi = {10.1007/978-3-540-73545-8_33},
}

@inproceedings{Zhe08,
   author = {Zheng, Xizhong},
   title = {Finitely Bounded Effective Computability},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {255--265},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{Zhe08a,
   author = {Zheng, Xizhong},
   title = {A hierarchy of computably enumerable reals},
   journal = {Fundamenta Informaticae},
   volume = {83},
   number = {1-2},
   year = {2008},
   pages = {219--230},
}

@article{Zhe08b,
   author = {Zheng, Xizhong},
   title = {Classification of computably approximable real numbers},
   journal = {Theory of Computing Systems},
   volume = {43},
   number = {3-4},
   year = {2008},
   pages = {603--624},
   doi = {10.1007/s00224-007-9026-5},
}

@phdthesis{Zhe98a,
   author = {Zheng, Xizhong},
   title = {Weak Computability and Semi-Computability in Analysis},
   school = {Fachbereich Informatik},
   address = {FernUniversit\"{a}t Hagen},
   year = {1998},
}

@inproceedings{Zhe99,
   author = {Zheng, Xizhong},
   title = {Binary Enumerability of Real Numbers},
   editor = {Asana, Takao and Imai, Hiroshi and Lee, D.T. and Nakano, Shin-ichi and Tokuyama, Takeshi},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {1627},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {300--309},
   note = {5th Annual Conference, COCOON'99, Tokyo, Japan, July 1999},
}

@article{Zho00,
   author = {Zhou, Qing},
   title = {Grzegorczyk's hierarchy of computable analysis},
   journal = {Theoretical Computer Science},
   volume = {243},
   year = {2000},
   pages = {449--466},
}

@article{Zho01,
   author = {Zhou, Qing},
   title = {Relatively computable functions of real variables},
   journal = {Computing},
   volume = {67},
   number = {2},
   year = {2001},
   pages = {167--181},
}

@inproceedings{Zho05,
   author = {Zhong, Ning},
   title = {Computable Analysis of a Non-homogeneous Boundary-Value Problem for the {K}orteweg-de {V}ries Equation},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {552--561},
   note = {{F}irst Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@inproceedings{Zho06,
   author = {Zheng, Xizhong},
   title = {A Computability Theory of Real Numbers},
   editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
   booktitle = {Logical Approaches to Computational Barriers},
   series = {Lecture Notes in Computer Science},
   volume = {3988},
   publisher = {Springer},
   address = {Berlin},
   year = {2006},
   pages = {584--594},
   note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006},
}

@article{Zho07,
   author = {Zhong, Ning},
   title = {Computable Analysis of a Boundary-Value Problem for the {K}orteweg-de {V}ries Equation},
   journal = {Theory of Computing Systems},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {155--175},
}

@article{Zho09,
   author = {Zhong, Ning},
   title = {Computational unsolvability of domains of attraction of nonlinear systems},
   journal = {Proc. Amer. Math. Soc.},
   volume = {137},
   number = {8},
   year = {2009},
   pages = {2773--2783},
   doi = {10.1090/S0002-9939-09-09851-7},
}

@phdthesis{Zho92,
   author = {Zhou, Qing},
   title = {Computability on open and closed subsets of {E}uclidean space},
   school = {University of Minnesota},
   address = {Minneapolis},
   year = {1992},
}

@article{Zho96,
   author = {Zhou, Qing},
   title = {Computable real-valued functions on recursive open and closed subsets of {E}uclidean space},
   journal = {Mathematical Logic Quarterly},
   volume = {42},
   year = {1996},
   pages = {379--409},
}

@article{Zho96a,
   author = {Zhong, Ning},
   title = {Effective Separation Axioms},
   journal = {Questions and Answers in General Topology},
   volume = {14},
   number = {2},
   year = {1996},
   pages = {177--185},
}

@inproceedings{Zho97,
   author = {Zhou, Qing},
   title = {Subclasses of Computable Real Valued Functions},
   editor = {Jiang, Tao and Lee, D.T.},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {1276},
   publisher = {Springer},
   address = {Berlin},
   year = {1997},
   pages = {156--165},
   note = {Third Annual Conference, COCOON'97, Shanghai, China, August 1997},
}

@article{Zho97a,
   author = {Zhong, Ning},
   title = {Effective collectionwise {H}ausdorff and normal axioms},
   journal = {Questions and Answers in General Topology},
   volume = {15},
   number = {2},
   year = {1997},
   pages = {225--230},
}

@article{Zho98,
   author = {Zhong, Ning},
   title = {Recursively Enumerable Subsets of ${R}^q$ In Two Computing Models: {B}lum-{S}hub-{S}male Machine and {T}uring Machine},
   journal = {Theoretical Computer Science},
   volume = {197},
   year = {1998},
   pages = {79--94},
}

@article{Zho98a,
   author = {Zhong, Ning},
   title = {Derivatives of computable functions},
   journal = {Mathematical Logic Quarterly},
   volume = {44},
   year = {1998},
   pages = {304--316},
}

@article{Zho99,
   author = {Zhong, Ning},
   title = {Computability structure of the {S}obolev spaces and its applications},
   journal = {Theoretical Computer Science},
   volume = {219},
   year = {1999},
   pages = {487--510},
}

@article{Zie02,
   author = {Ziegler, Martin},
   title = {Computability on Regular Subsets of {E}uclidean Space},
   journal = {Mathematical Logic Quarterly},
   volume = {48},
   number = {Suppl. 1},
   year = {2002},
   pages = {157--181},
}

@phdthesis{Zie02a,
   author = {Ziegler, Martin},
   title = {Zur Berechenbarkeit reeller geometrischer Probleme},
   school = {Fachbereich Mathematik/Informatik, Universit\"at Paderborn},
   address = {Paderborn},
   year = {2002},
}

@inproceedings{Zie03,
   author = {Ziegler, Martin},
   title = {Computable operators on regular sets},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {389--406},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@inproceedings{Zie03a,
   author = {Ziegler, Martin},
   title = {Stability versus Speed in a Computable Algebraic Model},
   editor = {Daumas, Marc et al.},
   booktitle = {RNC'5 Real Numbers and Computers},
   year = {2003},
   pages = {47--64},
   note = {Lyon, September 3--5, 2003},
}

@article{Zie04,
   author = {Ziegler, Martin},
   title = {Computable operators on regular sets},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {392--404},
}

@inproceedings{Zie05,
   author = {Ziegler, Martin},
   title = {Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism},
   editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
   booktitle = {New Computational Paradigms},
   series = {Lecture Notes in Computer Science},
   volume = {3526},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {562--571},
   note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 2005},
}

@article{Zie05b,
   author = {Ziegler, Martin},
   title = {Computational Power of Infinite Quantum Parallelism},
   journal = {International Journal of Theoretical Physics},
   volume = {44},
   number = {11},
   year = {2005},
   pages = {2059--2071},
   doi = {10.1007/s10773-005-8984-0},
}

@article{Zie06,
   author = {Ziegler, Martin},
   title = {Stability versus speed in a computable algebraic model},
   journal = {Theoretical Computer Science},
   volume = {351},
   number = {1},
   year = {2006},
   pages = {14--26},
}

@article{Zie06b,
   author = {Ziegler, Martin},
   title = {Effectively open real functions},
   journal = {Journal of Complexity},
   volume = {22},
   number = {6},
   year = {2006},
   pages = {827--849},
}

@inproceedings{Zie07,
   author = {Ziegler, Martin},
   title = {Revising type-2 computation and degrees of discontinuity},
   editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch, Klaus},
   booktitle = {Proceedings of the Third International Conference on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {167},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2007},
   pages = {255--274},
   note = {{CCA} 2006, Gainesville, Florida, USA, November 1--5, 2006},
}

@article{Zie07a,
   author = {Ziegler, Martin},
   title = {Real Hypercomputation and Continuity},
   journal = {Theory of Computing Systems},
   volume = {41},
   number = {1},
   year = {2007},
   pages = {177--206},
}

@inproceedings{Zie07b,
   author = {Ziegler, Martin},
   title = {({S}hort) Survey of Real Hypercomputation},
   editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
   booktitle = {Computation and Logic in the Real World},
   series = {Lecture Notes in Computer Science},
   volume = {4497},
   publisher = {Springer},
   address = {Berlin},
   year = {2007},
   pages = {809--824},
   note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007},
}

@phdthesis{Zie07c,
   author = {Ziegler, Martin},
   title = {Real Computability and Hypercomputation},
   school = {Department of Computer Science, University of Paderborn},
   address = {Paderborn, Germany},
   year = {2007},
   note = {Habilitation Thesis},
}

@article{Zie09,
   author = {Ziegler, Martin},
   title = {Physically-relativized {C}hurch-{T}uring {H}ypotheses: physical foundations of computing and complexity theory of computational physics},
   journal = {Appl. Math. Comput.},
   volume = {215},
   number = {4},
   year = {2009},
   pages = {1431--1447},
   doi = {10.1016/j.amc.2009.04.062},
}

@article{Zie12,
   author = {Ziegler, Martin},
   title = {Real computation with least discrete advice: a complexity theory of nonuniform computability with applications to effective linear algebra},
   journal = {Ann. Pure Appl. Logic},
   volume = {163},
   number = {8},
   year = {2012},
   pages = {1108--1139},
   doi = {10.1016/j.apal.2011.12.030},
}

@article{ZLB06,
   author = {Zheng, Xizhong and Lub, Dianchen and Bao, Kejin},
   title = {Divergence bounded computable real numbers},
   journal = {Theoretical Computer Science},
   volume = {351},
   number = {1},
   year = {2006},
   pages = {27--38},
}

@inproceedings{ZM08,
   author = {Zhao, Xishun and M\"uller, Norbert},
   title = {Complexity of Operators on Compact Sets},
   editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Proceedings of the Fourth International Conference on Computability and Complexity in Analysis ({CCA} 2007)},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {202},
   publisher = {Elsevier},
   year = {2008},
   pages = {101--119},
   note = {{CCA} 2007, Siena, Italy, June 16--18, 2007},
}

@article{ZM68,
   author = {Zaslavski\u{\i}, I. D. and Manukjan, S. N.},
   title = {Partitionings of the plane by constructive curves},
   journal = {Trudy Vy\v{c}isl. Centra Akad. Nauk Armjan. SSR i Erevan. Gos. Univ.},
   volume = {5},
   year = {1968},
   pages = {26--138},
}

@inproceedings{ZR03,
   author = {Zheng, Xizhong and Rettinger, Robert},
   title = {$h$--{M}onotonically computable real numbers},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus and Zhong, Ning},
   booktitle = {Computability and Complexity in Analysis},
   series = {Informatik Berichte},
   volume = {302},
   publisher = {FernUniversit\"at in Hagen},
   year = {2003},
   month = aug,
   pages = {375--388},
   note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30, 2003},
}

@article{ZR04,
   author = {Zheng, Xizhong and Rettinger, Robert},
   title = {Weak computability and representation of reals},
   journal = {Mathematical Logic Quarterly},
   volume = {50},
   number = {4,5},
   year = {2004},
   pages = {431--442},
}

@inproceedings{ZR04b,
   author = {Zheng, Xizhong and Rettinger, Robert},
   title = {On the extensions of {S}olovay Reducibility},
   editor = {Chwa, Kyung-Yong and Munro, J. Ian},
   booktitle = {Computing and Combinatorics},
   series = {Lecture Notes in Computer Science},
   volume = {3106},
   publisher = {Springer},
   address = {Berlin},
   year = {2005},
   pages = {360--369},
   note = {10th Annual International Conference, {COCOON} 2004, Jeju Island, Korea, August 17--20, 2004},
}

@inproceedings{ZR05,
   author = {Zheng, Xizhong and Rettinger, Robert},
   title = {A Note On the {T}uring Degrees of Divergence Bounded Computable Reals},
   editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
   booktitle = {Proceedings of the 6th Workshop on Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {120},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2005},
   pages = {231--237},
   note = {6th International Workshop, {CCA} 2004, Wittenberg, Germany, August 16--20, 2004},
}

@article{ZR05a,
   author = {Zheng, Xizhong and Rettinger, Robert},
   title = {Effective {J}ordan decomposition},
   journal = {Theory of Computing Systems},
   volume = {38},
   number = {2},
   year = {2005},
   pages = {189--209},
}

@article{ZR12,
   author = {Zheng, Xizhong and Rettinger, Robert},
   title = {Point-separable classes of simple computable planar curves},
   journal = {Log. Methods Comput. Sci.},
   volume = {8},
   number = {3},
   year = {2012},
   pages = {3:15, 19},
}

@inproceedings{ZRB02,
   author = {Zheng, Xizhong and Rettinger, Robert and von Braunm\"uhl, Burchard},
   title = {Effectively Absolute Continuity and Effective {J}ordan Decomposability},
   editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
   booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
   series = {Electronic Notes in Theoretical Computer Science},
   volume = {66},
   publisher = {Elsevier},
   address = {Amsterdam},
   year = {2002},
   note = {5th International Workshop, {CCA} 2002, M{\'{a}}laga, Spain, July 12--13, 2002},
}

@inproceedings{ZRB03,
   author = {Zheng, Xizhong and Rettinger, Robert and von Braunm\"uhl, Burchard},
   title = {On the Effective {J}ordan Decomposability},
   editor = {Alt, Helmut and Habib, Michel},
   booktitle = {STACS 2003},
   series = {Lecture Notes in Computer Science},
   volume = {2607},
   publisher = {Springer},
   address = {Berlin},
   year = {2003},
   pages = {167--178},
   note = {20th Annual Symposium on Theoretical Aspects of Computer Science, Berlin, Germany, February 27--March 1, 2003},
}

@article{ZRB05,
   author = {Zheng, Xizhong and Rettinger, Robert and Barmpalias, George},
   title = {h-monotonically computable real numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {51},
   number = {2},
   year = {2005},
   pages = {157--170},
   doi = {10.1002/malq.200410016},
}

@inproceedings{ZRG03,
   author = {Zheng, Xizhong and Rettinger, Robert and Gengler, Romain},
   title = {Ershov's hierarchy of real numbers},
   editor = {Rovan, B. and Vojtas, P.},
   booktitle = {Mathematical Foundations of Computer Science 2003},
   series = {Lecture Notes in Computer Science},
   volume = {2747},
   publisher = {Springer},
   address = {Berlin},
   year = {2003},
   pages = {681--690},
   note = {MFCS 2003, August 25--29, 2003, Bratislava, Slovakia},
}

@article{ZRG05,
   author = {Zheng, Xizhong and Rettinger, Robert and Gengler, Romain},
   title = {Closure properties of real number classes under {CBV} functions},
   journal = {Theory of Computing Systems},
   volume = {38},
   year = {2005},
   pages = {701--729},
}

@article{ZW01,
   author = {Zheng, Xizhong and Weihrauch, Klaus},
   title = {The Arithmetical Hierarchy of Real Numbers},
   journal = {Mathematical Logic Quarterly},
   volume = {47},
   number = {1},
   year = {2001},
   pages = {51--65},
}

@article{ZW03,
   author = {Zhong, Ning and Weihrauch, Klaus},
   title = {Computability theory of generalized functions},
   journal = {Journal of the Association for Computing Machinery},
   volume = {50},
   number = {4},
   year = {2003},
   pages = {469--505},
}

@inproceedings{ZW99,
   author = {Zheng, Xizhong and Weihrauch, Klaus},
   title = {The Arithmetical Hierarchy of Real Numbers},
   editor = {Kuty{\l}owski, Miros{\l}aw and Pacholski, Leszek and Wierzbicki, Tomasz},
   booktitle = {Mathematical Foundations of Computer Science 1999},
   series = {Lecture Notes in Computer Science},
   volume = {1672},
   publisher = {Springer},
   address = {Berlin},
   year = {1999},
   pages = {23--33},
   note = {24th International Symposium, MFCS'99, Szklarska Por\c{e}ba, Poland, September, 1999},
}

@article{ZZ99,
   author = {Zhong, Ning and Zhang, Bing-Yu},
   title = {{$L^p$}-Computability},
   journal = {Mathematical Logic Quarterly},
   volume = {45},
   number = {4},
   year = {1999},
   pages = {449--456},
}

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