Antonín Kučera

Doc. RNDr. Antonín Kučera, CSc.

Antonín Kučera
Antonín Kučera

Associate Professor



Welcome (at your own risk)


Teaching


  • NTIN064 Computability I

  • NTIN065 Computability II

  • NTIN073 Recursion Theory I

  • NTIN074 Recursion Theory II


Selected publications


  • Kučera A., Nies A. Demuth randomness and computational complexity, Annals of Pure and Applied Logic 162, pp.504–513, Elsevier, 2011

  • Kučera A., Nies A. Demuth's path to randomness, Lecture Notes in Computer Science, 7160, pp.159-173, Elsevier, 2012

  • Kučera A., Slaman T. Low upper bounds of ideals, Journal of Symbolic Logic, 74 (2), pp.517-534, ASL, 2009

  • Kučera A., Slaman T. Turing incomparability in Scott sets., Proc. Amer. Math. Soc., 135 (11), pp.3723-3731, AMS, 2007

  • Kučera A., Terwijn S. Lowness for the class of random sets, Journal of Symbolic Logic, 64 (4), pp.1396-1402, ASL, 1999

  • Kučera A., Slaman T. Randomness and recursive enumerability, SIAM J. Computing, 31(1), pp.199–211, SIAM, 2001

  • Kučera A. An alternative, priority-free, solution to Post problem, Lecture Notes in Computer Science 233, pp.493 - 500, Springer Verlag, 1986

  • Kučera A. Measure, PI-1(0)-classes and complete extensions of PA, Lecture Notes in Mathematics 1141, pp.245-259, Karger, 1985

  • Kučera A. On relative randomness, Annals of Pure and Applied Logic 63(1), pp.61-67, Elsevier, 1993

  • Kučera A. Randomness and generalizations of fixed-point free functions, Lecture Notes in Mathematics 1432, pp.245-254, Springer Verlag, 1990

  • Hájek P., Kučera A. On recursion theory in I-Sigma-1, Journal of Symbolic Logic, 54 (2), pp.576-589 , ASL, 1989

  • Kučera A. On the use of diagonally nonrecursive functions, Studies in Logic and the Foundations of Mathematics, vol. 129 (Logic Colloquium'87), pp.219-239, Elsevier, 1989

  • Kučera A. On the role of O' in Recursion Theory, Studies in Logic and the Foundations of Mathematics Volume 124, (Logic Colloquium '86), pp.133-141, Elsevier, 1987

  • Demuth O., Kučera A. Remarks on 1-genericity, semigenericity and related concepts, Comm. Math. Univ. Carolinae, 28(1), pp.85-94, , 1987

  • Demuth O., Kučera, A. Remarks on constructive mathematical analysis, Studies in Logic and the Foundations of Mathematics, vol. 97(C), pp.81-129, Elsevier, 1979











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Address

Department of Theoretical Computer Science and Mathematical Logic

Faculty of Mathematics and Physics

Charles University


Malostranské náměstí 25

Prague 1, 118 00

Czech Republic



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