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Krajíček Jan

Prof., RNDr., DrSc.
Born June 18, 1960 in Prague

  • Member of Learned Society since 2004

Educational and professional preparation

  • 1985, RNDr., Charles University;
  • 1990, CSc., Czechoslovak Academy of Sciences;
  • 1993, DrSc., AS CR;
  • 2002, Associate Professor, CU;
  • 2004, Professor of Mathematical Logic, CU;

Employment and academic positions

  • 1985-present, Academy of Sciences;
  • 2000-present, Charles University;
  • 1988-89, 1990-91, visiting professor, University of Illinois (Urbana-Champaign);
  • 1993, visiting professor (six months), University of Toronto;
  • 1997-99, visiting scholar, Oxford University;
  • 2004 (Spring term), member, Institute for Advanced Study, Princeton.
  • 2006 and 2012 (Spring terms), senior visiting fellow, Isaac Newton Institute, Cambridge.

Membership and positions in international organizations and societies

  • Association for Symbolic Logic Concilium (1999-2001 Council, 2002-2005 Committee on Logic in Europe, 2006-present Committe on Prizes and Awards)
  • Member, American Mathematical Society
  • 2009-present, Panel Member for the ERC Advanced Grant evaluation
  • Member, editorial boards, Annals of Pure and Applied Logic, Notre Dame Journal of Formal Logic, Archive for Mathematical Logic, and Mathematical Methods in Computer Science
  • over the years, member of program/organization committees of over 30 international conferences

Notable awards

  • 1994, Award, young scientific workers, AS CR
  • 1998, Award, Minister of Education, Youth and Sports (for Science)
  • 2010, Award of the Academy of Sciences of the Czech Republic

Selected publications

  • J. Krajíček: On the Number of Steps in Proofs. Annals of Pure and Applied Logic 41(2), 153-178, (1989)
  • J. Krajíček, P. Pudlák and G. Takeuti: Bounded Arithmetic and the Polyno-mial Hierarchy, Annals of Pure and Applied Logic 52, 143-153, (1991).
  • J. Krajíček: Fragments of Bounded Arithmetic and Bounded Query Classes, Transactions of the AMS 338(2), 587-598, (1993).
  • J. Krajíček: Lower Bounds to the Size of Constant-Depth Propositional Proofs. J. of Symbolic Logic 59(1), 73-86, (1994).
  • J. Krajíček, P. Pudlák and A. Woods: An Exponential Lower Bound to the Size of Bounded Depth Frege Proofs of the Pigeonhole principle. Random Structures and Algorithms 7(1), 15-39,(1995).
  • P. Beame, R. Impagliazzo, J. Krajíček, T. Pitassi and P. Pudlák: Lower bounds on Hilbert.s Nullstellensatz and propositional proofs. Proceedings of the London Mathematical Society 73(3), 1-26, (1996).
  • J. Krajíček: Interpolation theorems, lower bounds for proof systems, and independence results for bounded arithmetic. J. of Symbolic Logic, 62(2), 457-486, (1997).
  • J. Krajíček a P. Pudlák: Some consequences of cryptographical conjectures for S12 and EF. Information and Computation 140 (1), 82-94, (1998).
  • J. Krajíček: Dual weak pigeonhole principle, pseudo-surjective functions, and provability of circuit lower bounds, J. of Symbolic Logic, 69(1), 265-286, (2004).
  • J. Krajíček: An exponential lower bound for a constraint propagation proof system based on ordered binary decision diagrams, J. of Symbolic Logic, 73(1), 227-237, (2008).
  • J. Krajíček: Bounded arithmetic, propositional logic, and complexity theory, Cambridge University Press, 1995.
  • J. Krajíček: Forcing with random variables and proof complexity, Cambridge University Press, 2011.

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News

26.06.20

Reaction to the case of Tomáš Hudlický: Members of the Learned Society of the Czech Republic support the freedom of expression

„We believe that free exchange of ideas is a key condition for the pursuit of truth and that the honest opinions should be scrutinized, challenged or rebutted but not censored or suppressed,“ say 45 members of the Learned Society in a statement regarding the retracted opinion paper by Prof. Tomáš Hudlický.

24.06.20

The letter by Jan Konvalinka to the President and Vice-Chancellor of the Brock University regarding the retracted article of Prof. Tomáš Hudlický

Opinions could and should be challenged, questioned or refuted but never silenced. In order to be able to think, we have to have the right to inquire, question and even offend or be mistaken,” writes Assoc. Prof. Jan Konvalinka, a biochemist at the IOCB Prague and the Vice-Rector of the Charles University, to Gervan Fearon.

27.11.19

Prof Miroslav Bárta receives the Česká hlava National Government Award

Learned Society member, Prof. Mgr. Miroslav Bárta, Dr. (Charles University Faculty of Arts) received the Česká hlava (Czech Head) National Government Award on 25 November 2019. A renowned Czech Egyptologist and archaeologist, Professor Bárta researches the history of ancient civilisations, the human relationship to the natural environment, and also for many years the evolution of complex societies. He leads the Czech Institute of Egyptology for archaeological and environmental research in Egypt and Sudan. His principal research interest is the period of the pyramid builders of the Old Kingdom.