Bounded arithmetic, propositional logic and complexity theory J Krajicek, J Krajíček Cambridge University Press, 1995 | 655 | 1995 |
Interpolation theorems, lower bounds for proof systems, and independence results for bounded arithmetic J Krajíček Journal of Symbolic Logic, 457-486, 1997 | 277 | 1997 |
Propositional proof systems, the consistency of first order theories and the complexity of computations J Krajíček, P Pudlák Journal of Symbolic Logic, 1063-1079, 1989 | 210 | 1989 |
Bounded arithmetic and the polynomial hierarchy J Krajíček, P Pudlák, G Takeuti Annals of Pure and Applied Logic 52 (1-2), 143-153, 1991 | 183 | 1991 |
An exponential lower bound to the size of bounded depth Frege proofs of the pigeonhole principle J Krajíček, P Pudlák, A Woods Random Structures & Algorithms 7 (1), 15-39, 1995 | 179 | 1995 |
On the weak pigeonhole principle J Krajíček Fundamenta Mathematicae 170, 123-140, 2001 | 152 | 2001 |
Some Consequences of Cryptographical Conjectures forS12and EF J Krajı́ček, P Pudlák Information and Computation 140 (1), 82-94, 1998 | 146* | 1998 |
Lower bounds to the size of constant-depth propositional proofs J Krajíček Journal of Symbolic Logic, 73-86, 1994 | 144 | 1994 |
Lower bounds on Hilbert's Nullstellensatz and propositional proofs P Beame, R Impagliazzo, J Krajíček, T Pitassi, P Pudlák Proceedings of the London Mathematical Society 3 (1), 1-26, 1996 | 140 | 1996 |
Exponential lower bounds for the pigeonhole principle P Beame, R Impagliazzo, J Krajíček, T Pitassi, P Pudlák, A Woods Proceedings of the Twenty-Fourth Annual ACM Symposium on Theory of Computing …, 1992 | 125 | 1992 |
Proof complexity in algebraic systems and bounded depth Frege systems with modular counting S Buss, R Impagliazzo, J Krajíček, P Pudlák, AA Razborov, J Sgall Computational Complexity 6 (3), 256-298, 1996 | 113 | 1996 |
Quantified propositional calculi and fragments of bounded arithmetic J Krajíček, P Pudlák Zeitschrift für mathematische Logik und Grundlagen der Mathematik 36 (1), 29-46, 1990 | 111 | 1990 |
An application of Boolean complexity to separation problems in bounded arithmetic SR Buss, J Krajíček Proceedings of the London Mathematical Society 3 (1), 1-21, 1994 | 96 | 1994 |
The number of proof lines and the size of proofs in first order logic J Krajíček, P Pudlák Archive for Mathematical Logic 27 (1), 69-84, 1988 | 89 | 1988 |
Lower bounds on Hilbert's Nullstellensatz and propositional proofs P Beame, R Impagliazzo, J Krajícek, T Pitassi, P Pudlák Proceedings 35th Annual Symposium on Foundations of Computer Science, 794-806, 1994 | 71 | 1994 |
Fragments of bounded arithmetic and bounded query classes J Krajíček Transactions of the American Mathematical Society 338 (2), 587-598, 1993 | 56 | 1993 |
Forcing with random variables and proof complexity J Krajíček Cambridge University Press, 2010 | 54 | 2010 |
Combinatorics with definable sets: Euler characteristics and Grothendieck rings J Krajíček, T Scanlon Bulletin of symbolic Logic, 311-330, 2000 | 53 | 2000 |
Consequences of the provability of NP⊆ P/poly S Cook, J Krajíček Journal of Symbolic Logic 72 (4), 1353-1371, 2007 | 51 | 2007 |
On Frege and extended Frege proof systems J Krajíček Feasible Mathematics II, 284-319, 1995 | 51 | 1995 |