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Volumn , Issue , 2000, Pages 368-377

A new proof of the weak pigeonhole principle

Author keywords

[No Author keywords available]

Indexed keywords

DIAGONALIZATIONS; PIGEONHOLE PRINCIPLE; PROOF COMPLEXITY;

EID: 0033723776     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/335305.335348     Document Type: Conference Paper
Times cited : (17)

References (15)
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    • P. Beame and S. Riis. More on the relative strength of counting principles. In P. W. Beame and S. R. Buss, editors, Proof Complexity and Feasible Arithmetics, volume 39 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pages 13-35. American Mathematical Society, 1998.
    • (1998) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.39 , pp. 13-35
    • Beame, P.1    Riis, S.2
  • 2
    • 0000297004 scopus 로고
    • Polynomial size proofs of the propositional pigeonhole principle
    • S. R. Buss. Polynomial size proofs of the propositional pigeonhole principle. J. Symbolic Logic, 52: 916-927, 1987.
    • (1987) J. Symbolic Logic , vol.52 , pp. 916-927
    • Buss, S.R.1
  • 3
    • 84957616496 scopus 로고    scopus 로고
    • Resolution and the weak pigeonhole principle
    • S. R. Buss and T. Pitassi. Resolution and the weak pigeonhole principle. In Computer Science Logic, pages 149-156, 1997.
    • (1997) Computer Science Logic , pp. 149-156
    • Buss, S.R.1    Pitassi, T.2
  • 4
    • 0024140287 scopus 로고
    • Resolution proofs of generalized pigeonhole principles
    • S. R. Buss and G. Turán. Resolution proofs of generalized pigeonhole principles. Theoret. Comput. Sci., 62: 311-317, 1988.
    • (1988) Theoret. Comput. Sci. , vol.62 , pp. 311-317
    • Buss, S.R.1    Turán, G.2
  • 5
    • 0009942942 scopus 로고
    • Lower bounds to the size of constant-depth propositional proofs
    • J. Krajíček. Lower bounds to the size of constant-depth propositional proofs. J. Symbolic Logic, 59: 73-86, 1994.
    • (1994) J. Symbolic Logic , vol.59 , pp. 73-86
    • Krajíček, J.1
  • 7
    • 84990673645 scopus 로고
    • Exponential lower bound to the size of bounded depth Frege proofs of the pigeonhole principle
    • J. Krajíček, P. Pudlák, and A. Woods. Exponential lower bound to the size of bounded depth Frege proofs of the pigeonhole principle. Random Structures and Algorithms, 7: 15-39, 1995.
    • (1995) Random Structures and Algorithms , vol.7 , pp. 15-39
    • Krajíček, J.1    Pudlák, P.2    Woods, A.3
  • 8
    • 0001091728 scopus 로고
    • Counting problems in bounded arithmetic
    • Methods in Mathematical Logic: Proceedings of the 6th Latin American Symposium on Mathematical Logic 1983
    • J. B. Paris and A. J. Wilkie. Counting problems in bounded arithmetic. In Methods in Mathematical Logic: Proceedings of the 6th Latin American Symposium on Mathematical Logic 1983, volume 1130 of Lectures Notes in Mathematics, pages 317-340, 1985.
    • (1985) Lectures Notes in Mathematics , vol.1130 , pp. 317-340
    • Paris, J.B.1    Wilkie, A.J.2
  • 9
    • 0000589911 scopus 로고
    • Provability of the pigeonhole principle and the existence of infinitely many primes
    • J. B. Paris, A. J. Wilkie, and A. R. Woods. Provability of the pigeonhole principle and the existence of infinitely many primes. J. Symbolic Logic, 53: 1235-1244, 1988.
    • (1988) J. Symbolic Logic , vol.53 , pp. 1235-1244
    • Paris, J.B.1    Wilkie, A.J.2    Woods, A.R.3
  • 10
    • 0001893266 scopus 로고
    • Exponential lower bounds for the pigeonhole principle
    • T. Pitassi, P. Beame, and R. Impagliazzo. Exponential lower bounds for the pigeonhole principle. Comput. Complexity, pages 97-140, 1993.
    • (1993) Comput. Complexity , pp. 97-140
    • Pitassi, T.1    Beame, P.2    Impagliazzo, R.3
  • 11
    • 0000817789 scopus 로고
    • Unprovability of lower bounds on the circuit size in certain fragments of bounded arithmetic
    • A. A. Razborov. Unprovability of lower bounds on the circuit size in certain fragments of bounded arithmetic. Izvestiya of the R.A.N., 59 (1): 201-224, 1995.
    • (1995) Izvestiya of the R.A.N. , vol.59 , Issue.1 , pp. 201-224
    • Razborov, A.A.1
  • 15
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    • Some results and problems on weak systems of arithmetic
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    • A. J. Wilkie. Some results and problems on weak systems of arithmetic. In A. Macintyre, L. Pacholski, and J. Paris, editors, Logic Colloquium '77, pages 237-248. North-Holland, 1978.
    • (1978) Logic Colloquium '77 , pp. 237-248
    • Wilkie, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.