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Volumn 80, Issue 3, 1996, Pages 195-228

An exponential separation between the parity principle and the pigeonhole principle

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EID: 0030603006     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-0072(96)83747-X     Document Type: Article
Times cited : (20)

References (18)
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    • Ajtai, M.1
  • 4
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    • (1989) J. ACM , vol.36 , pp. 643-670
    • Beame, P.W.1    Hâstad, J.2
  • 6
    • 0027150604 scopus 로고
    • An exponential separation between the matching principle and the pigeonhole principle
    • Montreal, Quebec
    • [5] P. Beame and T. Pitassi, An exponential separation between the matching principle and the pigeonhole principle, Proc. 8th Ann. IEEE Symp. on Logic in Computer Science, Montreal, Quebec, 1993.
    • (1993) Proc. 8th Ann. IEEE Symp. on Logic in Computer Science
    • Beame, P.1    Pitassi, T.2
  • 8
    • 0003360647 scopus 로고
    • Bounded arithmetic
    • Bibliopolis, Napoli
    • [7] S.R. Buss, Bounded Arithmetic, Vol. 3 Studies in Proof Theory (Bibliopolis, Napoli, 1986).
    • (1986) Studies in Proof Theory , vol.3
    • Buss, S.R.1
  • 9
    • 0000297004 scopus 로고
    • Polynomial size proofs of the pigeonhole principle
    • [8] S.R. Buss, Polynomial size proofs of the pigeonhole principle, J. Symbolic Logic 57 (1987) 916-927.
    • (1987) J. Symbolic Logic , vol.57 , pp. 916-927
    • Buss, S.R.1
  • 10
    • 0001601465 scopus 로고
    • The relative efficiency of propositional proof systems
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    • (1977) J. Symbolic Logic , vol.44 , pp. 36-50
    • Cook, S.A.1    Reckhow, R.A.2
  • 11
    • 0000076101 scopus 로고
    • The intractability of resolution
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    • (1985) Theoret. Comput. Sci. , vol.39 , pp. 297-305
    • Haken, A.1
  • 13
    • 84990673645 scopus 로고
    • Exponential lower bounds to the size of bounded-depth Frege proofs of the pigeonhole principle
    • [12] J. Krajíček, P. Pudlák and A. Woods, Exponential lower bounds to the size of bounded-depth Frege proofs of the pigeonhole principle, Random Structures and Algorithms 7 (1995) 15-39.
    • (1995) Random Structures and Algorithms , vol.7 , pp. 15-39
    • Krajíček, J.1    Pudlák, P.2    Woods, A.3
  • 16
    • 0001893266 scopus 로고
    • Exponential lower bounds for the pigeonhole principle
    • [15] T. Pitassi, P. Beame and R. Impagliazzo, Exponential lower bounds for the pigeonhole principle, Comput. Complexity 3 (1993) 97-140.
    • (1993) Comput. Complexity , vol.3 , pp. 97-140
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  • 17
    • 0001091728 scopus 로고
    • Counting problems in bounded arithmetic
    • Methods in Mathematical Logic: Proc. 6th Latin American Symposium on Mathematical Logic 1983, Springer, Berlin
    • [16] J. Paris and A. Wilkie, Counting problems in bounded arithmetic, in: Methods in Mathematical Logic: Proc. 6th Latin American Symposium on Mathematical Logic 1983, Lecture Notes in Mathematics, Vol. 1130 (Springer, Berlin, 1985) 317-340.
    • (1985) Lecture Notes in Mathematics , vol.1130 , pp. 317-340
    • Paris, J.1    Wilkie, A.2
  • 18
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    • Hard examples for resolution
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    • Urquhart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.