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Volumn 303, Issue 1, 2003, Pages 233-243

Resolution lower bounds for the weak functional pigeonhole principle

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; GRAPH THEORY; THEOREM PROVING;

EID: 0038717054     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(02)00453-X     Document Type: Conference Paper
Times cited : (32)

References (21)
  • 2
    • 0030396103 scopus 로고    scopus 로고
    • Simplified and improved resolution lower bounds
    • P. Beame, T. Pitassi, Simplified and improved resolution lower bounds, in: Proc. 37th IEEE FOCS, 1996, pp. 274-282.
    • (1996) Proc. 37th IEEE FOCS , pp. 274-282
    • Beame, P.1    Pitassi, T.2
  • 3
    • 0038442771 scopus 로고    scopus 로고
    • Propositional proof complexity: Past, present and future
    • Electronic Colloquium on Computational Complexity
    • P. Beame, T. Pitassi, Propositional proof complexity: past, present and future, Technical Report TR98-067, Electronic Colloquium on Computational Complexity, 1998.
    • (1998) Technical Report , vol.TR98-067
    • Beame, P.1    Pitassi, T.2
  • 4
    • 0000802475 scopus 로고    scopus 로고
    • Short proofs are narrow - Resolution made simple
    • Ben-Sasson E., Wigderson A. Short proofs are narrow - resolution made simple. J. ACM. 48(2):2001;149-169.
    • (2001) J. ACM , vol.48 , Issue.2 , pp. 149-169
    • Ben-Sasson, E.1    Wigderson, A.2
  • 6
    • 84957616496 scopus 로고    scopus 로고
    • Resolution and the weak pigeonhole principle
    • Proc. CSL97, New York, Berlin: Springer
    • Buss S., Pitassi T. Resolution and the weak pigeonhole principle. Proc. CSL97. Lecture Notes in Computer Science. Vol. 1414:1997;149-156 Springer, New York, Berlin.
    • (1997) Lecture Notes in Computer Science , vol.1414 , pp. 149-156
    • Buss, S.1    Pitassi, T.2
  • 7
    • 0024140287 scopus 로고
    • Resolution proofs of generalized pigeonhole principle
    • Buss S., Turán G. Resolution proofs of generalized pigeonhole principle. Theoret. Comput. Sci. 62:1988;311-317.
    • (1988) Theoret. Comput. Sci. , vol.62 , pp. 311-317
    • Buss, S.1    Turán, G.2
  • 8
    • 0024090265 scopus 로고    scopus 로고
    • Many hard examples for resolution
    • Chvátal V., Szemerédi E. Many hard examples for resolution. J. ACM. 35(4):1998;759-768.
    • (1998) J. ACM , vol.35 , Issue.4 , pp. 759-768
    • Chvátal, V.1    Szemerédi, E.2
  • 9
    • 0029720065 scopus 로고    scopus 로고
    • Using the Groebner basis algorithm to find proofs of unsatisfiability
    • M. Clegg, J. Edmonds, R. Impagliazzo, Using the Groebner basis algorithm to find proofs of unsatisfiability, in: Proc. 28th ACM STOC, 1996, pp. 174-183.
    • (1996) Proc. 28th ACM STOC , pp. 174-183
    • Clegg, M.1    Edmonds, J.2    Impagliazzo, R.3
  • 10
    • 84881072062 scopus 로고
    • A computing procedure for quantification theory
    • Davis M., Putnam H. A computing procedure for quantification theory. J. ACM. 7(3):1960;210-215.
    • (1960) J. ACM , vol.7 , Issue.3 , pp. 210-215
    • Davis, M.1    Putnam, H.2
  • 11
    • 0000076101 scopus 로고
    • The intractability or resolution
    • Haken A. The intractability or resolution. Theoret. Comput. Sci. 39:1985;297-308.
    • (1985) Theoret. Comput. Sci. , vol.39 , pp. 297-308
    • Haken, A.1
  • 12
    • 0002527779 scopus 로고    scopus 로고
    • Exponential lower bounds for semantic resolution
    • P. Beame, & S. Buss. Proof Complexity and Feasible Arithmetics: DIMACS Workshop, April 21-24, 1996, Providence, RI: American Mathematical Society
    • Jukna S. Exponential lower bounds for semantic resolution. Beame P., Buss S. Proof Complexity and Feasible Arithmetics: DIMACS Workshop, April 21-24, 1996. DIMACS Series in Discrete Mathematics and Theoretical Computer Science. Vol. 39:1997;163-172 American Mathematical Society, Providence, RI.
    • (1997) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.39 , pp. 163-172
    • Jukna, S.1
  • 14
    • 0004024270 scopus 로고    scopus 로고
    • Resolution lower bounds for the weak pigeonhole principle
    • Electronic Colloquium on Computational Complexity
    • R. Raz, Resolution lower bounds for the weak pigeonhole principle, Technical Report TR01-021, Electronic Colloquium on Computational Complexity, 2001.
    • (2001) Technical Report , vol.TR01-021
    • Raz, R.1
  • 15
    • 84947723577 scopus 로고    scopus 로고
    • Lower bounds for propositional proofs and independence results in bounded arithmetic
    • F. Meyer auf der Heide, & B. Monien. Proc. 23rd ICALP, New York, Berlin: Springer
    • Razborov A. Lower bounds for propositional proofs and independence results in bounded arithmetic. Meyer auf der Heide F., Monien B. Proc. 23rd ICALP. Lecture Notes in Computer Science. Vol. 1099:1996;48-62 Springer, New York, Berlin.
    • (1996) Lecture Notes in Computer Science , vol.1099 , pp. 48-62
    • Razborov, A.1
  • 16
    • 0003201006 scopus 로고    scopus 로고
    • Improved resolution lower bounds for the weak pigeonhole principle
    • Electronic Colloquium on Computational Complexity
    • A. Razborov, Improved resolution lower bounds for the weak pigeonhole principle, Technical Report TR01-055, Electronic Colloquium on Computational Complexity, 2001, Available at ftp://ftp.eccc.uni-trier.de/pub/eccc/reports/2001/TR01-055/index.html.
    • (2001) Technical Report , vol.TR01-055
    • Razborov, A.1
  • 18
    • 0030642913 scopus 로고    scopus 로고
    • Read-once branching programs, rectangular proofs of the pigeonhole principle and the transversal calculus
    • A. Razborov, A. Wigderson, A. Yao, Read-once branching programs, rectangular proofs of the pigeonhole principle and the transversal calculus, in: Proc. 29th ACM Symp. on Theory of Computing, 1997, pp. 739-748.
    • (1997) Proc. 29th ACM Symp. on Theory of Computing , pp. 739-748
    • Razborov, A.1    Wigderson, A.2    Yao, A.3
  • 19
    • 84918983692 scopus 로고
    • A machine-oriented logic based on the resolution principle
    • Robinson J.A. A machine-oriented logic based on the resolution principle. J. ACM. 12(1):1965;23-41.
    • (1965) J. ACM , vol.12 , Issue.1 , pp. 23-41
    • Robinson, J.A.1
  • 21
    • 0023250297 scopus 로고
    • Hard examples for resolution
    • Urquhart A. Hard examples for resolution. J. ACM. 34(1):1987;209-219.
    • (1987) J. ACM , vol.34 , Issue.1 , pp. 209-219
    • Urquhart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.