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Volumn 37, Issue 4, 1996, Pages 523-545

Simplified Lower Bounds for Propositional Proofs

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EID: 0002842462     PISSN: 00294527     EISSN: 19390726     Source Type: Journal    
DOI: 10.1305/ndjfl/1040046140     Document Type: Article
Times cited : (30)

References (17)
  • 10
    • 84990673645 scopus 로고
    • Exponential lower bound to the size of bounded depth Frege proofs of the pigeonhole principle
    • Krajíek, J., P. Pudlák, and A. Woods, “Exponential lower bound to the size of bounded depth Frege proofs of the pigeonhole principle,” Random Structures and Algorithms, vol. 7 (1995), pp. 15-39.
    • (1995) Random Structures and Algorithms , vol.7 , pp. 15-39
    • Krajíek, J.1    Pudlák, P.2    Woods, A.3
  • 11
    • 34250960190 scopus 로고
    • Zur Hilbertschen Beweistheorie
    • Von Neumann, J., “Zur Hilbertschen Beweistheorie,” Mathematische Zeitschrift, vol. 26 (1926), pp. 1-46.
    • (1926) Mathematische Zeitschrift , vol.26 , pp. 1-46
    • Von Neumann, J.1
  • 12
    • 0001893266 scopus 로고
    • Exponential lower bounds for the pigeonhole principle
    • Pitass, T., P. Beame, and R. Impagliazzo, “Exponential lower bounds for the pigeonhole principle,” Computational Complexity, vol. 3 (1993), pp. 97-140.
    • (1993) Computational Complexity , vol.3 , pp. 97-140
    • Pitass, T.1    Beame, P.2    Impagliazzo, R.3
  • 13
    • 0002695727 scopus 로고
    • Bounded arithmetic and lower bounds in Boolean complexity
    • in, P. Clote and J. Remmel, Birkhäuser, Boston
    • Razborov, A. A., “Bounded arithmetic and lower bounds in Boolean complexity,” pp. 344-386 in Feasible Mathematics II, edited by P. Clote and J. Remmel, Birkhäuser, Boston, 1995.
    • (1995) Feasible Mathematics II , pp. 344-386
    • Razborov, A.A.1
  • 15
    • 0001340960 scopus 로고
    • edited by A. O. Slisenko, 1970 (reprinted in Automation of Reasoning Vol. 2, edited by J. Siekmann and G. Wrightson, Springer-Verlag, New York, 1983, pp. 466-483)
    • Tseitin, G. S., “On the complexity of derivation in propositional calculus,” pp. 115-125 in Studies in Constructive Mathematics and Mathematical Logic, Part 2, edited by A. O. Slisenko, 1970 (reprinted in Automation of Reasoning Vol. 2, edited by J. Siekmann and G. Wrightson, Springer-Verlag, New York, 1983, pp. 466-483).
    • (1983) On the Complexity of Derivation in Propositional Calculus , pp. 115-125
    • Tseitin, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.