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Volumn 1770, Issue , 2000, Pages 407-418

Optimal proof systems and sparse sets

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SCIENCE; COMPUTERS;

EID: 84944054056     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-46541-3_34     Document Type: Conference Paper
Times cited : (11)

References (16)
  • 2
    • 0024088319 scopus 로고
    • On sets truth-table reducible to sparse sets
    • R. Book and K. Ko. On sets truth-table reducible to sparse sets. SIAM Journal on Computing, 17(5):903-919, 1988.
    • (1988) SIAM Journal on Computing , vol.17 , Issue.5 , pp. 903-919
    • Book, R.1    Ko, K.2
  • 3
    • 0001601465 scopus 로고
    • The relative effciency of propositional proof systems
    • S. Cook and R. Reckhow. The relative effciency of propositional proof systems. Journal of Symbolic Logic, 44:36-50, 1979.
    • (1979) Journal of Symbolic Logic , vol.44 , pp. 36-50
    • Cook, S.1    Reckhow, R.2
  • 5
    • 84944059814 scopus 로고
    • Complexity classes without machines: On complete languages for UP
    • J. Hartmanis and L. Hemachandra. Complexity classes without machines: On complete languages for UP. Theoretical Computer Science, 34:17-32, 1984.
    • (1984) Theoretical Computer Science , vol.34 , pp. 17-32
    • Hartmanis, J.1    Hemachandra, L.2
  • 7
    • 0020848740 scopus 로고
    • Computation times of NP sets of different densities
    • November
    • J. Hartmanis and Y. Yesha. Computation times of NP sets of different densities. Theoretical Computer Science, 34(1-2):17-32, November 1984.
    • (1984) Theoretical Computer Science , vol.34 , Issue.1-1 , pp. 17-32
    • Hartmanis, J.1    Yesha, Y.2
  • 8
    • 0024645748 scopus 로고
    • Distinguishing conjunctive and disjunctive reducibilities by sparse sets
    • K. Ko. Distinguishing conjunctive and disjunctive reducibilities by sparse sets. Information and Computation, 81(1):62-87, 1989.
    • (1989) Information and Computation , vol.81 , Issue.1 , pp. 62-87
    • Ko, K.1
  • 9
    • 0001579141 scopus 로고
    • Propositional proof systems, the consistency of first order theories and the complexity of computations
    • J. Krajíček and P. Pudlák. Propositional proof systems, the consistency of first order theories and the complexity of computations. Journal of Symbolic Logic, 54:1063-1079, 1989.
    • (1989) Journal of Symbolic Logic , vol.54 , pp. 1063-1079
    • Krajíček, J.1    Pudlák, P.2
  • 10
    • 0032631765 scopus 로고    scopus 로고
    • Graph nonisomorhism has subexponential size proofs unless the polynomial-time hierarchy collapses
    • ACM, New York
    • A. Klivans and D. van Melkebeek. Graph nonisomorhism has subexponential size proofs unless the polynomial-time hierarchy collapses. In Proceedings of the 31st ACM Symposium on the Theory of Computing, pages 659-667. ACM, New York, 1999.
    • (1999) Proceedings of the 31St ACM Symposium on the Theory of Computing , pp. 659-667
    • Klivans, A.1    Van Melkebeek, D.2
  • 12
    • 78649822941 scopus 로고    scopus 로고
    • Optimal proof systems for propositional logic and complete sets
    • Lecture Notes in Computer Science, Springer
    • J. Messner and J. Torán. Optimal proof systems for propositional logic and complete sets. In Proceedings of the 15th Symposium on Theoretical Aspects of Computer Science, volume 1373 of Lecture Notes in Computer Science, pages 477-487. Springer, 1998.
    • (1998) Proceedings of the 15Th Symposium on Theoretical Aspects of Computer Science , vol.1373 , pp. 477-487
    • Messner, J.1    Torán, J.2
  • 13
    • 0027266748 scopus 로고
    • Relativized limitations of left set technique and closure classes of sparse sets
    • IEEE, New York
    • S. Saluja. Relativized limitations of left set technique and closure classes of sparse sets. In Proceedings of the 8th IEEE Structure in Complexity Theory Conference, pages 215-223. IEEE, New York, 1993.
    • (1993) Proceedings of the 8Th IEEE Structure in Complexity Theory Conference , pp. 215-223
    • Saluja, S.1
  • 14
    • 0027912841 scopus 로고
    • On random reductions from sparse sets to tally sets
    • July
    • U. Schöning. On random reductions from sparse sets to tally sets. Information Processing Letters, 46(5):239-241, July 1993.
    • (1993) Information Processing Letters , vol.46 , Issue.5 , pp. 239-241
    • Schöning, U.1
  • 15
    • 84976764290 scopus 로고
    • Separating nondeterministic time complexity classes
    • J. Seiferas, M. Fischer, and A. Meyer. Separating nondeterministic time complexity classes. Journal of the ACM, 25(1):146-167, 1978.
    • (1978) Journal of the ACM , vol.25 , Issue.1 , pp. 146-167
    • Seiferas, J.1    Fischer, M.2    Meyer, A.3
  • 16
    • 0000589271 scopus 로고
    • A Turing machine time hierarchy
    • S. Žàk. A Turing machine time hierarchy. Theoretical Computer Science, 26(3):327-333, 1983.
    • (1983) Theoretical Computer Science , vol.26 , Issue.3 , pp. 327-333
    • Žàk, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.