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Volumn 1373 LNCS, Issue , 1998, Pages 477-487

Optimal proof systems for propositional logic and complete sets

Author keywords

[No Author keywords available]

Indexed keywords

COMPLETE SETS; COMPLEXITY CLASS; EXPONENTIAL TIME; INFORMATION CONTENTS; POLYNOMIAL-TIME COMPUTABLE FUNCTIONS; PROOF SYSTEM; PROPOSITIONAL LOGIC; RELATIVE STRENGTH; SUFFICIENT CONDITIONS;

EID: 78649822941     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/BFb0028583     Document Type: Conference Paper
Times cited : (16)

References (17)
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    • Allender, E.1
  • 3
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    • Tech Report No. SOCS-96.1, McGill University
    • S. Buss. Lectures on Proof Theory. Tech Report No. SOCS-96.1, McGill University, 1996. (http://www.cs.mcgill.ca/~denis/TR.96.1.ps.gz)
    • (1996) Lectures on Proof Theory
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  • 5
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    • The relative efficiency of propositional proof systems
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    • Cook, S.1    Reckhow, R.2
  • 7
    • 0024019083 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, 58, pp. 129-142, 1988.
    • (1988) Theoretical Computer Science , vol.58 , pp. 129-142
    • Hartmanis, J.1    Hemachandra, L.2
  • 8
    • 0020848740 scopus 로고
    • Computation times of NP sets of different densities
    • J. Hartmanis and J. Yesha. Computation times of NP sets of different densities. Theoretical Computer Science, 34, pp. 17-32, 1984.
    • (1984) Theoretical Computer Science , vol.34 , pp. 17-32
    • Hartmanis, J.1    Yesha, J.2
  • 12
    • 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, pp. 1063-1079, 1989.
    • (1989) Journal of Symbolic Logic , vol.54 , pp. 1063-1079
    • Krajíček, J.1    Pudlák, P.2
  • 13
    • 0011503667 scopus 로고
    • On the length of proofs of finitistic consistency statements in first order theories
    • J. B. Paris et al., editors, North-Holland, Amsterdam
    • P. Pudlák. On the length of proofs of finitistic consistency statements in first order theories. Logic Colloquium'84 (J. B. Paris et al., editors), North-Holland, Amsterdam, pp. 165-196, 1986
    • (1986) Logic Colloquium'84 , pp. 165-196
    • Pudlák, P.1
  • 14
    • 0037775875 scopus 로고
    • Technical Report RS-94-36, Basic Research in Computer Science Center, Aarhus
    • A. A. Razborov. On provably disjoint NP-pairs. Technical Report RS-94-36, Basic Research in Computer Science Center, Aarhus, 1994.
    • (1994) On Provably Disjoint NP-pairs
    • Razborov, A.A.1
  • 15
    • 0027912841 scopus 로고
    • On random reductions from sparse sets to tally sets
    • U. Schöning. On random reductions from sparse sets to tally sets. Information Processing Letters, 46, pp. 239-241, 1993.
    • (1993) Information Processing Letters , vol.46 , pp. 239-241
    • Schöning, U.1
  • 16
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    • The complexity of propositional proofs
    • A. Urquhart. The complexity of propositional proofs. Bulletin of Symbolic Logic 1, pp. 425-467, 1995.
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    • Urquhart, A.1
  • 17
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    • The relative complexity of checking and evaluating
    • L. Valiant. The relative complexity of checking and evaluating. Information Processing Letters, 5, pp. 20-23, 1976.
    • (1976) Information Processing Letters , vol.5 , pp. 20-23
    • Valiant, L.1


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