메뉴 건너뛰기




Volumn 288, Issue 1, 2002, Pages 181-193

On an optimal propositional proof system and the structure of easy subsets of TAUT

Author keywords

Classical propositional logic; Complexity classes; Complexity of computation; Complexity of proofs

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; POLYNOMIALS; SET THEORY; THEOREM PROVING;

EID: 0037048581     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(01)00155-4     Document Type: Conference Paper
Times cited : (26)

References (15)
  • 2
    • 0010434552 scopus 로고
    • Tech. Report No. SOCS-96.1, McGill University
    • S. Buss, Lectures on proof theory. Tech. Report No. SOCS-96.1, McGill University, 1966.
    • (1966) Lectures on proof theory
    • Buss, S.1
  • 4
    • 0001601465 scopus 로고
    • The relative efficiency of propositional proof systems
    • S. Cook, R. Reckhow, The relative efficiency of propositional proof systems. J. Symbolic Logic. 44:1979;36-50.
    • (1979) J. Symbolic Logic , vol.44 , pp. 36-50
    • Cook, S.1    Reckhow, R.2
  • 5
    • 0024019083 scopus 로고
    • Complexity classes without machines: On complete languages for UP
    • J. Hartmanis, L. Hemachandra, Complexity classes without machines: on complete languages for UP. Theoret. Comput. Sci. 58:1988;129-142.
    • (1988) Theoret. Comput. Sci. , vol.58 , pp. 129-142
    • Hartmanis, J.1    Hemachandra, L.2
  • 6
    • 84956240313 scopus 로고
    • On complete problems for NP ∩ co-NP
    • Proc. 12th Internat. Colloq. on Automata, Languages and Programming, Springer, Berlin
    • J. Hartmanis, N. Immerman, On complete problems for NP ∩ co-NP, in: Proc. 12th Internat. Colloq. on Automata, Languages and Programming, Lecture Notes in Computer Science, vol. 194, Springer, Berlin, 1985, pp. 250-259.
    • (1985) Lecture Notes in Computer Science , vol.194 , pp. 250-259
    • Hartmanis, J.1    Immerman, N.2
  • 7
    • 85036502216 scopus 로고
    • Some connections between presentability of complexity classes and the power of formal systems of reasoning
    • Proc. Mathematical Foundations of Computer Science, Springer, Berlin
    • W. Kowalczyk, Some connections between presentability of complexity classes and the power of formal systems of reasoning, in: Proc. Mathematical Foundations of Computer Science, Lecture Notes in Computer Science, vol. 176, Springer, Berlin, 1988, pp. 364-369.
    • (1988) Lecture Notes in Computer Science , vol.176 , pp. 364-369
    • Kowalczyk, W.1
  • 8
    • 0010513146 scopus 로고    scopus 로고
    • Complete problems for promise classes by optimal proof systems for test sets
    • IEEE Computer Soc. Press, Silver Spring, MD
    • J. Köbler, J. Messner, Complete problems for promise classes by optimal proof systems for test sets, in: Proc. 13th Ann. IEEE Conf. on Computational Complexity, IEEE Computer Soc. Press, Silver Spring, MD, 1998, pp. 132-140.
    • (1998) Proc. 13th Ann. IEEE Conf. on Computational Complexity , pp. 132-140
    • Köbler, J.1    Messner, J.2
  • 9
    • 0001579141 scopus 로고
    • Propositional proof systems, the consistency of first order theories and the complexity of computations
    • J. Krajíček, P. Pudlák, Propositional proof systems, the consistency of first order theories and the complexity of computations. J. Symbolic Logic. 54:1989;1063-1079.
    • (1989) J. Symbolic Logic , vol.54 , pp. 1063-1079
    • Krajíček, J.1    Pudlák, P.2
  • 10
    • 0001361440 scopus 로고
    • On the structure of sets in NP and other complexity classes
    • L. Landweber, R. Lipton, E. Robertson, On the structure of sets in NP and other complexity classes. Theoret. Comput. Sci. 15:1981;181-200.
    • (1981) Theoret. Comput. Sci. , vol.15 , pp. 181-200
    • Landweber, L.1    Lipton, R.2    Robertson, E.3
  • 11
    • 84957074596 scopus 로고    scopus 로고
    • On optimal algoritms and optimal proof
    • Proc. 16th Symp. on Theoretical Aspects of Computer Science, Springer, Berlin
    • J. Messner, On optimal algoritms and optimal proof systems, in: Proc. 16th Symp. on Theoretical Aspects of Computer Science, Lecture Notes in Computer Science, vol. 1563, Springer, Berlin, 1999.
    • (1999) Lecture Notes in Computer Science , vol.1563
    • Messner, J.1
  • 12
    • 78649822941 scopus 로고    scopus 로고
    • Optimal proof systems for propositional logic and complete sets
    • Proc. 15th Symp. on Theoretical Aspects of Computer Science, Springer, Berlin
    • J. Messner, J. Torán, Optimal proof systems for propositional logic and complete sets, in: Proc. 15th Symp. on Theoretical Aspects of Computer Science, Lecture Notes in Computer Science, vol. 1373, Springer, Berlin, 1998, pp. 477-487.
    • (1998) Lecture Notes in Computer Science , vol.1373 , pp. 477-487
    • Messner, J.1    Torán, J.2
  • 14
    • 33749908081 scopus 로고
    • Classes of recursively enumerable sets and their decision problems
    • H. Rice, Classes of recursively enumerable sets and their decision problems. Trans. Amer. Math. Soc. 74:1953;358-366.
    • (1953) Trans. Amer. Math. Soc. , vol.74 , pp. 358-366
    • Rice, H.1
  • 15
    • 84958766215 scopus 로고    scopus 로고
    • On an optimal quantified propositional proof system and a complete language for N ∩ co-NP
    • Proc. 11th Internat. Symp. on Fundamentals of Computing Theory, Springer, Berlin
    • Z. Sadowski, On an optimal quantified propositional proof system and a complete language for NP ∩ co-NP, in: Proc. 11th Internat. Symp. on Fundamentals of Computing Theory, Lecture Notes in Computer Science, vol. 1279, Springer, Berlin, 1997, pp. 423-428.
    • (1997) Lecture Notes in Computer Science , vol.1279 , pp. 423-428
    • Sadowski, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.