메뉴 건너뛰기




Volumn 22, Issue 4, 2002, Pages 555-574

Read-once branching programs, rectangular proofs of the pigeonhole principle and the transversal calculus

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037000647     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-002-0007-7     Document Type: Article
Times cited : (13)

References (24)
  • 3
    • 0001165953 scopus 로고
    • A time-space trade-off for sorting on a general sequential model of computation
    • A. BORODIN and S. COOK: A time-space trade-off for sorting on a general sequential model of computation, SIAM J. on Computing, 11 (1982), 287-297.
    • (1982) SIAM J. on Computing , vol.11 , pp. 287-297
    • Borodin, A.1    Cook, S.2
  • 4
    • 0000297004 scopus 로고
    • Polynomial size proofs of the propositional pigeonhole principle
    • S. BUSS: Polynomial size proofs of the propositional pigeonhole principle, Journal of Symbolic Logic, 52 (1987), 916-927.
    • (1987) Journal of Symbolic Logic , vol.52 , pp. 916-927
    • Buss, S.1
  • 6
    • 0024140287 scopus 로고
    • Resolution proofs of generalized pigeonhole principle
    • S. BUSS and G. TURÁN: Resolution proofs of generalized pigeonhole principle, Theoretical Computer Science, 62 (1988), 311-317.
    • (1988) Theoretical Computer Science , vol.62 , pp. 311-317
    • Buss, S.1    Turán, G.2
  • 7
    • 0013426724 scopus 로고
    • Determining the stable set number of a graph
    • V. CHVÁTAL: Determining the stable set number of a graph, SIAM J. on Computing, 6 (1977), 1-14.
    • (1977) SIAM J. on Computing , vol.6 , pp. 1-14
    • Chvátal, V.1
  • 8
    • 0024090265 scopus 로고
    • Many hard examples for resolution
    • V. CHVÁTAL and E. SZEMERÉDI: Many hard examples for resolution, Journal of the ACM, 35(4) (1988), 759-768.
    • (1988) Journal of the ACM , vol.35 , Issue.4 , pp. 759-768
    • Chvátal, V.1    Szemerédi, E.2
  • 9
    • 84881072062 scopus 로고
    • A computing procedure for quantification theory
    • M. DAVIS and H. PUTNAM: A computing procedure for quantification theory, Journal of the ACM, 7(3) (1960), 210-215.
    • (1960) Journal of the ACM , vol.7 , Issue.3 , pp. 210-215
    • Davis, M.1    Putnam, H.2
  • 11
    • 0000076101 scopus 로고
    • The intractability or resolution
    • A. HAKEN: The intractability or resolution, Theoretical Computer Science, 39 (1985), 297-308.
    • (1985) Theoretical Computer Science , vol.39 , pp. 297-308
    • Haken, A.1
  • 12
    • 0002527779 scopus 로고    scopus 로고
    • Exponential lower bounds for semantic resolution
    • Proof Complexity and Feasible Arithmetics: DIMACS workshop April 21-24, 1996, (eds.: P. Beame and S. Buss). American Math. Soc.
    • S. JUKNA: Exponential lower bounds for semantic resolution, In: Proof Complexity and Feasible Arithmetics: DIMACS workshop, April 21-24, 1996, DIMACS Series in Dicrete Mathematics and Theoretical Computer Science, (eds.: P. Beame and S. Buss), vol. 39, 163-172. American Math. Soc., 1997.
    • (1997) DIMACS Series in Dicrete Mathematics and Theoretical Computer Science , vol.39 , pp. 163-172
    • Jukna, S.1
  • 15
    • 0003211441 scopus 로고
    • Determining the chromatic number of a graph
    • C. McDIARMID: Determining the chromatic number of a graph, SIAM J. on Computing, 8 (1979), 643-662.
    • (1979) SIAM J. on Computing , vol.8 , pp. 643-662
    • McDiarmid, C.1
  • 16
    • 0013380975 scopus 로고    scopus 로고
    • Russian source
  • 17
    • 0001787711 scopus 로고
    • Lower bounds for branching programs computing characteristic functions of binary codes
    • (in Russian)
    • E. A. Okolnishnikova, Lower bounds for branching programs computing characteristic functions of binary codes, Metody discretnogo analiza, 51 (1991), 61-83 (in Russian).
    • (1991) Metody Discretnogo Analiza , vol.51 , pp. 61-83
    • Okolnishnikova, E.A.1
  • 19
    • 0002736706 scopus 로고
    • Lower bounds for deterministic and nondeterministic branching programs
    • Proceedings of the 8th FCT, New York/Berlin, Springer-Verlag
    • A. RAZBOROV: Lower bounds for deterministic and nondeterministic branching programs, In: Proceedings of the 8th FCT, Lecture Notes in Computer Science, 529, 47-60, New York/Berlin, 1991, Springer-Verlag.
    • (1991) Lecture Notes in Computer Science , vol.529 , pp. 47-60
    • Razborov, A.1
  • 20
    • 84918983692 scopus 로고
    • A machine-oriented logic based on the resolution principle
    • J. A. ROBINSON: A machine-oriented logic based on the resolution principle, Journal of the ACM, 12(1) (1965), 23-41.
    • (1965) Journal of the ACM , vol.12 , Issue.1 , pp. 23-41
    • Robinson, J.A.1
  • 21
    • 0013383305 scopus 로고    scopus 로고
    • Russian source
  • 22
    • 0001340960 scopus 로고    scopus 로고
    • On the complexity of derivations in propositional calculus
    • ed. A. O. Slissenko
    • Engl. translation: G. C. TSEITIN: On the complexity of derivations in propositional calculus, in: Studies in mathematics and mathematical logic, Part II, ed. A. O. Slissenko, 115-125.
    • Studies in Mathematics and Mathematical Logic , Issue.PART II , pp. 115-125
    • Tseitin, G.C.1
  • 23
    • 0023250297 scopus 로고
    • Hard examples for resolution
    • A. URQUHART: Hard examples for resolution, Journal of the ACM, 34(1) (1987), 209-219.
    • (1987) Journal of the ACM , vol.34 , Issue.1 , pp. 209-219
    • Urquhart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.