메뉴 건너뛰기




Volumn 340, Issue 3, 2005, Pages 496-513

Subtractive reductions and complete problems for counting complexity classes

Author keywords

Complete problems; Counting complexity; Subtractive reductions

Indexed keywords

COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; PROBLEM SOLVING; SET THEORY;

EID: 23844449132     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2005.03.012     Document Type: Conference Paper
Times cited : (84)

References (22)
  • 1
    • 0000443472 scopus 로고
    • The complexity of model checking for circumscriptive formulae
    • M. Cadoli The complexity of model checking for circumscriptive formulae Inform. Process. Lett. 44 3 1992 113 118
    • (1992) Inform. Process. Lett. , vol.44 , Issue.3 , pp. 113-118
    • Cadoli, M.1
  • 3
    • 0004459681 scopus 로고
    • The satanic notations: Counting classes beyond #P and other definitional adventures
    • L.A. Hemaspaandra, and H. Vollmer The satanic notations: counting classes beyond # P and other definitional adventures SIGACT News 26 1 1995 2 13
    • (1995) SIGACT News , vol.26 , Issue.1 , pp. 2-13
    • Hemaspaandra, L.A.1    Vollmer, H.2
  • 4
    • 0006984691 scopus 로고    scopus 로고
    • On the complexity of counting the Hilbert basis of a linear Diophantine system
    • H. Ganzinger, D. McAllester, A. Voronkov (Eds.),Proc. 6th Internat. Conf. on Logic for Programming and Automated Reasoning (LPAR'99), Tbilisi (Republic of Georgia) Springer, Berlin, September
    • M. Hermann, L. Juban, P.G. Kolaitis, On the complexity of counting the Hilbert basis of a linear Diophantine system, in: H. Ganzinger, D. McAllester, A. Voronkov (Eds.), Proc. 6th Internat. Conf. on Logic for Programming and Automated Reasoning (LPAR'99), Tbilisi (Republic of Georgia), Lecture Notes in Computer Science (in Artificial Intelligence), Vol. 1705, Springer, Berlin, September 1999, pp. 13-32.
    • (1999) Lecture Notes in Computer Science (in Artificial Intelligence) , vol.1705 , pp. 13-32
    • Hermann, M.1    Juban, L.2    Kolaitis, P.G.3
  • 7
    • 0008573894 scopus 로고
    • Hard enumeration problems in geometry and combinatorics
    • N. Linial Hard enumeration problems in geometry and combinatorics SIAM J. Algebraic Discrete Methods 7 2 1986 331 335
    • (1986) SIAM J. Algebraic Discrete Methods , vol.7 , Issue.2 , pp. 331-335
    • Linial, N.1
  • 8
    • 37349044608 scopus 로고
    • Circumscription - A form of non-monotonic reasoning
    • J. McCarthy Circumscription - a form of non-monotonic reasoning Artif. Intell. 13 1-2 1980 27 39
    • (1980) Artif. Intell. , vol.13 , Issue.1-2 , pp. 27-39
    • McCarthy, J.1
  • 9
    • 0000321801 scopus 로고
    • A complexity theory for feasible closure properties
    • M. Ogiwara, and L.A. Hemachandra A complexity theory for feasible closure properties J. Comput. System Sci. 46 3 1993 295 325
    • (1993) J. Comput. System Sci. , vol.46 , Issue.3 , pp. 295-325
    • Ogiwara, M.1    Hemachandra, L.A.2
  • 10
    • 0000166629 scopus 로고
    • The complexity of counting cuts and of computing the probability that a graph is connected
    • J.S. Provan, and M.O. Ball The complexity of counting cuts and of computing the probability that a graph is connected SIAM J. Comput. 12 4 1983 777 788
    • (1983) SIAM J. Comput. , vol.12 , Issue.4 , pp. 777-788
    • Provan, J.S.1    Ball, M.O.2
  • 14
    • 44649167785 scopus 로고
    • The polynomial-time hierarchy
    • L.J. Stockmeyer The polynomial-time hierarchy Theoret. Comput. Sci. 3 1 1976 1 22
    • (1976) Theoret. Comput. Sci. , vol.3 , Issue.1 , pp. 1-22
    • Stockmeyer, L.J.1
  • 15
    • 0342313347 scopus 로고
    • Ph.D. Thesis, Tokyo Institute of Technology, Department of Computer Science, Tokyo, Japan
    • S. Toda, Computational complexity of counting complexity classes, Ph.D. Thesis, Tokyo Institute of Technology, Department of Computer Science, Tokyo, Japan, 1991.
    • (1991) Computational Complexity of Counting Complexity Classes
    • Toda, S.1
  • 16
    • 0026879923 scopus 로고
    • Polynomial-time 1-Turing reductions from #PH to #P
    • S. Toda, and O. Watanabe Polynomial-time 1-Turing reductions from #PH to #P Theoret. Comput. Sci. 100 1 1992 205 221
    • (1992) Theoret. Comput. Sci. , vol.100 , Issue.1 , pp. 205-221
    • Toda, S.1    Watanabe, O.2
  • 17
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • L.G. Valiant The complexity of computing the permanent Theoret. Comput. Sci. 8 2 1979 189 201
    • (1979) Theoret. Comput. Sci. , vol.8 , Issue.2 , pp. 189-201
    • Valiant, L.G.1
  • 18
    • 0000142982 scopus 로고
    • The complexity of enumeration and reliability problems
    • L.G. Valiant The complexity of enumeration and reliability problems SIAM J. Comput. 8 3 1979 410 421
    • (1979) SIAM J. Comput. , vol.8 , Issue.3 , pp. 410-421
    • Valiant, L.G.1
  • 19
    • 0022733806 scopus 로고
    • The complexity of combinatorial problems with succinct input representation
    • K.W. Wagner The complexity of combinatorial problems with succinct input representation Acta Inform. 23 3 1986 325 356
    • (1986) Acta Inform. , vol.23 , Issue.3 , pp. 325-356
    • Wagner, K.W.1
  • 20
    • 0022863413 scopus 로고
    • Some observations on the connection between counting and recursion
    • K.W. Wagner Some observations on the connection between counting and recursion Theoret. Comput. Sci. 47 3 1986 131 147
    • (1986) Theoret. Comput. Sci. , vol.47 , Issue.3 , pp. 131-147
    • Wagner, K.W.1
  • 21
    • 0002499893 scopus 로고
    • Complete sets and the polynomial-time hierarchy
    • C. Wrathall Complete sets and the polynomial-time hierarchy Theoret. Comput. Sci. 3 1 1976 23 33
    • (1976) Theoret. Comput. Sci. , vol.3 , Issue.1 , pp. 23-33
    • Wrathall, C.1
  • 22
    • 0012523393 scopus 로고
    • #P-completeness via many-one reductions
    • V. Zankó #P-completeness via many-one reductions Internat. J. Found. Comput. Sci. 2 1 1991 77 82
    • (1991) Internat. J. Found. Comput. Sci. , vol.2 , Issue.1 , pp. 77-82
    • Zankó, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.