메뉴 건너뛰기




Volumn 37, Issue 5, 2007, Pages 1674-1701

The complexity of quantified constraint satisfaction: Collapsibility, sink algebras, and the three-element case

Author keywords

Computational complexity; Constraint satisfaction; Quantified satisfiability; Universal algebra

Indexed keywords

ALGEBRA; BOOLEAN FUNCTIONS; COMPUTER OPERATING PROCEDURES; LINGUISTICS; QUERY LANGUAGES; STEELMAKING;

EID: 49049086750     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/060668572     Document Type: Article
Times cited : (42)

References (32)
  • 1
    • 0001548856 scopus 로고
    • A linear-time algorithm for testing the truth of certain quantified Boolean formulas
    • B. ASPVALL, M. F. PLASS, AND R. E. TARJAN, A linear-time algorithm for testing the truth of certain quantified Boolean formulas, Inform. Process, Lett., 8 (1979), pp. 121-123.
    • (1979) Inform. Process, Lett , vol.8 , pp. 121-123
    • ASPVALL, B.1    PLASS, M.F.2    TARJAN, R.E.3
  • 3
    • 35248889949 scopus 로고    scopus 로고
    • Quantified constraints: Algorithms and, complexity
    • Computer Science Logic, Springer-Verlag, Berlin
    • F. BÖRNER, A. BULATOV, A. KROKHIN, AND P. JEAVONS, Quantified constraints: Algorithms and, complexity, in Computer Science Logic, Lecture Notes in Comput. Sci. 2803, Springer-Verlag, Berlin, 2003, pp. 58-70.
    • (2003) Lecture Notes in Comput. Sci , vol.2803 , pp. 58-70
    • BÖRNER, F.1    BULATOV, A.2    KROKHIN, A.3    JEAVONS, P.4
  • 4
    • 0012680913 scopus 로고    scopus 로고
    • Mal'tsev Constraints Are Tractable
    • Technical report PRG-RR-02-05, Oxford University, Oxford, UK
    • A. BULATOV, Mal'tsev Constraints Are Tractable, Technical report PRG-RR-02-05, Oxford University, Oxford, UK, 2002.
    • (2002)
    • BULATOV, A.1
  • 6
    • 33750059981 scopus 로고    scopus 로고
    • A simple algorithm for Mal'tsev constraints
    • A. BULATOV AND V. DALMAU, A simple algorithm for Mal'tsev constraints, SIAM J. Comput., 36 (2006), pp. 16-27.
    • (2006) SIAM J. Comput , vol.36 , pp. 16-27
    • BULATOV, A.1    DALMAU, V.2
  • 7
    • 20544439895 scopus 로고    scopus 로고
    • Classifying the complexity of constraints using finite algebras
    • A. BULATOV, P. JEAVONS, AND A. KROKHIN, Classifying the complexity of constraints using finite algebras, SIAM J. Comput., 34 (2005), pp. 720-742.
    • (2005) SIAM J. Comput , vol.34 , pp. 720-742
    • BULATOV, A.1    JEAVONS, P.2    KROKHIN, A.3
  • 9
    • 33745203220 scopus 로고    scopus 로고
    • A dichotomy theorem for constraint satisfaction problems on a 3-element set
    • A. A. BULATOV, A dichotomy theorem for constraint satisfaction problems on a 3-element set, J. ACM, 53 (2006), pp. 66-120.
    • (2006) J. ACM , vol.53 , pp. 66-120
    • BULATOV, A.A.1
  • 10
    • 35048873286 scopus 로고    scopus 로고
    • H. CHEN, Quantified constraint satisfaction and, 2-semilattice polymorphisms, in Principles and Practice of Constraint Programming (CP 2004), Lecture Notes in Comput. Sci. 3258, Springer-Verlag, Berlin, 2004, pp. 168-181.
    • H. CHEN, Quantified constraint satisfaction and, 2-semilattice polymorphisms, in Principles and Practice of Constraint Programming (CP 2004), Lecture Notes in Comput. Sci. 3258, Springer-Verlag, Berlin, 2004, pp. 168-181.
  • 12
    • 0038245652 scopus 로고    scopus 로고
    • Technical report LSI-97-43-R, Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Barcelona
    • V. DALMAU, Some Dichotomy Theorems on Constant-free Quantified Boolean Formulas, Technical report LSI-97-43-R, Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Barcelona, 1997.
    • (1997) Some Dichotomy Theorems on Constant-free Quantified Boolean Formulas
    • DALMAU, V.1
  • 14
  • 15
    • 84994608759 scopus 로고    scopus 로고
    • Generalized majority-minority operations are tractable
    • 14 pp
    • V. DALMAU, Generalized majority-minority operations are tractable, Log. Methods Comput. Sci., 2 (2006), 14 pp.
    • (2006) Log. Methods Comput. Sci , vol.2
    • DALMAU, V.1
  • 17
    • 0032057865 scopus 로고    scopus 로고
    • The computational structure of monotone monadic SNP and constraint satisfaction: A study through datalog and group theory
    • T. FEDER AND M. Y. VARDI, The computational structure of monotone monadic SNP and constraint satisfaction: A study through datalog and group theory, SIAM J. Comput., 28 (1998), pp. 57-104.
    • (1998) SIAM J. Comput , vol.28 , pp. 57-104
    • FEDER, T.1    VARDI, M.Y.2
  • 20
    • 0001110897 scopus 로고    scopus 로고
    • On the algebraic structure of combinatorial problems
    • P. JEAVONS, On the algebraic structure of combinatorial problems, Theoret. Comput. Sci., 200 (1998), pp. 185-204.
    • (1998) Theoret. Comput. Sci , vol.200 , pp. 185-204
    • JEAVONS, P.1
  • 22
    • 0031176779 scopus 로고    scopus 로고
    • Closure properties of constraints
    • P. G. JEAVONS, D. A. COHEN, AND M. GYSSENS, Closure properties of constraints, J. ACM, 44 (1997), pp. 527-548.
    • (1997) J. ACM , vol.44 , pp. 527-548
    • JEAVONS, P.G.1    COHEN, D.A.2    GYSSENS, M.3
  • 23
    • 49049101523 scopus 로고
    • On the computational complexity of quantified Horn clauses
    • Proceedings of the First Workshop on Computer Science Logic, Springer-Verlag, Berlin
    • M. KARPINSKI H. KLEINE BÜNING, AND P. H. SCHMITT, On the computational complexity of quantified Horn clauses, in Proceedings of the First Workshop on Computer Science Logic, Lecture Notes in Comput. Sci. 329, Springer-Verlag, Berlin, 1987, pp. 129-137.
    • (1987) Lecture Notes in Comput. Sci , vol.329 , pp. 129-137
    • KARPINSKI, M.1    KLEINE BÜNING, H.2    SCHMITT, P.H.3
  • 24
    • 84962311347 scopus 로고    scopus 로고
    • On tractability and congruence distributivity
    • 20 pp
    • E. KISS AND M. VALERIOTE, On tractability and congruence distributivity, Log. Methods Comput. Sci., 3 (2007), 20 pp.
    • (2007) Log. Methods Comput. Sci , vol.3
    • KISS, E.1    VALERIOTE, M.2
  • 26
    • 0034295721 scopus 로고    scopus 로고
    • PH. G. KOLAITIS AND M. Y. VARDI, Conjunctive-query containment and constraint satisfaction, J. Comput. System Sci., 61 (2000), pp. 302-332.
    • PH. G. KOLAITIS AND M. Y. VARDI, Conjunctive-query containment and constraint satisfaction, J. Comput. System Sci., 61 (2000), pp. 302-332.
  • 27
    • 33745606241 scopus 로고    scopus 로고
    • Taylor terms, constraint satisfaction and the complexity of polynomial equations over finite algebras
    • B. LAROSE AND L. ZÁDORI, Taylor terms, constraint satisfaction and the complexity of polynomial equations over finite algebras, Internat. J. Algebra Comput., 16 (2006), pp. 563-581.
    • (2006) Internat. J. Algebra Comput , vol.16 , pp. 563-581
    • LAROSE, B.1    ZÁDORI, L.2
  • 28
    • 33746032977 scopus 로고    scopus 로고
    • Towards a trichotomy for quantified H-coloring
    • Logical Approaches to Computational Barriers, Second Conference on Computability in Europe, Springer-Verlag, Berlin
    • B. MARTIN AND F. MADELAINE, Towards a trichotomy for quantified H-coloring, in Logical Approaches to Computational Barriers, Second Conference on Computability in Europe, Lecture Notes in Comput. Sci. 3988, Springer-Verlag, Berlin, 2006, pp. 342-352.
    • (2006) Lecture Notes in Comput. Sci , vol.3988 , pp. 342-352
    • MARTIN, B.1    MADELAINE, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.