메뉴 건너뛰기




Volumn 51, Issue 2, 2004, Pages 312-362

Existential second-order logic over graphs: Charting the tractability frontier

Author keywords

Existential second order logic; Finite model theory; Graph coloring; Graph constraints; NP complete problems; Prefix classes

Indexed keywords

DESCRIPTIVE COMPLEXITY; DICHOTOMY; PREFIX CLASSES; QUANTIFIER PATTERNS;

EID: 4243105083     PISSN: 00045411     EISSN: None     Source Type: Journal    
DOI: 10.1145/972639.972646     Document Type: Article
Times cited : (26)

References (24)
  • 1
    • 0001294529 scopus 로고    scopus 로고
    • A linear-time algorithm for finding tree-decompositions of small treewidth
    • BODLAENDER, H. L. 1996. A linear-time algorithm for finding tree-decompositions of small treewidth. SIAM J. Comput. 25, 6, 1305-1317.
    • (1996) SIAM J. Comput. , vol.25 , Issue.6 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 3
    • 70350098746 scopus 로고
    • Weak second-order arithmetic and finite automata
    • BÜCHI, J. R. 1960. Weak second-order arithmetic and finite automata. Z. Math. Logik Grund. Math. 6, 66-92.
    • (1960) Z. Math. Logik Grund. Math. , vol.6 , pp. 66-92
    • Büchi, J.R.1
  • 4
    • 0025398865 scopus 로고
    • The monadic second-order logic of graphs I: Recognizable sets of finite graphs
    • COURCELLE, B. 1990. The monadic second-order logic of graphs I: Recognizable sets of finite graphs. Inf. Comput. 85, 12-75.
    • (1990) Inf. Comput. , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 6
    • 3342916680 scopus 로고    scopus 로고
    • Existential second order logic over strings
    • Preliminary version in LICS'98
    • EITER, TH., GOTTLOB, G., AND GUREVICH, Y. 2000. Existential second order logic over strings. J. ACM 47, 1, 77-131. (Preliminary version in LICS'98.)
    • (2000) J. ACM , vol.47 , Issue.1 , pp. 77-131
    • Eiter, Th.1    Gottlob, G.2    Gurevich, Y.3
  • 7
    • 84876950817 scopus 로고    scopus 로고
    • Second order logic over strings: Regular and nonregular fragments
    • (Vienna, Austria, July 16-21, 2001). Lecture Notes in Computer Science. Springer-Verlag, New York
    • EITER, TH., GOTTLOB, G., AND SCHWENTICK, TH. 2002. Second order logic over strings: Regular and nonregular fragments. In Proceedings of the 5th International Conference on Developments in Language Theory (Vienna, Austria, July 16-21, 2001). Lecture Notes in Computer Science, vol. 2295. Springer-Verlag, New York, pp. 21-36.
    • (2002) Proceedings of the 5th International Conference on Developments in Language Theory , vol.2295 , pp. 21-36
    • Eiter, Th.1    Gottlob, G.2    Schwentick, Th.3
  • 8
    • 0002188798 scopus 로고
    • Generalized first-order spectra and polynomial-time recognizable sets
    • R. M. Karp, ed. AMS, providence, R.F
    • FAGIN, R. 1974. Generalized first-order spectra and polynomial-time recognizable sets. In Complexity of Computation, R. M. Karp, ed. AMS, providence, R.F., pp. 43-74.
    • (1974) Complexity of Computation , pp. 43-74
    • Fagin, R.1
  • 10
    • 0038738751 scopus 로고
    • The Expressive power of second-order Horn Logic
    • Lecture Notes in Computer Science. Springer-Verlag, New York
    • GRÄDEL, E. 1991. The Expressive power of second-order Horn Logic. In Proceedings STACS-91. Lecture Notes in Computer Science, vol. 480. Springer-Verlag, New York, pp. 466-477.
    • (1991) Proceedings STACS-91 , vol.480 , pp. 466-477
    • Grädel, E.1
  • 11
    • 0026886786 scopus 로고
    • Capturing complexity classes with fragments of second order logic
    • GRÄDEL, E. 1992. Capturing complexity classes with fragments of second order logic. Theoret. Comput. Sci. 101, 35-57.
    • (1992) Theoret. Comput. Sci. , vol.101 , pp. 35-57
    • Grädel, E.1
  • 12
    • 0024091298 scopus 로고
    • Nondeterministic space is closed under complementation
    • IMMERMAN, N. 1988. Nondeterministic space is closed under complementation. SIAM J. Comput. 17, 935-939.
    • (1988) SIAM J. Comput. , vol.17 , pp. 935-939
    • Immerman, N.1
  • 14
    • 0007188701 scopus 로고
    • New problems complete for nondeterministic log space
    • JONES, N. D., LIEN, Y. E., AND LAASER, W. T. 1976. New problems complete for nondeterministic log space. Math. Syst. Theory 10, 1-17.
    • (1976) Math. Syst. Theory , vol.10 , pp. 1-17
    • Jones, N.D.1    Lien, Y.E.2    Laaser, W.T.3
  • 15
    • 0016425038 scopus 로고
    • On the structure of polynomial time reducibility
    • LADNER, R. 1975. On the structure of polynomial time reducibility. J. ACM 22, 155-171.
    • (1975) J. ACM , vol.22 , pp. 155-171
    • Ladner, R.1
  • 17
    • 0026366408 scopus 로고
    • Optimization, approximation, and complexity classes
    • PAPADIMITRIOU, C. H., AND YANNAKAKIS, M. 1991. Optimization, approximation, and complexity classes. J. Comput. Syst. Sci. 43, 425-440.
    • (1991) J. Comput. Syst. Sci. , vol.43 , pp. 425-440
    • Papadimitriou, C.H.1    Yannakakis, M.2
  • 18
    • 0000673493 scopus 로고
    • Graph minors II. Algorithmic aspects of tree-width
    • ROBERTSON, N., AND SEYMOUR, P. D. 1986. Graph minors II. Algorithmic aspects of tree-width. J. Algorithms 7, 309-322.
    • (1986) J. Algorithms , vol.7 , pp. 309-322
    • Robertson, N.1    Seymour, P.D.2
  • 20
    • 0024112189 scopus 로고
    • The method of forced enumeration for nondeterministic automata
    • SZEUEPCSÈNYI, R. 1988. The method of forced enumeration for nondeterministic automata. Acta Inf., 26, 279-284.
    • (1988) Acta Inf. , vol.26 , pp. 279-284
    • Szeuepcsènyi, R.1
  • 21
    • 0001790593 scopus 로고
    • Depth-first search and linear graph algorithms
    • TȦRJAN, R. 1972. Depth-first search and linear graph algorithms. SIAM J. Comput. 1, 146-160.
    • (1972) SIAM J. Comput. , vol.1 , pp. 146-160
    • Tarjan, R.1
  • 22
    • 84986465543 scopus 로고
    • On the presence of disjoint subgraphs of a specified type. Algorithmic aspects of tree-width
    • THOMASSEN, C. 1988. On the presence of disjoint subgraphs of a specified type. Algorithmic aspects of tree-width. J. Graph Theory 12, 1, 101-111.
    • (1988) J. Graph Theory , vol.12 , Issue.1 , pp. 101-111
    • Thomassen, C.1
  • 23
    • 0000680026 scopus 로고
    • The impossibility of an algorithm for the decision problem for finite domains (Russian)
    • 1950
    • TRAHTBNBROT, B. 1963. The impossibility of an algorithm for the decision problem for finite domains (Russian). Doklady Academii Nauk SSR, 70:569-572, 1950. English translation: American Mathematical Society Translation Series 2, 23, 1-5.
    • (1963) Doklady Academii Nauk SSR , vol.70 , pp. 569-572
    • Trahtbnbrot, B.1
  • 24
    • 4243083747 scopus 로고    scopus 로고
    • English translation
    • TRAHTBNBROT, B. 1963. The impossibility of an algorithm for the decision problem for finite domains (Russian). Doklady Academii Nauk SSR, 70:569-572, 1950. English translation: American Mathematical Society Translation Series 2, 23, 1-5.
    • American Mathematical Society Translation Series , vol.2 , Issue.23 , pp. 1-5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.