메뉴 건너뛰기




Volumn 3162, Issue , 2004, Pages 96-107

On decidability of MSO theories of representable matroids

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL MATHEMATICS; COMPUTABILITY AND DECIDABILITY; GRAPH THEORY; MATRIX ALGEBRA;

EID: 32144453056     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-28639-4_9     Document Type: Article
Times cited : (1)

References (25)
  • 3
    • 0025398865 scopus 로고
    • The Monadic Second-Order Logic of Graphs I. Recognizable sets of Finite Graphs
    • B. Courcelle, The Monadic Second-Order Logic of Graphs I. Recognizable sets of Finite Graphs, Information and Computation 85 (1990), 12-75.
    • (1990) Information and Computation , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 4
    • 0000880574 scopus 로고
    • The monadic second order logic of graphs VI: On several representations of graphs by relational structures
    • Erratum 63 (1995) 199-200.
    • B. Courcelle, The monadic second order logic of graphs VI: on several representations of graphs by relational structures, Discrete Appl. Math. 54 (1994) 117-149. Erratum 63 (1995) 199-200.
    • (1994) Discrete Appl. Math. , vol.54 , pp. 117-149
    • Courcelle, B.1
  • 5
    • 0037453407 scopus 로고    scopus 로고
    • The monadic second-order logic of graphs XIV: Uniformly sparse graphs and edge set quantification
    • B. Courcelle, The monadic second-order logic of graphs XIV: Uniformly sparse graphs and edge set quantification, Theoretical Computer Science 299 (2003) 1-36.
    • (2003) Theoretical Computer Science , vol.299 , pp. 1-36
    • Courcelle, B.1
  • 7
    • 0034399867 scopus 로고    scopus 로고
    • Linear Time Solvable Optimization Problems on Graphs of Bounded Clique-Width
    • B. Courcelle, J.A. Makowsky, U. Rotics, Linear Time Solvable Optimization Problems on Graphs of Bounded Clique-Width, Theory Comput. Systems 33 (2000) 125-150.
    • (2000) Theory Comput. Systems , vol.33 , pp. 125-150
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 8
    • 0027553197 scopus 로고
    • Monadic second-order evaluations on tree-decomposable graphs
    • B. Courcelle, M. Mosbah, Monadic second-order evaluations on tree-decomposable graphs, Theoret. Comput. Sci. 109 (1993), 49-82.
    • (1993) Theoret. Comput. Sci. , vol.109 , pp. 49-82
    • Courcelle, B.1    Mosbah, M.2
  • 12
    • 85047893092 scopus 로고
    • Chapter XIII from J. Barwise, S. Feferman: Model-Theoretic Logics; Springer-Verlag New York
    • Y. Gurevich, Monadic second-order theories, In: Chapter XIII from J. Barwise, S. Feferman: Model-Theoretic Logics; Springer-Verlag New York 1985, 479-506.
    • (1985) Monadic Second-order Theories , pp. 479-506
    • Gurevich, Y.1
  • 14
    • 25144436229 scopus 로고    scopus 로고
    • Springer Verlag
    • Extended abstract in: STAGS 2003, Lecture Notes in Computer Science 2607, Springer Verlag (2003), 319-330.
    • (2003) Lecture Notes in Computer Science 2607 , pp. 319-330
  • 15
    • 32144457687 scopus 로고    scopus 로고
    • On Matroid Properties Definable in the MSO Logic
    • Math Foundations of Computer Science MFCS 2003, Springer Verlag Berlin
    • P. Hliněný, On Matroid Properties Definable in the MSO Logic, In: Math Foundations of Computer Science MFCS 2003, Lecture Notes in Computer Science 2747, Springer Verlag Berlin (2003), 470-479.
    • (2003) Lecture Notes in Computer Science , vol.2747 , pp. 470-479
    • Hliněný, P.1
  • 17
    • 35048874513 scopus 로고    scopus 로고
    • Extended abstract in: Eurocomb'03, ITI Series 2003-145, Charles University, Prague, Czech Republic, 202-205
    • Extended abstract in: Eurocomb'03, ITI Series 2003-145, Charles University, Prague, Czech Republic, 202-205.
  • 19
    • 35048880812 scopus 로고
    • Logic, Methodology and Philosophy of Sciences 1 (ed. Bar-Hillel), North-Holland, Amsterdam
    • M.O. Rabin, A simple method for undecidability proofs and some applications, Logic, Methodology and Philosophy of Sciences 1 (ed. Bar-Hillel), North-Holland, Amsterdam 1964, 58-68.
    • (1964) A Simple Method for Undecidability Proofs and Some Applications , pp. 58-68
    • Rabin, M.O.1
  • 20
    • 33847763935 scopus 로고
    • Chapter C.3 of Handbook of Mathematical Logic, J. Barwise, North-Holland Publ.Co.
    • M.O. Rabin, Decidable theories, In: Chapter C.3 of Handbook of Mathematical Logic, J. Barwise, North-Holland Publ.Co. 1977, 595-629.
    • (1977) Decidable Theories , pp. 595-629
    • Rabin, M.O.1
  • 22
    • 0001227241 scopus 로고
    • Graph Minors X. Obstructions to Tree-Decomposition
    • N. Robertson, P.D. Seymour, Graph Minors X. Obstructions to Tree-Decomposition, J. Combin. Theory Ser. B 52 (1991), 153-190.
    • (1991) J. Combin. Theory Ser. B , vol.52 , pp. 153-190
    • Robertson, N.1    Seymour, P.D.2
  • 23
    • 35048859610 scopus 로고
    • Wissenschaftliche Zeitschrift der Humboldt-Universitaet zu Berlin, Math.-Nat. R. XXIV
    • D. Seese, Ein Unentscheidbarkeitskriterium, Wissenschaftliche Zeitschrift der Humboldt-Universitaet zu Berlin, Math.-Nat. R. XXIV (1975) 6, 772-778.
    • (1975) Ein Unentscheidbarkeitskriterium , vol.6 , pp. 772-778
    • Seese, D.1
  • 24
    • 0001221225 scopus 로고
    • The structure of the models of decidable monadic theories of graphs
    • D. Seese, The structure of the models of decidable monadic theories of graphs, Annals of Pure and Aplied Logic 53 (1991), 169-195.
    • (1991) Annals of Pure and Aplied Logic , vol.53 , pp. 169-195
    • Seese, D.1
  • 25
    • 0013305695 scopus 로고
    • Interpretability and Tree Automata: A simple way to solve Algorithmic Problems on Graphs closely related to Trees
    • M. Nivat and A. Podelski (editors), Elsevier Sceince Publishers
    • D. Seese, Interpretability and Tree Automata: a simple way to solve Algorithmic Problems on Graphs closely related to Trees, In: Tree Automata and Languages, M. Nivat and A. Podelski (editors), Elsevier Sceince Publishers 1992, 83-114.
    • (1992) Tree Automata and Languages , pp. 83-114
    • Seese, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.