메뉴 건너뛰기




Volumn 78, Issue 1-3, 1996, Pages 189-202

Arity and alternation in second-order logic

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030568397     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-0072(95)00013-5     Document Type: Article
Times cited : (24)

References (14)
  • 1
    • 0001416287 scopus 로고
    • Reachability is harder for directed than for undirected finite graphs
    • [1] M. Ajtai and R. Fagin, Reachability is harder for directed than for undirected finite graphs, J. Symbolic Logic 55 1 (1990) 113-150.
    • (1990) J. Symbolic Logic , vol.55 , Issue.1 , pp. 113-150
    • Ajtai, M.1    Fagin, R.2
  • 2
    • 70350098746 scopus 로고
    • Weak second-order arithmetic and finite automata
    • [2] J.R. Büchi, Weak second-order arithmetic and finite automata. Z. Math. Logik Grundlag. Math. 6 (1960) 66-92.
    • (1960) Z. Math. Logik Grundlag. Math. , vol.6 , pp. 66-92
    • Büchi, J.R.1
  • 3
    • 0002974124 scopus 로고
    • The Ehrenfeucht-Fraïssé games for transitive closure
    • A. Nerode and M. Taitsin, eds., Logical Foundation of Computer Science - Tver'92, (Springer, Berlin)
    • [3] A. Calò and J.A. Makowsky, The Ehrenfeucht-Fraïssé games for transitive closure, in: A. Nerode and M. Taitsin, eds., Logical Foundation of Computer Science - Tver'92, Lecture Notes in Computer Science, Vol. 620 (Springer, Berlin, 1992) 57-68.
    • (1992) Lecture Notes in Computer Science , vol.620 , pp. 57-68
    • Calò, A.1    Makowsky, J.A.2
  • 4
    • 0025398865 scopus 로고
    • The monadic second-order logic of graphs I: Recognizable sets of finite graphs
    • [4] B. Courcelle, The monadic second-order logic of graphs I: recognizable sets of finite graphs, Inform. and Comput. 85 (1990) 12-75.
    • (1990) Inform. and Comput. , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 5
    • 84985321946 scopus 로고
    • Second-order and inductive definability on finite structures
    • [5] M. de Rougemont, Second-order and inductive definability on finite structures, Z. Math. Logik Grundlag. Math. 33 (1987) 47-63.
    • (1987) Z. Math. Logik Grundlag. Math. , vol.33 , pp. 47-63
    • De Rougemont, M.1
  • 6
    • 0026219736 scopus 로고
    • A regular characterization of graph languages definable in monadic second-order logic
    • [6] J. Engelfriet, A regular characterization of graph languages definable in monadic second-order logic, Theoret. Comput. Sci. 88 (1991) 139-150.
    • (1991) Theoret. Comput. Sci. , vol.88 , pp. 139-150
    • Engelfriet, J.1
  • 9
    • 0001951331 scopus 로고
    • A catalog of complexity classes
    • J. van Leeuwen, ed., Ch. 2 (Elsevier, Amsterdam)
    • [9] D.S. Johnson, A catalog of complexity classes, in: J. van Leeuwen, ed., Handbook of Theoretical Computer Science, Vol. 1, Ch. 2 (Elsevier, Amsterdam, 1990).
    • (1990) Handbook of Theoretical Computer Science , vol.1
    • Johnson, D.S.1
  • 10
    • 0000832468 scopus 로고
    • Complexity classes and theories of finite models
    • [10] J.F. Lynch, Complexity classes and theories of finite models, Math. Systems Theory 15 (1982) 127-144.
    • (1982) Math. Systems Theory , vol.15 , pp. 127-144
    • Lynch, J.F.1
  • 11
    • 0000656063 scopus 로고
    • Computable quantifiers and logics over finite structures
    • M. Krynicki, M. Mostowsky and L. Sczerba, eds., (Kluwer Academic Publishers, Dordrecht)
    • [11] J.A. Makowsky and Y.B. Pnueli. Computable quantifiers and logics over finite structures, in: M. Krynicki, M. Mostowsky and L. Sczerba, eds., Logics, Models, and Computation, Vol. 1 (Kluwer Academic Publishers, Dordrecht, 1995) 313-357.
    • (1995) Logics, Models, and Computation , vol.1 , pp. 313-357
    • Makowsky, J.A.1    Pnueli, Y.B.2
  • 12
    • 84903919110 scopus 로고
    • Arity vs. alternation in second-order definability
    • Springer, Berlin
    • [12] J.A. Makowsky and Y.B. Pnueli, Arity vs. alternation in second-order definability, in: LFCS'94, Lecture Notes in Computer Science, Vol. 813 (Springer, Berlin 1994) 240-252.
    • (1994) LFCS'94, Lecture Notes in Computer Science , vol.813 , pp. 240-252
    • Makowsky, J.A.1    Pnueli, Y.B.2
  • 13
    • 0020246633 scopus 로고
    • Classifying regular events in symbolic logic
    • [13] W. Thomas, Classifying regular events in symbolic logic, J. Comput. System Sci. 25 (1982) 360-376.
    • (1982) J. Comput. System Sci. , vol.25 , pp. 360-376
    • Thomas, W.1
  • 14
    • 0011401101 scopus 로고
    • On the definability of properties of finite graphs
    • [14] G. Turán, On the definability of properties of finite graphs, Discrete Math. 49 (1984) 291-302.
    • (1984) Discrete Math. , vol.49 , pp. 291-302
    • Turán, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.