메뉴 건너뛰기




Volumn 10, Issue 4, 1997, Pages 453-485

Coloring rules for finite trees, and probabilities of monadic second order sentences

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031475943     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2418(199707)10:4<453::AID-RSA3>3.0.CO;2-T     Document Type: Article
Times cited : (42)

References (38)
  • 1
    • 0041180736 scopus 로고
    • Application of a Tauberian theorem to finite model theory
    • K. J. Compton, Application of a Tauberian theorem to finite model theory, Arch. Math. Logik Grundlag, 25, 91-98 (1985).
    • (1985) Arch. Math. Logik Grundlag , vol.25 , pp. 91-98
    • Compton, K.J.1
  • 2
    • 38249035353 scopus 로고
    • A logical approach to asymptotic combinatorics I: First order properties
    • K. J. Compton, A logical approach to asymptotic combinatorics I: first order properties, Adv. Math., 65, 65-96 (1987).
    • (1987) Adv. Math. , vol.65 , pp. 65-96
    • Compton, K.J.1
  • 3
    • 38249023688 scopus 로고
    • A logical approach to asymptotic combinatorics II: Monadic second-order properties
    • K. J. Compton, A logical approach to asymptotic combinatorics II: monadic second-order properties, J. Combinat. Theor. Ser. A, 50, 110-131 (1989).
    • (1989) J. Combinat. Theor. Ser. A , vol.50 , pp. 110-131
    • Compton, K.J.1
  • 4
    • 38249020685 scopus 로고
    • A uniform method for proving lower bounds on the computational complexity of logical theories
    • K. J. Compton and C. W. Henson, A uniform method for proving lower bounds on the computational complexity of logical theories, Ann. Pure Appl. Logic, 48, 1-79 (1990).
    • (1990) Ann. Pure Appl. Logic , vol.48 , pp. 1-79
    • Compton, K.J.1    Henson, C.W.2
  • 5
    • 0010675888 scopus 로고
    • Nonconvergence, undecidability, and intractability in asymptotic problems
    • K. J. Compton, C. W. Henson, and S. Shelah, Nonconvergence, undecidability, and intractability in asymptotic problems, Ann. Pure Appl. Logic, 36, 207-224 (1987).
    • (1987) Ann. Pure Appl. Logic , vol.36 , pp. 207-224
    • Compton, K.J.1    Henson, C.W.2    Shelah, S.3
  • 7
    • 0000918436 scopus 로고
    • An application of games to the completeness problem for formalized theories
    • A. Ehrenfeucht, An application of games to the completeness problem for formalized theories, Fund. Math., 49, 129-141 (1961).
    • (1961) Fund. Math. , vol.49 , pp. 129-141
    • Ehrenfeucht, A.1
  • 8
    • 0002950863 scopus 로고
    • Probabilities on finite models
    • R. Fagin, Probabilities on finite models, J. Symbolic Logic, 41, 50-58 (1976).
    • (1976) J. Symbolic Logic , vol.41 , pp. 50-58
    • Fagin, R.1
  • 10
    • 0002850509 scopus 로고
    • Sur quelques classifications des systèmes de relations
    • R. Fraïssé, Sur quelques classifications des systèmes de relations, Pub. Sci. Univ. Alger. Ser. A., 1, 35-182 (1954).
    • (1954) Pub. Sci. Univ. Alger. Ser. A. , vol.1 , pp. 35-182
    • Fraïssé, R.1
  • 11
    • 38249034240 scopus 로고
    • A combinatorial proof of the multivariable Lagrange inversion formula
    • I. M. Gessel, A combinatorial proof of the multivariable Lagrange inversion formula, J. Combinat. Theor. Ser. A, 45, 178-195 (1987).
    • (1987) J. Combinat. Theor. Ser. A , vol.45 , pp. 178-195
    • Gessel, I.M.1
  • 12
    • 0000005812 scopus 로고
    • Range and degree of realizability of formulas in the restricted predicate calculus
    • Y. V. Glebskiǐ, D. I. Kogan, M. I. Liogon'kiǐ, and V. A. Talanov, Range and degree of realizability of formulas in the restricted predicate calculus, Kibernetika (Kiev), 5(2), 17-28 (1969) [Engl. transl. Cybernetics, 5, 142-154 (1972)].
    • (1969) Kibernetika (Kiev) , vol.5 , Issue.2 , pp. 17-28
    • Glebskiǐ, Y.V.1    Kogan, D.I.2    Liogon'kiǐ, M.I.3    Talanov, V.A.4
  • 13
    • 85068306400 scopus 로고
    • Y. V. Glebskiǐ, D. I. Kogan, M. I. Liogon'kiǐ, and V. A. Talanov, Range and degree of realizability of formulas in the restricted predicate calculus, Kibernetika (Kiev), 5(2), 17-28 (1969) [Engl. transl. Cybernetics, 5, 142-154 (1972)].
    • (1972) Cybernetics , vol.5 , pp. 142-154
  • 14
    • 84957168154 scopus 로고
    • The generalization of Lagrange's expansion and the enumeration of trees
    • Correction ibid., 64, 489 (1968)
    • I. J. Good, The generalization of Lagrange's expansion and the enumeration of trees, Proc. Cambridge Philo. Soc., 61, 499-517 (1965); Correction ibid., 64, 489 (1968).
    • (1965) Proc. Cambridge Philo. Soc. , vol.61 , pp. 499-517
    • Good, I.J.1
  • 18
    • 0040887187 scopus 로고
    • A counterexample to the 0-1 law for existential monadic second-order logic
    • Computational Logic Inc., Austin, TX
    • M. Kaufmann, A counterexample to the 0-1 law for existential monadic second-order logic, CLI Internal Note 32, Computational Logic Inc., Austin, TX, 1987.
    • (1987) CLI Internal Note , vol.32
    • Kaufmann, M.1
  • 19
    • 0000232678 scopus 로고
    • On random models of finite power and monadic logic
    • M. Kaufmann and S. Shelah, On random models of finite power and monadic logic, Discrete Math., 54, 285-293 (1985).
    • (1985) Discrete Math. , vol.54 , pp. 285-293
    • Kaufmann, M.1    Shelah, S.2
  • 20
    • 21844517031 scopus 로고
    • Some typical properties of large AND/OR Boolean formulas
    • Proc. MFCS'95
    • H. Lefmann and P. Savický, Some typical properties of large AND/OR Boolean formulas, Proc. MFCS'95, Lecture Notes in Computer Science 969, 1995, pp. 237-246.
    • (1995) Lecture Notes in Computer Science , vol.969 , pp. 237-246
    • Lefmann, H.1    Savický, P.2
  • 22
    • 84914838025 scopus 로고
    • Probabilities of first-order sentences about unary functions
    • J. F. Lynch, Probabilities of first-order sentences about unary functions, Trans. Am. Math. Soc., 287, 543-568 (1985).
    • (1985) Trans. Am. Math. Soc. , vol.287 , pp. 543-568
    • Lynch, J.F.1
  • 25
    • 51249186256 scopus 로고
    • On random mapping patterns
    • A. Meir and J. W. Moon, On random mapping patterns, Combinatorica, 4, 61-70 (1984).
    • (1984) Combinatorica , vol.4 , pp. 61-70
    • Meir, A.1    Moon, J.W.2
  • 27
    • 0000902966 scopus 로고
    • The number of trees
    • R. Otter, The number of trees, Ann. Math., 49, 583-599 (1948).
    • (1948) Ann. Math. , vol.49 , pp. 583-599
    • Otter, R.1
  • 28
    • 0013482960 scopus 로고
    • A natural prior probability distribution derived from the propositional calculus
    • J. B. Paris, A. Vencovská, and G. M. Wilmers, A natural prior probability distribution derived from the propositional calculus, Ann. Pure Appl. Logic, 70, 243-285 (1994).
    • (1994) Ann. Pure Appl. Logic , vol.70 , pp. 243-285
    • Paris, J.B.1    Vencovská, A.2    Wilmers, G.M.3
  • 29
    • 51649146515 scopus 로고
    • Kombinatorische anzahlbestimmungen für gruppen, graphen und chemische verbindungen
    • G. Pólya, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen, Acta Math., 68, 145-254 (1937).
    • (1937) Acta Math. , vol.68 , pp. 145-254
    • Pólya, G.1
  • 33
    • 0002614970 scopus 로고
    • Generalized finite automata theory with an application to a problem of second-order logic
    • J. W. Thatcher and J. B. Wright, Generalized finite automata theory with an application to a problem of second-order logic, Math. Syst. Theor., 2, 57-81 (1968).
    • (1968) Math. Syst. Theor. , vol.2 , pp. 57-81
    • Thatcher, J.W.1    Wright, J.B.2
  • 34
    • 0040455649 scopus 로고    scopus 로고
    • Infinitary queries and their asymptotic probabilities I: Properties definable in transitive closure logic
    • J. Tyszkiewicz, Infinitary queries and their asymptotic probabilities I: properties definable in transitive closure logic. Computer Science Logic, E. Borger, G. Jäger, H. Klein Büning, and M. M. Richter, Eds. Proc. 5th Workshop, CSL'91, Berne, Switzerland, October 1991, Lecture Notes Comput. Sci, 626, 396-410 (1992).
    • Computer Science Logic
    • Tyszkiewicz, J.1
  • 35
    • 0040455649 scopus 로고    scopus 로고
    • Proc. 5th Workshop, CSL'91
    • Berne, Switzerland, October 1991
    • J. Tyszkiewicz, Infinitary queries and their asymptotic probabilities I: properties definable in transitive closure logic. Computer Science Logic, E. Borger, G. Jäger, H. Klein Büning, and M. M. Richter, Eds. Proc. 5th Workshop, CSL'91, Berne, Switzerland, October 1991, Lecture Notes Comput. Sci, 626, 396-410 (1992).
    • (1992) Lecture Notes Comput. Sci , vol.626 , pp. 396-410
    • Borger, E.1    Jäger, G.2    Klein, H.3    Richter, M.M.4
  • 36
    • 84990639699 scopus 로고
    • Infinitary queries and their asymptotic probabilities. II. Properties definable in least fixed point logic
    • J. Tyszkiewicz, Infinitary queries and their asymptotic probabilities. II. Properties definable in least fixed point logic, Random Struct. Alg., 5, 215-234 (1994).
    • (1994) Random Struct. Alg. , vol.5 , pp. 215-234
    • Tyszkiewicz, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.