메뉴 건너뛰기




Volumn 4, Issue 4, 1998, Pages 345-398

Finite variable logics in descriptive complexity theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040944353     PISSN: 10798986     EISSN: None     Source Type: Journal    
DOI: 10.2307/420954     Document Type: Article
Times cited : (29)

References (71)
  • 1
    • 0030713542 scopus 로고    scopus 로고
    • Fixpoint logics, relational machines, and computational complexity
    • S. ABITEBOUL, M. Y. VARDI, and V. VIANU, Fixpoint logics, relational machines, and computational complexity, Journal of the ACM, vol. 44 (1997), pp. 30-56.
    • (1997) Journal of the ACM , vol.44 , pp. 30-56
    • Abiteboul, S.1    Vardi, M.Y.2    Vianu, V.3
  • 5
    • 0001793195 scopus 로고
    • Back and forth through infinitary logic
    • (M. D. Morley, editor), Studies in Mathematics, Mathematical Association of America
    • J. BARWISE, Back and forth through infinitary logic, Studies in model theory (M. D. Morley, editor), Studies in Mathematics, Mathematical Association of America, 1973, pp. 5-34.
    • (1973) Studies in Model Theory , pp. 5-34
    • Barwise, J.1
  • 6
    • 0001376122 scopus 로고
    • this JOURNAL
    • _, On Moschovakis closure ordinals, this JOURNAL, vol. 42 (1977), pp. 292-296.
    • (1977) On Moschovakis closure ordinals , vol.42 , pp. 292-296
  • 7
    • 0022140874 scopus 로고
    • A zero-one law for logic with a fixed-point operator
    • A. BLASS, Y. GUREVICH, and D. KOZEN, A zero-one law for logic with a fixed-point operator, Information and Control, vol. 67 (1985), pp. 70-90.
    • (1985) Information and Control , vol.67 , pp. 70-90
    • Blass, A.1    Gurevich, Y.2    Kozen, D.3
  • 9
    • 0000409564 scopus 로고
    • An optimal lower bound on the number of variables for graph identification
    • J. CAI, M. FÜRER, and N. IMMERMAN, An optimal lower bound on the number of variables for graph identification, Combinatorica, vol. 12 (1992), pp. 389-410.
    • (1992) Combinatorica , vol.12 , pp. 389-410
    • Cai, J.1    Fürer, M.2    Immerman, N.3
  • 13
    • 0000349516 scopus 로고
    • Generalized quantifiers and logical reducibilities
    • _, Generalized quantifiers and logical reducibilities, Journal of Logic and Computation, vol. 5 (1995), pp. 213-226.
    • (1995) Journal of Logic and Computation , vol.5 , pp. 213-226
  • 14
    • 84957617878 scopus 로고
    • A restricted second order logic for finite structures
    • Logic and Computational Complexity: International Workshop, LCC '94, (D. Leivant, editor), Springer-Verlag
    • _, A restricted second order logic for finite structures, Logic and computational complexity: International workshop, LCC '94 (D. Leivant, editor), Lecture Notes in Computer Science, vol. 960, Springer-Verlag, 1995.
    • (1995) Lecture Notes in Computer Science , vol.960
  • 15
    • 0001918298 scopus 로고    scopus 로고
    • Types and indiscernibles in finite models
    • Logic Colloquium '95 (J. A. Makowsky and E. V. Ravve, editors), Springer-Verlag
    • _, Types and indiscernibles in finite models, Logic colloquium '95 (J. A. Makowsky and E. V. Ravve, editors), Lecture Notes in Logic, vol. 11, Springer-Verlag, 1998, pp. 51-65.
    • (1998) Lecture Notes in Logic , vol.11 , pp. 51-65
  • 17
    • 0001255320 scopus 로고
    • Infinitary logic and inductive definability over finite structures
    • A. DAWAR, S. LINDELL, and S. WEINSTEIN, Infinitary logic and inductive definability over finite structures, Information and Computation, vol. 119 (1995), pp. 160-175.
    • (1995) Information and Computation , vol.119 , pp. 160-175
    • Dawar, A.1    Lindell, S.2    Weinstein, S.3
  • 18
    • 85047943542 scopus 로고
    • Extended logics: The general framework
    • (J. Barwise and S. Feferman, editors), Springer-Verlag
    • H.-D. EBBINGHAUS, Extended logics: The general framework, Model-theoretic logics (J. Barwise and S. Feferman, editors), Springer-Verlag, 1985, pp. 25-76.
    • (1985) Model-theoretic Logics , pp. 25-76
    • Ebbinghaus, H.-D.1
  • 21
    • 0002188798 scopus 로고
    • Generalized first-order spectra and polynomial-time recognizable sets
    • Complexity of Computation (R. M. Karp, editor)
    • R. FAGIN, Generalized first-order spectra and polynomial-time recognizable sets, Complexity of computation (R. M. Karp, editor), SIAM-AMS Proceedings, vol. 7, 1974, pp. 43-73.
    • (1974) SIAM-AMS Proceedings , vol.7 , pp. 43-73
    • Fagin, R.1
  • 23
    • 85033900126 scopus 로고    scopus 로고
    • private communication
    • J. FLUM and M. ZIEGLER, private communication.
    • Flum, J.1    Ziegler, M.2
  • 24
    • 0031491942 scopus 로고    scopus 로고
    • On the decision problem for two-variable first-order logic
    • E. GRÄDEL, PH. G. KOLAITIS, and M. Y. VARDI, On the decision problem for two-variable first-order logic, Bulletin of Symbolic Logic, vol. 3 (1997), pp. 53-69.
    • (1997) Bulletin of Symbolic Logic , vol.3 , pp. 53-69
    • Grädel, E.1    Kolaitis, Ph.G.2    Vardi, M.Y.3
  • 25
    • 84905978405 scopus 로고
    • Inductive definability with counting on finite structures
    • Computer Science Logic, 6th Workshop, CSL '92, San Miniato 1992, Selected Papers (E. Börger, G. Jäger, H. Kleine Büning, S. Martini, and M. M. Richter, editors), Springer-Verlag
    • E. GRÄDEL and M. OTTO, Inductive definability with counting on finite structures, Computer science logic, 6th workshop, CSL '92, San Miniato 1992, selected papers (E. Börger, G. Jäger, H. Kleine Büning, S. Martini, and M. M. Richter, editors). Lecture Notes in Computer Science, vol. 702, Springer-Verlag, 1993, pp. 231-247.
    • (1993) Lecture Notes in Computer Science , vol.702 , pp. 231-247
    • Grädel, E.1    Otto, M.2
  • 31
    • 84957654251 scopus 로고    scopus 로고
    • k-equivalence is hard
    • Computer Science Logic, 11th International Workshop CSL '97 (Selected Papers) (M. Nielsen and W. Thomas, editors), Springer-Verlag
    • k-equivalence is hard, Computer science logic, 11th international workshop CSL '97 (Selected papers) (M. Nielsen and W. Thomas, editors), Lecture Notes in Computer Science, vol. 1414, Springer-Verlag, 1998.
    • (1998) Lecture Notes in Computer Science , vol.1414
  • 33
    • 0039749047 scopus 로고    scopus 로고
    • Definability and descriptive complexity on databases of bounded tree-width
    • (C. Beeri, editor), Lecture Notes in Computer Science, Springer-Verlag, to appear
    • M. GROHE and J. MARIÑO, Definability and descriptive complexity on databases of bounded tree-width, Proceedings of the 7th international conference on database theory (C. Beeri, editor), Lecture Notes in Computer Science, Springer-Verlag, 1999, to appear.
    • (1999) Proceedings of the 7th International Conference on Database Theory
    • Grohe, M.1    Mariño, J.2
  • 34
    • 0000100134 scopus 로고
    • Toward logic tailored for computational complexity
    • Computation and Proof Theory (M. M. Richter, E. Börger, W. Oberschelp, B. Schinzel, and W. Thomas, editors), Springer-Verlag
    • Y. GUREVICH, Toward logic tailored for computational complexity, Computation and proof theory (M. M. Richter, E. Börger, W. Oberschelp, B. Schinzel, and W. Thomas, editors), Lecture Notes in Mathematics, vol. 1104, Springer-Verlag, 1984, pp. 175-216.
    • (1984) Lecture Notes in Mathematics , vol.1104 , pp. 175-216
    • Gurevich, Y.1
  • 35
    • 0002041360 scopus 로고
    • Logic and the challenge of computer science
    • (E. Börger, editor), Computer Science Press
    • _, Logic and the challenge of computer science, Current trends in theoretical computer science (E. Börger, editor), Computer Science Press, 1988, pp. 1-57.
    • (1988) Current Trends in Theoretical Computer Science , pp. 1-57
  • 37
    • 38249042304 scopus 로고
    • Fixed point extensions of first-order logic
    • Y. GUREVICH and S. SHELAH, Fixed point extensions of first-order logic, Annals of Pure and Applied Logic, vol. 32 (1986), pp. 265-280.
    • (1986) Annals of Pure and Applied Logic , vol.32 , pp. 265-280
    • Gurevich, Y.1    Shelah, S.2
  • 38
    • 0030538668 scopus 로고    scopus 로고
    • this JOURNAL
    • _, On finite rigid structures, this JOURNAL, vol. 61 (1996), pp. 549-562.
    • (1996) On Finite Rigid Structures , vol.61 , pp. 549-562
  • 39
    • 0000476261 scopus 로고
    • Definability hierarchies of generalized quantifiers
    • L. HELLA, Definability hierarchies of generalized quantifiers, Annals of Pure and Applied Logic, vol. 43 (1989), pp. 235-271.
    • (1989) Annals of Pure and Applied Logic , vol.43 , pp. 235-271
    • Hella, L.1
  • 40
    • 0002876334 scopus 로고    scopus 로고
    • Logical hierarchies in PTIME
    • _, Logical hierarchies in PTIME, Information and Computation, vol. 129 (1996), pp. 1-19.
    • (1996) Information and Computation , vol.129 , pp. 1-19
  • 41
    • 0030450398 scopus 로고    scopus 로고
    • Almost everywhere equivalence of logics infinite model theory
    • L. HELLA, PH. G. KOLAITIS, and K. LUOSTO, Almost everywhere equivalence of logics infinite model theory, Bulletin of Symbolic Logic, vol. 2 (1996), pp. 422-443.
    • (1996) Bulletin of Symbolic Logic , vol.2 , pp. 422-443
    • Hella, L.1    Kolaitis, Ph.G.2    Luosto, K.3
  • 42
    • 0031576314 scopus 로고    scopus 로고
    • How to define a linear order on finite models
    • _, How to define a linear order on finite models, Annals of Pure and Applied Logic, vol. 87 (1997), pp. 241-267.
    • (1997) Annals of Pure and Applied Logic , vol.87 , pp. 241-267
  • 43
    • 0004240663 scopus 로고
    • Cambridge University Press
    • W. HODGES, Model theory, Cambridge University Press, 1993.
    • (1993) Model Theory
    • Hodges, W.1
  • 45
    • 0002327753 scopus 로고
    • Upper and lower bounds for first-order expressibility
    • N. IMMERMAN, Upper and lower bounds for first-order expressibility, Journal of Computer and System Sciences, vol. 25 (1982), pp. 76-98.
    • (1982) Journal of Computer and System Sciences , vol.25 , pp. 76-98
    • Immerman, N.1
  • 46
    • 0022500426 scopus 로고
    • Relational queries computable in polynomial time
    • _, Relational queries computable in polynomial time, Information and Control, vol. 68 (1986), pp. 86-104.
    • (1986) Information and Control , vol.68 , pp. 86-104
  • 48
    • 0023400985 scopus 로고
    • Languages that capture complexity classes
    • _, Languages that capture complexity classes, SIAM Journal on Computing, vol. 16 (1987), pp. 760-778.
    • (1987) SIAM Journal on Computing , vol.16 , pp. 760-778
  • 49
    • 0001613776 scopus 로고
    • Describing graphs: A first-order approach to graph canonization
    • (A. Selman, editor), Springer-Verlag
    • N. IMMERMAN and E. LANDER, Describing graphs: A first-order approach to graph canonization, Complexity theory retrospective (A. Selman, editor), Springer-Verlag, 1990, pp. 59-81.
    • (1990) Complexity Theory Retrospective , pp. 59-81
    • Immerman, N.1    Lander, E.2
  • 52
    • 38249011458 scopus 로고
    • Infinitary logic and 0-1 laws
    • _, Infinitary logic and 0-1 laws, Information and Computation, vol. 98 (1992), pp. 258-294.
    • (1992) Information and Computation , vol.98 , pp. 258-294
  • 53
    • 0039225016 scopus 로고
    • Infinitary logic for computer science
    • Proceedings of the 19th International Colloquium on Automata, Languages and Programming, Springer-Verlag
    • _, Infinitary logic for computer science, Proceedings of the 19th international colloquium on automata, languages and programming, Lecture Notes in Computer Science, vol. 623, Springer-Verlag, 1992, pp. 450-473.
    • (1992) Lecture Notes in Computer Science , vol.623 , pp. 450-473
  • 55
    • 0026417006 scopus 로고
    • An analysis of fixed-point queries on binary trees
    • S. LINDELL, An analysis of fixed-point queries on binary trees, Theoretical Computer Science, vol. 85 (1991), pp. 75-95.
    • (1991) Theoretical Computer Science , vol.85 , pp. 75-95
    • Lindell, S.1
  • 58
  • 61
    • 0005495328 scopus 로고
    • On nonmonotone inductive definability
    • Y. N. MOSCHOVAKIS, On nonmonotone inductive definability, Fundamenta Mathematicae, vol. 82 (1974), pp. 39-83.
    • (1974) Fundamenta Mathematicae , vol.82 , pp. 39-83
    • Moschovakis, Y.N.1
  • 64
    • 0003321827 scopus 로고    scopus 로고
    • Bounded variable logics and counting
    • Springer-Verlag
    • _, Bounded variable logics and counting, Lecture Notes in Logic, vol. 9, Springer-Verlag, 1997.
    • (1997) Lecture Notes in Logic , vol.9
  • 67
    • 0000763102 scopus 로고
    • this JOURNAL
    • n, this JOURNAL, vol. 47 (1982), pp. 641-658.
    • (1982) n , vol.47 , pp. 641-658
    • Poizat, B.1
  • 68
    • 0002727657 scopus 로고
    • Logics with denumerably long formulas and finite strings of quantifiers
    • (J. W. Addison, L. Henkin, and A. Tarski, editors), North-Holland
    • D. SCOTT, Logics with denumerably long formulas and finite strings of quantifiers, Theory of models (J. W. Addison, L. Henkin, and A. Tarski, editors), North-Holland, 1965, pp. 329-341.
    • (1965) Theory of Models , pp. 329-341
    • Scott, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.