메뉴 건너뛰기




Volumn 8, Issue 3, 2002, Pages 380-403

Some aspects of model theory and finite structures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036744383     PISSN: 10798986     EISSN: None     Source Type: Journal    
DOI: 10.2178/bsl/1182353894     Document Type: Article
Times cited : (38)

References (73)
  • 1
    • 84976862916 scopus 로고
    • Monotone versus positive
    • M. Ajtai and Y Gurevich, Monotone versus positive, Journal of the ACM, vol. 34 (1987), pp. 1004-1015.
    • (1987) Journal of the ACM , vol.34 , pp. 1004-1015
    • Ajtai, M.1    Gurevich, Y.2
  • 3
    • 0010705771 scopus 로고    scopus 로고
    • Syntax vs. Semantics on finite structures, Structures in logic and computer science
    • (J. Mycielski, G. Rozenberg, and A. Salomaa, editors), LNCS, Springer-Verlag
    • N. Alechina and Y Gurevich, Syntax vs. semantics on finite structures, Structures in logic and computer science. A selection of essays in honor of A. Ehrenfeucht (J. Mycielski, G. Rozenberg, and A. Salomaa, editors), LNCS, vol. 1261, Springer-Verlag, 1997, pp. 14-33.
    • (1997) A Selection of Essays in Honor of A. Ehrenfeucht , vol.1261 , pp. 14-33
    • Alechina, N.1    Gurevich, Y.2
  • 11
    • 84959697692 scopus 로고
    • On the structure of abstract algebras
    • G. Birkhoff, On the structure of abstract algebras, Proc. Camb. Phil. Soc., vol. 31 (1935), pp. 433-454.
    • (1935) Proc. Camb. Phil. Soc. , vol.31 , pp. 433-454
    • Birkhoff, G.1
  • 12
    • 85037877719 scopus 로고    scopus 로고
    • The classical decision problem, SpringerVerlag
    • E. Borger, E. GrAdel, and Y Gurevich, The classical decision problem, SpringerVerlag, 1997.
    • (1997)
    • Borger, E.1    Gradel, E.2    Gurevich, Y.3
  • 14
    • 0031576454 scopus 로고    scopus 로고
    • Model theory offinite fields and pseudo-finite fields
    • Z. Chatzidakis, Model theory offinite fields and pseudo-finite fields, Annals of Pure and Applied Logic, vol. 88 (1997), pp. 95-108.
    • (1997) Annals of Pure and Applied Logic , vol.88 , pp. 95-108
    • Chatzidakis, Z.1
  • 21
    • 0010747499 scopus 로고
    • Some useful preservation theorems
    • K. Compton, Some useful preservation theorems, The Journal of Symbolic Logic, vol. 48 (1983), pp. 427-440.
    • (1983) The Journal of Symbolic Logic , vol.48 , pp. 427-440
    • Compton, K.1
  • 23
    • 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 (1994), pp. 160-175.
    • (1994) Information and Computation , vol.119 , pp. 160-175
    • Dawar, A.1    Lindell, S.2    Weinstein, S.3
  • 25
    • 0035534354 scopus 로고    scopus 로고
    • Finite variable logic, stability and finite models
    • M. Djordjevic, Finite variable logic, stability and finite models, The Journal of Symbolic Logic, vol. 66 (2001), pp. 837-858.
    • (2001) The Journal of Symbolic Logic , vol.66 , pp. 837-858
    • Djordjevic, M.1
  • 27
    • 0002950863 scopus 로고
    • Probabilities on finitemodels
    • R. Fagin, Probabilities on finitemodels, The Journal of Symbolic Logic, vol. 41 (1976), pp. 50-58.
    • (1976) The Journal of Symbolic Logic , vol.41 , pp. 50-58
    • Fagin, R.1
  • 28
    • 0041178749 scopus 로고
    • Pseudo-endliche Gruppen, Seminarber., Humboldt-Univ. Berlin, Sekt
    • U. Felgner, Pseudo-endliche Gruppen, Seminarber., Humboldt-Univ. Berlin, Sekt. Math., vol. 110 (1990), pp. 82-96.
    • (1990) Math. , vol.110 , pp. 82-96
    • Felgner, U.1
  • 31
    • 0030605368 scopus 로고    scopus 로고
    • Hierarchies in transitive closure logic, stratified Datalog and infinitary logic
    • E. GrAdel and G. McColm, Hierarchies in transitive closure logic, stratified Datalog and infinitary logic, Annals of Pure and Applied Logic, vol. 77 (1996), pp. 166-199.
    • (1996) Annals of Pure and Applied Logic , vol.77 , pp. 166-199
    • Gradel, E.1    McColm, G.2
  • 32
    • 0033455116 scopus 로고    scopus 로고
    • On preservation theorems for two-variable logic
    • E. GrAdel and E. Rosen, On preservation theorems for two-variable logic, Mathematical Logic Quarterly, vol. 45 (1999), pp. 315-325.
    • (1999) Mathematical Logic Quarterly , vol.45 , pp. 315-325
    • Gradel, E.1    Rosen, E.2
  • 33
    • 0001638356 scopus 로고    scopus 로고
    • Existential least fixed-point logic and its relatives
    • M. Grohe, Existential least fixed-point logic and its relatives, Journal of Logic and Computation, vol. 7 (1997), pp. 205-228.
    • (1997) Journal of Logic and Computation , vol.7 , pp. 205-228
    • Grohe, M.1
  • 36
    • 0001334387 scopus 로고
    • Extending partial isomorphisms on finite structures
    • B. Herwig, Extending partial isomorphisms on finite structures, Combinatorica, vol. 115 (1995), pp. 365-371.
    • (1995) Combinatorica , vol.115 , pp. 365-371
    • Herwig, B.1
  • 37
    • 0032428531 scopus 로고    scopus 로고
    • Extending partial isomorphisms for the small index property of many w- categorical structures
    • B. Herwig, Extending partial isomorphisms for the small index property of many w- categorical structures, Israel Journal of Mathematics, vol. 107 (1997), pp. 93-123.
    • (1997) Israel Journal of Mathematics , vol.107 , pp. 93-123
    • Herwig, B.1
  • 38
    • 23044518051 scopus 로고    scopus 로고
    • Extending partial isomorphisms and the profinite topology on free groups
    • B. Herwig and D. Lascar, Extending partial isomorphisms and the profinite topology on free groups, Transactions of the American Mathematical Society, vol. 352 (2000), pp. 1985-2021.
    • (2000) Transactions of the American Mathematical Society , vol.352 , pp. 1985-2021
    • Herwig, B.1    Lascar, D.2
  • 39
    • 0010741866 scopus 로고
    • (Aachen, 1983) (G. H. Müller and M. M. Richter, editors), Lecture Notes in Mathematics, Springer-Verlag
    • W. Hodges, Finite extensions and finite groups, Models and sets (Aachen, 1983) (G. H. Müller and M. M. Richter, editors), Lecture Notes in Mathematics, vol. 1103, Springer-Verlag, 1984, pp. 193-206.
    • (1984) Finite Extensions and Finite Groups, Models and Sets , vol.1103 , pp. 193-206
    • Hodges, W.1
  • 40
    • 85037896965 scopus 로고
    • Model theory, Cambridge University Press
    • W. Hodges, Model theory, Cambridge University Press, 1993.
    • (1993)
    • Hodges, W.1
  • 42
    • 0000202689 scopus 로고
    • Extending partial isomorphisms of graphs
    • E. Hrushovski, Extending partial isomorphisms of graphs, Combinatorica, vol. 12 (1992), pp. 411-416.
    • (1992) Combinatorica , vol.12 , pp. 411-416
    • Hrushovski, E.1
  • 45
    • 0034405645 scopus 로고    scopus 로고
    • On stability in finite models
    • T. Hyttinen, On stability in finite models, Archive for Mathematical Logic, vol. 39 (2000), pp. 89-102.
    • (2000) Archive for Mathematical Logic , vol.39 , pp. 89-102
    • Hyttinen, T.1
  • 47
    • 0024771254 scopus 로고
    • Definability with bounded number of bound variables
    • N. Immerman and D. Kozen, Definability with bounded number of bound variables, Information and Computation, vol. 83 (1989), pp. 121-139.
    • (1989) Information and Computation , vol.83 , pp. 121-139
    • Immerman, N.1    Kozen, D.2
  • 48
  • 51
    • 0002220222 scopus 로고
    • Homogeneous structures
    • (A. Gleason, editor), American Mathematical Society
    • A. H. Lachlan, Homogeneous structures, Proceedings of the ICM1986 (A. Gleason, editor), American Mathematical Society, 1987, pp. 314-321.
    • (1987) Proceedings of the ICM1986 , pp. 314-321
    • Lachlan, A.H.1
  • 55
    • 84972487848 scopus 로고
    • An interpolation theorem in the predicate calculus
    • R. C. Lyndon, An interpolation theorem in the predicate calculus, Pacific Journal of Mathematics, vol. 9 (1959), pp. 129-142.
    • (1959) Pacific Journal of Mathematics , vol.9 , pp. 129-142
    • Lyndon, R.C.1
  • 56
    • 84972528631 scopus 로고
    • Properties preserved under homomorphism
    • R. C. Lyndon, Properties preserved under homomorphism, Pacific Journal of Mathematics, vol. 9 (1959), pp. 143-154.
    • (1959) Pacific Journal of Mathematics , vol.9 , pp. 143-154
    • Lyndon, R.C.1
  • 57
    • 84972517080 scopus 로고
    • Finite axiomatizability and theories with trivial algebraic closure
    • D. Macpherson, Finite axiomatizability and theories with trivial algebraic closure, Notre Dame Journal of Formal Logic, vol. 32 (1991), pp. 188-192.
    • (1991) Notre Dame Journal of Formal Logic , vol.32 , pp. 188-192
    • Macpherson, D.1
  • 63
    • 4243455583 scopus 로고    scopus 로고
    • Logic and random structures, American Mathematical Society
    • E. Rosen, S. SheLah, and S. Wernstern, k-universal graphs, Logic and random structures, American Mathematical Society, 1997, pp. 65-77.
    • (1997) K-Universal Graphs , pp. 65-77
    • Rosen, E.1    Shelah, S.2    Wernstern, S.3
  • 69
    • 0010700722 scopus 로고
    • A counterexample to a conjecture of Scott and Suppes
    • W. W. Tait, A counterexample to a conjecture of Scott and Suppes, The Journal of Symbolic Logic, vol. 24 (1959), pp. 15-16.
    • (1959) The Journal of Symbolic Logic , vol.24 , pp. 15-16
    • Tait, W.W.1
  • 70
    • 0000635907 scopus 로고
    • Theories with finitely many models
    • S. Thomas, Theories with finitely many models, The Journal of Symbolic Logic, vol. 51 (1986), pp. 374-376.
    • (1986) The Journal of Symbolic Logic , vol.51 , pp. 374-376
    • Thomas, S.1
  • 71
    • 0000297613 scopus 로고
    • Jr., Finite partially-ordered quantification
    • W. Walküe, Jr., Finite partially-ordered quantification, The Journal of Symbolic Logic, vol. 35 (1970), pp. 535-555.
    • (1970) The Journal of Symbolic Logic , vol.35 , pp. 535-555
    • Walküe, W.1
  • 73
    • 0013517019 scopus 로고
    • Otally categorical theories; structural properties and non-finite axiomatiz-ability
    • (L. Pacholski et al., editors)
    • B. Zilber, Totally categorical theories; structural properties and non-finite axiomatiz-ability, Proceedings: Model Theory of Algebra and Arithmetic (L. Pacholski et al., editors), 1979, pp. 381-410
    • (1979) Proceedings: Model Theory of Algebra and Arithmetic , pp. 381-410
    • Zilber, B.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.