메뉴 건너뛰기




Volumn 1, Issue 5-6, 2003, Pages 309-392

Mathematical modal logic: A view of its evolution

Author keywords

Boolean algebra; History of logic; Kripke semantics; Modal logic

Indexed keywords

BOOLEAN ALGEBRA; COMPUTER SCIENCE; COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL OPERATORS; SEMANTICS;

EID: 2942697713     PISSN: 15708683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1570-8683(03)00008-9     Document Type: Article
Times cited : (86)

References (279)
  • 1
    • 0003253658 scopus 로고
    • Non-well-founded sets
    • CSLI Publications, Stanford University
    • P. Aczel, Non-Well-Founded Sets, in: CSLI Lecture Notes, Vol. 14, CSLI Publications, Stanford University, 1988.
    • (1988) CSLI Lecture Notes , vol.14
    • Aczel, P.1
  • 2
    • 4444312149 scopus 로고    scopus 로고
    • The russell-prawitz modality
    • P. Aczel, The Russell-Prawitz modality, Math. Struct. Comput. Sci. 11 (4) (2001) 541-554.
    • (2001) Math. Struct. Comput. Sci. , vol.11 , Issue.4 , pp. 541-554
    • Aczel, P.1
  • 3
    • 33645247349 scopus 로고    scopus 로고
    • Bibliography: Hugh macColl
    • Electronically
    • M. Astroh, J.W. Klüwer, Bibliography: Hugh MacColl, Nordic J. Philos. Logic 3 (1) (1998). Electronically available at: http://www.hf.uio.no/filosofi/njpl/vo13no1/index.html.
    • (1998) Nordic J. Philos. Logic , vol.3 , Issue.1
    • Astroh, M.1    Klüwer, J.W.2
  • 4
    • 0003372234 scopus 로고
    • The situation in logic
    • CSLI Publications, Stanford University
    • J. Barwise, The Situation in Logic, in: CSLI Lecture Notes, Vol. 17, CSLI Publications, Stanford University, 1989.
    • (1989) CSLI Lecture Notes , vol.17
    • Barwise, J.1
  • 5
    • 33645251972 scopus 로고
    • Correction de la logique modale du premier et du second ordre S5
    • A. Bayart, Correction de la logique modale du premier et du second ordre S5, Logique et Anal. 1(1) (1958) 28-45.
    • (1958) Logique et Anal. , vol.1 , Issue.1 , pp. 28-45
    • Bayart, A.1
  • 6
    • 33645246553 scopus 로고
    • Quasi-adéquation de la logique modal du second ordre S5 et adéquation de la logique modal du premier ordre S5
    • A. Bayart, Quasi-adéquation de la logique modal du second ordre S5 et adéquation de la logique modal du premier ordre S5, Logique et Anal. 2 (6-7) (1959) 99-121.
    • (1959) Logique et Anal. , vol.2 , Issue.6-7 , pp. 99-121
    • Bayart, A.1
  • 9
    • 0020880468 scopus 로고
    • The temporal logic of branching time
    • M. Ben-Ari, A. Pnueli, Z. Manna, The temporal logic of branching time, Acta Inform. 20 (1983) 207-226.
    • (1983) Acta Inform. , vol.20 , pp. 207-226
    • Ben-Ari, M.1    Pnueli, A.2    Manna, Z.3
  • 12
    • 33750110801 scopus 로고
    • Mededelingen van de Koninklijke Nederlandse Akademie van Wetenschappen, Afdeling Letterkunde, N.R. . Reprinted in: J. Hintikka (Ed.), The Philosophy of Mathematics, Oxford University Press, Oxford, 1969
    • E.W. Beth, Semantic entailment and formal derivability, Mededelingen van de Koninklijke Nederlandse Akademie van Wetenschappen, Afdeling Letterkunde, N.R. 18 (1955) 309-342. Reprinted in: J. Hintikka (Ed.), The Philosophy of Mathematics, Oxford University Press, Oxford, 1969.
    • (1955) Semantic Entailment and Formal Derivability , vol.18 , pp. 309-342
    • Beth, E.W.1
  • 13
    • 84958735421 scopus 로고
    • On the combination of subalgebras
    • G. Birkhoff, On the combination of subalgebras, Proc. Cambridge Philos. Soc. 29 (1933) 441-464.
    • (1933) Proc. Cambridge Philos. Soc. , vol.29 , pp. 441-464
    • Birkhoff, G.1
  • 14
    • 84959697692 scopus 로고
    • On the structure of abstract algebras
    • G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. 31 (1935) 433-454.
    • (1935) Proc. Cambridge Philos. Soc. , vol.31 , pp. 433-454
    • Birkhoff, G.1
  • 15
    • 0000598012 scopus 로고
    • Subdirect unions in universal algebra
    • G. Birkhoff, Subdirect unions in universal algebra, Bull. Amer. Math. Soc. 50 (1944) 764-768.
    • (1944) Bull. Amer. Math. Soc. , vol.50 , pp. 764-768
    • Birkhoff, G.1
  • 16
  • 17
    • 33645248541 scopus 로고
    • On the degree of incompleteness of modal logics
    • W.J. Blok, On the degree of incompleteness of modal logics, Bull. Sect. Logic Polish Acad. Sci. 7 (4) (1978) 167-175.
    • (1978) Bull. Sect. Logic Polish Acad. Sci. , vol.7 , Issue.4 , pp. 167-175
    • Blok, W.J.1
  • 19
    • 0000761109 scopus 로고
    • The lattice of modal logics: An algebraic investigation
    • W.J. Blok, The lattice of modal logics: an algebraic investigation, J. Symbolic Logic 45 (1980) 221-236.
    • (1980) J. Symbolic Logic , vol.45 , pp. 221-236
    • Blok, W.J.1
  • 24
    • 0009889638 scopus 로고
    • An incomplete system of modal logic
    • G. Boolos, G. Sambin, An incomplete system of modal logic, J. Philos. Logic 14 (1985) 351-358.
    • (1985) J. Philos. Logic , vol.14 , pp. 351-358
    • Boolos, G.1    Sambin, G.2
  • 25
    • 0009889470 scopus 로고
    • Provability: The emergence of a mathematical modality
    • G. Boolos, G. Sambin, Provability: the emergence of a mathematical modality, Studia Logica 50 (1991) 1-23.
    • (1991) Studia Logica , vol.50 , pp. 1-23
    • Boolos, G.1    Sambin, G.2
  • 26
    • 0002176420 scopus 로고    scopus 로고
    • Modal logics and mu-calculi: An introduction
    • J.A. Bergstra, A. Ponse, S.A. Smolka (Eds.), Elsevier, Amsterdam
    • J. Bradfield, C. Stirling, Modal logics and mu-calculi: An introduction, in: J.A. Bergstra, A. Ponse, S.A. Smolka (Eds.), Handbook of Process Algebra, Elsevier, Amsterdam, 2001, pp. 293-330.
    • (2001) Handbook of Process Algebra , pp. 293-330
    • Bradfield, J.1    Stirling, C.2
  • 27
    • 33645258480 scopus 로고
    • A note on the modal calculi S4.2 and S4.3
    • R.A. Bull, A note on the modal calculi S4.2 and S4.3, Z. Math. Logik Grundlag. Math. 10 (1964) 53-55.
    • (1964) Z. Math. Logik Grundlag. Math. , vol.10 , pp. 53-55
    • Bull, R.A.1
  • 28
    • 0012670992 scopus 로고
    • An algebraic study of Diodorean modal systems
    • R.A. Bull, An algebraic study of Diodorean modal systems, J. Symbolic Logic 30 (1965) 58-64.
    • (1965) J. Symbolic Logic , vol.30 , pp. 58-64
    • Bull, R.A.1
  • 29
    • 0000756991 scopus 로고
    • That all normal extensions of S4.3 have the finite model property
    • R.A. Bull, That all normal extensions of S4.3 have the finite model property, Z. Math. Logik Grundlag. Math. 12 (1966) 341-344.
    • (1966) Z. Math. Logik Grundlag. Math. , vol.12 , pp. 341-344
    • Bull, R.A.1
  • 30
    • 0002517211 scopus 로고
    • An algebraic study of tense logics with linear time
    • R.A. Bull, An algebraic study of tense logics with linear time, J. Symbolic Logic 33 (1968) 27-38.
    • (1968) J. Symbolic Logic , vol.33 , pp. 27-38
    • Bull, R.A.1
  • 31
    • 33645258347 scopus 로고
    • Note on a paper in tense logic
    • R.A. Bull, Note on a paper in tense logic, J. Symbolic Logic 34 (1969) 215-218.
    • (1969) J. Symbolic Logic , vol.34 , pp. 215-218
    • Bull, R.A.1
  • 32
    • 0041720442 scopus 로고
    • Modalities and quantification
    • R. Carnap, Modalities and quantification, J. Symbolic Logic 11 (1946) 33-64.
    • (1946) J. Symbolic Logic , vol.11 , pp. 33-64
    • Carnap, R.1
  • 33
    • 0003989950 scopus 로고
    • University of Chicago Press, Chicago, Enlarged Edition 1956
    • R. Carnap, Meaning and Necessity, University of Chicago Press, Chicago, 1947. Enlarged Edition 1956.
    • (1947) Meaning and Necessity
    • Carnap, R.1
  • 36
    • 85037030721 scopus 로고
    • Design and synthesis of synchronisation skeletons using branching time temporal logic
    • D. Kozen (Ed.), Logics of Programs, Springer, Berlin
    • E.M. Clarke, E.A. Emerson, Design and synthesis of synchronisation skeletons using branching time temporal logic, in: D. Kozen (Ed.), Logics of Programs, in: Lecture Notes in Computer Science, Vol. 131, Springer, Berlin, 1981, pp. 52-71.
    • (1981) Lecture Notes in Computer Science , vol.131 , pp. 52-71
    • Clarke, E.M.1    Emerson, E.A.2
  • 40
    • 84972529410 scopus 로고
    • A Henkin completeness theorem for T
    • M.J. Cresswell, A Henkin completeness theorem for T, Notre Dame J. Formal Logic 8 (1967) 186-190.
    • (1967) Notre Dame J. Formal Logic , vol.8 , pp. 186-190
    • Cresswell, M.J.1
  • 41
    • 84972508269 scopus 로고
    • The completeness of S 1 and some related systems
    • M.J. Cresswell, The completeness of S 1 and some related systems, Notre Dame J. Formal Logic 13 (1972) 485-496.
    • (1972) Notre Dame J. Formal Logic , vol.13 , pp. 485-496
    • Cresswell, M.J.1
  • 43
    • 33645262670 scopus 로고
    • An incomplete decidable modal logic
    • M.J. Cresswell, An incomplete decidable modal logic, J. Symbolic Logic 49 (1984) 520-527.
    • (1984) J. Symbolic Logic , vol.49 , pp. 520-527
    • Cresswell, M.J.1
  • 44
    • 33645252815 scopus 로고
    • S1 is not so simple
    • W. Sinnott-Armstrong, D. Raffman, N. Asher (Eds.), Essays in Honor of Ruth Barcan Marcus, Cambridge University Press, Cambridge
    • M.J. Cresswell, S1 is not so simple, in: W. Sinnott-Armstrong, D. Raffman, N. Asher (Eds.), Modality, Morality and Belief. Essays in Honor of Ruth Barcan Marcus, Cambridge University Press, Cambridge, 1995, pp. 29-40.
    • (1995) Modality, Morality and Belief , pp. 29-40
    • Cresswell, M.J.1
  • 45
    • 0004253821 scopus 로고
    • A theory of formal deducibility
    • University of Notre Dame
    • H.B. Curry, A Theory of Formal Deducibility, in: Notre Dame Mathematical Lectures, Vol. 6, University of Notre Dame, 1950.
    • (1950) Notre Dame Mathematical Lectures , vol.6
    • Curry, H.B.1
  • 46
    • 0347006812 scopus 로고
    • The elimination theorem when modality is present
    • H.B. Curry, The elimination theorem when modality is present, J. Symbolic Logic 17 (1952) 249-265.
    • (1952) J. Symbolic Logic , vol.17 , pp. 249-265
    • Curry, H.B.1
  • 47
    • 0028420232 scopus 로고
    • CTL* and ECTL* as fragments of the modal μ-calculus
    • M. Dam, CTL* and ECTL* as fragments of the modal μ-calculus, Theoret. Comput. Sci. 126 (1994) 77-96.
    • (1994) Theoret. Comput. Sci. , vol.126 , pp. 77-96
    • Dam, M.1
  • 48
    • 33645258916 scopus 로고
    • Modal operators, equivalence relations, and projective algebras
    • C. Davis, Modal operators, equivalence relations, and projective algebras, Amer. J. Math. 76 (1954) 747-762.
    • (1954) Amer. J. Math. , vol.76 , pp. 747-762
    • Davis, C.1
  • 49
    • 33645250229 scopus 로고    scopus 로고
    • Beths nonclassical valuations
    • D. de Jongh, P. van Ulsen, Beths nonclassical valuations, Philos. Sci. 3 (4) (1998-1999) 279-302.
    • (1998) Philos. Sci. , vol.3 , Issue.4 , pp. 279-302
    • De Jongh, D.1    Van Ulsen, P.2
  • 50
    • 4544384571 scopus 로고
    • On the connection of partially ordered sets with some pseudo-Boolean algebras
    • D.H.J. de Jongh, A.S. Troelstra, On the connection of partially ordered sets with some pseudo-Boolean algebras, Indag. Math. 28 (1966) 317-329.
    • (1966) Indag. Math. , vol.28 , pp. 317-329
    • De Jongh, D.H.J.1    Troelstra, A.S.2
  • 51
    • 0002797579 scopus 로고
    • Sahlqvists theorem for Boolean algebras with operators with an application to cylindric algebras
    • M. de Rijke, Y. Venema, Sahlqvists theorem for Boolean algebras with operators with an application to cylindric algebras, Studia Logica 54 (1995) 61-78.
    • (1995) Studia Logica , vol.54 , pp. 61-78
    • De Rijke, M.1    Venema, Y.2
  • 52
    • 51249171746 scopus 로고
    • Duality between modal algebras and neighbourhood frames
    • K. Došen, Duality between modal algebras and neighbourhood frames, Studia Logica 48 (1989) 219-234.
    • (1989) Studia Logica , vol.48 , pp. 219-234
    • Došen, K.1
  • 53
    • 33645272623 scopus 로고
    • Note on a property of matrices for Lewis and Langfords calculi of propositions
    • J. Dugundji, Note on a property of matrices for Lewis and Langfords calculi of propositions, J. Symbolic Logic 5 (1940) 150-151.
    • (1940) J. Symbolic Logic , vol.5 , pp. 150-151
    • Dugundji, J.1
  • 56
    • 84949208566 scopus 로고
    • Characterizing correctness properties of parallel programs using fixpoints
    • J.W. de Bakker, J. van Leeuwen (Eds.), Automata, Languages and Programming. Proceedings, 1980, Springer, Berlin
    • E.A. Emerson, E.M. Clarke, Characterizing correctness properties of parallel programs using fixpoints, in: J.W. de Bakker, J. van Leeuwen (Eds.), Automata, Languages and Programming. Proceedings, 1980, in: Lecture Notes in Comput. Sei., Vol. 85, Springer, Berlin, 1980, pp. 169-181.
    • (1980) Lecture Notes in Comput. Sei. , vol.85 , pp. 169-181
    • Emerson, E.A.1    Clarke, E.M.2
  • 58
    • 0022012464 scopus 로고
    • Decision procedures and expressiveness in the temporal logic of branching time
    • E.A. Emerson, J.Y. Halpern, Decision procedures and expressiveness in the temporal logic of branching time, J. Comput. Systems Sci. 30 (1985) 1-24.
    • (1985) J. Comput. Systems Sci. , vol.30 , pp. 1-24
    • Emerson, E.A.1    Halpern, J.Y.2
  • 59
    • 0022514018 scopus 로고
    • Sometimes" and "not never" revisited: On branching versus linear time temporal logic
    • E.A. Emerson, J.Y. Halpern, Sometimes" and "not never" revisited: On branching versus linear time temporal logic, J. ACM 33 (1986) 151-178.
    • (1986) J. ACM , vol.33 , pp. 151-178
    • Emerson, E.A.1    Halpern, J.Y.2
  • 61
    • 0343168149 scopus 로고    scopus 로고
    • The complexity of tree automata and logics of programs
    • E.A. Emerson, C.S. Jutla, The complexity of tree automata and logics of programs, SIAM J. Comput. 29 (1999) 132-158.
    • (1999) SIAM J. Comput. , vol.29 , pp. 132-158
    • Emerson, E.A.1    Jutla, C.S.2
  • 62
    • 0348152457 scopus 로고
    • Topological kripke models
    • L.L. Ésakia, Topological Kripke models, Soviet Math. Dokl. 15 (1974) 147-151.
    • (1974) Soviet Math. Dokl. , vol.15 , pp. 147-151
    • Ésakia, L.L.1
  • 65
    • 3042876857 scopus 로고
    • An intuitionistic modal logic with applications to the formal verification of hardware
    • L. Pacholoski, J. Tiuryn (Eds.), Computer Science Logic. Proceedings 1994, Springer, Berlin
    • M. Fairtlough, M. Mendler, An intuitionistic modal logic with applications to the formal verification of hardware, in: L. Pacholoski, J. Tiuryn (Eds.), Computer Science Logic. Proceedings 1994, in: Lecture Notes in Comput. Sci., Vol. 933, Springer, Berlin, 1995, pp. 354-368.
    • (1995) Lecture Notes in Comput. Sci. , vol.933 , pp. 354-368
    • Fairtlough, M.1    Mendler, M.2
  • 67
  • 68
    • 84932273578 scopus 로고
    • An incomplete logic containing S4
    • K. Fine, An incomplete logic containing S4, Theoria 40 (1974) 23-29.
    • (1974) Theoria , vol.40 , pp. 23-29
    • Fine, K.1
  • 69
    • 84972504094 scopus 로고
    • Normal forms in modal logic
    • K. Fine, Normal forms in modal logic, Notre Dame J. Formal Logic 16 (1975) 229-234.
    • (1975) Notre Dame J. Formal Logic , vol.16 , pp. 229-234
    • Fine, K.1
  • 70
    • 77956977555 scopus 로고
    • Some connections between elementary and modal logic
    • S. Kanger (Ed.), North-Holland, Amsterdam
    • K. Fine, Some connections between elementary and modal logic, in: S. Kanger (Ed.), Proceedings of the Third Scandinavian Logic Symposium, North-Holland, Amsterdam, 1975, pp. 15-31.
    • (1975) Proceedings of the Third Scandinavian Logic Symposium , pp. 15-31
    • Fine, K.1
  • 72
    • 0018454915 scopus 로고
    • Prepositional dynamic logic of regular programs
    • M.J. Fischer, R.E. Ladner, Prepositional dynamic logic of regular programs, J. Comput. Systems Sci. 18 (1979) 194-211.
    • (1979) J. Comput. Systems Sci. , vol.18 , pp. 194-211
    • Fischer, M.J.1    Ladner, R.E.2
  • 73
    • 0011262676 scopus 로고
    • Intuitionistic modal logic with quantifiers
    • F.B. Fitch, Intuitionistic modal logic with quantifiers, Portugaliae Mathematicae 7 (1948) 113-118.
    • (1948) Portugaliae Mathematicae , vol.7 , pp. 113-118
    • Fitch, F.B.1
  • 74
    • 77956959186 scopus 로고
    • Stig Kanger in memoriam
    • D. Prawitz, B. Skyrms, D. Westerståhl (Eds.), North-Holland, Amsterdam
    • D. Føllesdal, Stig Kanger in memoriam, in: D. Prawitz, B. Skyrms, D. Westerståhl (Eds.), Logic, Methodology and Philosophy of Science IX, North-Holland, Amsterdam, 1994, pp. 885-888.
    • (1994) Logic, Methodology and Philosophy of Science , vol.9 , pp. 885-888
    • Føllesdal, D.1
  • 75
    • 51249191444 scopus 로고
    • On decidable, finitely axiomatizable, modal and tense logics without the finite model property, part i
    • D.M. Gabbay, On decidable, finitely axiomatizable, modal and tense logics without the finite model property, part I, Israel J. Math. 11 (1972) 478-495.
    • (1972) Israel J. Math. , vol.11 , pp. 478-495
    • Gabbay, D.M.1
  • 79
    • 33645267557 scopus 로고
    • An extension of S4 complete for the neighborhood semantics but incomplete for the relational semantics
    • M. Gerson, An extension of S4 complete for the neighborhood semantics but incomplete for the relational semantics, Studia Logica 34 (1975) 333-342.
    • (1975) Studia Logica , vol.34 , pp. 333-342
    • Gerson, M.1
  • 80
    • 37949034766 scopus 로고
    • The inadequacy of the neighborhood semantics for modal logic
    • M. Gerson, The inadequacy of the neighborhood semantics for modal logic, J. Symbolic Logic 40 (1975) 141-148.
    • (1975) J. Symbolic Logic , vol.40 , pp. 141-148
    • Gerson, M.1
  • 81
    • 84982518975 scopus 로고
    • A neighborhood frame for T with no equivalent relational frame
    • M. Gerson, A neighborhood frame for T with no equivalent relational frame, Z. Math. Logik Grundlag. Math. 22 (1976) 29-34.
    • (1976) Z. Math. Logik Grundlag. Math. , vol.22 , pp. 29-34
    • Gerson, M.1
  • 82
    • 0033474222 scopus 로고    scopus 로고
    • The preservation of Sahlqvist equations in completions of Boolean algebras with operators
    • S. Givant, Y. Venema, The preservation of Sahlqvist equations in completions of Boolean algebras with operators, Algebra Universalis 41 (1999) 47-84.
    • (1999) Algebra Universalis , vol.41 , pp. 47-84
    • Givant, S.1    Venema, Y.2
  • 84
    • 33645266707 scopus 로고
    • English translation
    • S. Feferman, et al. (Eds.), Oxford University Press, Oxford
    • English translation in: S. Feferman, et al. (Eds.), Collected Works, Vol. 1, Oxford University Press, Oxford, 1986, p. 217.
    • (1986) Collected Works , vol.1 , pp. 217
  • 85
    • 0001794166 scopus 로고
    • Eine interpretation des intuitionistischen aussagenkalküls
    • K. Gödel, Eine interpretation des intuitionistischen aussagenkalküls, Ergebnisse eines Mathematischen Kolloquiums 4 (1933) 39-40.
    • (1933) Ergebnisse Eines Mathematischen Kolloquiums , vol.4 , pp. 39-40
    • Gödel, K.1
  • 86
    • 33645267002 scopus 로고
    • English translation, with an introductory note by A.S. Troelstra
    • K. Gödel, in: S. Feferman, et al. (Eds.), Oxford University Press, Oxford
    • English translation, with an introductory note by A.S. Troelstra, in: K. Gödel, in: S. Feferman, et al. (Eds.), Collected Works, Vol. 1, Oxford University Press, Oxford, 1986, pp. 296-303.
    • (1986) Collected Works , vol.1 , pp. 296-303
  • 87
    • 33645264149 scopus 로고
    • Ph.D. Thesis, Victoria University, Wellington, Included in [95]
    • R. Goldblatt, Metamathematics of modal logic, Ph.D. Thesis, Victoria University, Wellington, 1974, Included in [95].
    • (1974) Metamathematics of Modal Logic
    • Goldblatt, R.1
  • 88
    • 33645270640 scopus 로고
    • First-order definability in modal logic
    • R. Goldblatt, First-order definability in modal logic, J. Symbolic Logic 40 (1) (1975) 35-40.
    • (1975) J. Symbolic Logic , vol.40 , Issue.1 , pp. 35-40
    • Goldblatt, R.1
  • 89
    • 84972488106 scopus 로고
    • Solution to a completeness problem of Lemmon and Scott
    • R. Goldblatt, Solution to a completeness problem of Lemmon and Scott, Notre Dame J. Formal Logic 16 (1975) 405-408.
    • (1975) Notre Dame J. Formal Logic , vol.16 , pp. 405-408
    • Goldblatt, R.1
  • 90
    • 84979110381 scopus 로고
    • Arithmetical necessity, provability, and intuitionistic logic
    • Reprinted in [95]
    • R. Goldblatt, Arithmetical necessity, provability, and intuitionistic logic, Theoria 44 (1978) 8-46. Reprinted in [95].
    • (1978) Theoria , vol.44 , pp. 8-46
    • Goldblatt, R.1
  • 91
    • 0346891421 scopus 로고
    • Diodorean modality in Minkowski spacetime
    • Reprinted in [95]
    • R. Goldblatt, Diodorean modality in Minkowski spacetime, Studia Logica 39 (1980) 19-236. Reprinted in [95].
    • (1980) Studia Logica , vol.39 , pp. 19-236
    • Goldblatt, R.1
  • 92
    • 84985366100 scopus 로고
    • Grothendieck topology as geometric modality
    • Reprinted in [95]
    • R. Goldblatt, Grothendieck topology as geometric modality, Z. Math. Logik Grundlag. Math. 27 (1981) 495-529. Reprinted in [95].
    • (1981) Z. Math. Logik Grundlag. Math. , vol.27 , pp. 495-529
    • Goldblatt, R.1
  • 93
    • 33645259074 scopus 로고
    • Review of initial papers on dynamic logic by Pratt, Fischer and Ladner, Segerberg, Parikh and Kozen
    • R. Goldblatt, Review of initial papers on dynamic logic by Pratt, Fischer and Ladner, Segerberg, Parikh and Kozen, J. Symbolic Logic 51 (1986) 225-227.
    • (1986) J. Symbolic Logic , vol.51 , pp. 225-227
    • Goldblatt, R.1
  • 94
    • 0000205398 scopus 로고
    • Varieties of complex algebras
    • R. Goldblatt, Varieties of complex algebras, Ann. Pure Appl. Logic 44 (1989) 173-242.
    • (1989) Ann. Pure Appl. Logic , vol.44 , pp. 173-242
    • Goldblatt, R.1
  • 95
    • 0000707868 scopus 로고
    • The McKinsey axiom is not canonical
    • R. Goldblatt, The McKinsey axiom is not canonical, J. Symbolic Logic 56 (1991) 554-562.
    • (1991) J. Symbolic Logic , vol.56 , pp. 554-562
    • Goldblatt, R.1
  • 96
    • 0007139493 scopus 로고
    • On closure under canonical embedding algebras
    • H. Andréka, J. Monk, I. Németi (Eds.), Algebraic Logic, North-Holland, Amsterdam
    • R. Goldblatt, On closure under canonical embedding algebras, in: H. Andréka, J. Monk, I. Németi (Eds.), Algebraic Logic, in: Colloquia Mathematica Societatis János Bolyai, Vol. 54, North-Holland, Amsterdam, 1991, pp. 217-229.
    • (1991) Colloquia Mathematica Societatis János Bolyai , vol.54 , pp. 217-229
    • Goldblatt, R.1
  • 97
    • 0003363747 scopus 로고
    • Mathematics of Modality
    • CSLI Publications, Stanford, CA, Distributed by Cambridge University Press
    • R. Goldblatt, Mathematics of Modality, in: CSLI Lecture Notes, Vol. 43, CSLI Publications, Stanford, CA, 1993. Distributed by Cambridge University Press.
    • (1993) CSLI Lecture Notes , vol.43
    • Goldblatt, R.1
  • 98
    • 0007441711 scopus 로고
    • Elementary generation and canonicity for varieties of Boolean algebras with operators
    • R. Goldblatt, Elementary generation and canonicity for varieties of Boolean algebras with operators, Algebra Universalis 34 (1995) 551-607.
    • (1995) Algebra Universalis , vol.34 , pp. 551-607
    • Goldblatt, R.1
  • 99
    • 33645254605 scopus 로고    scopus 로고
    • Reflections on a proof of elementarily
    • J. Gerbrandy, M. Marx, M. de Rijke, Y. Venema (Eds.), Essays Dedicated to Johan van Benthem on the Occasion of his 50th Birthday, Vossiuspers, Amsterdam University Press
    • R. Goldblatt, Reflections on a proof of elementarily, in: J. Gerbrandy, M. Marx, M. de Rijke, Y. Venema (Eds.), JFAK. Essays Dedicated to Johan van Benthem on the Occasion of his 50th Birthday, Vossiuspers, Amsterdam University Press, 1999.
    • (1999) JFAK
    • Goldblatt, R.1
  • 100
    • 0007333753 scopus 로고    scopus 로고
    • Algebraic polymodal logic: A survey
    • Special Issue on Algebraic Logic edited by István Németi and Ildikó Sain, Electronically
    • R. Goldblatt, Algebraic polymodal logic: A survey, Logic J. IGPL 8 (4) (2000) 393-450, Special Issue on Algebraic Logic edited by István Németi and Ildikó Sain, Electronically available at: http://www3.oup.co.uk/igpl.
    • (2000) Logic J. IGPL , vol.8 , Issue.4 , pp. 393-450
    • Goldblatt, R.1
  • 101
    • 0035534321 scopus 로고    scopus 로고
    • Quasi-modal equivalence of canonical structures
    • R. Goldblatt, Quasi-modal equivalence of canonical structures, J. Symbolic Logic 66 (2001) 497-508.
    • (2001) J. Symbolic Logic , vol.66 , pp. 497-508
    • Goldblatt, R.1
  • 102
    • 0001125753 scopus 로고
    • Axiomatic classes in prepositional modal logic
    • J.N. Crossley (Ed.), Algebra and Logic, Springer, Berlin
    • R.I. Goldblatt, S.K. Thomason, Axiomatic classes in prepositional modal logic, in: J.N. Crossley (Ed.), Algebra and Logic, in: Lecture Notes in Math., Vol. 450, Springer, Berlin, 1975, pp. 163-173.
    • (1975) Lecture Notes in Math. , vol.450 , pp. 163-173
    • Goldblatt, R.I.1    Thomason, S.K.2
  • 103
    • 2342463124 scopus 로고
    • Some relational systems and the associated topological spaces
    • A. Grzegorczyk, Some relational systems and the associated topological spaces, Fund. Math. 60 (1967) 223-231.
    • (1967) Fund. Math. , vol.60 , pp. 223-231
    • Grzegorczyk, A.1
  • 106
    • 0026853865 scopus 로고
    • A guide to completeness and complexity for modal logics of knowledge and belief
    • J.Y. Halpern, Y. Moses, A guide to completeness and complexity for modal logics of knowledge and belief, Artificial Intelligence 54 (1992) 319-379.
    • (1992) Artificial Intelligence , vol.54 , pp. 319-379
    • Halpern, J.Y.1    Moses, Y.2
  • 107
    • 0007724355 scopus 로고
    • First-Order Dynamic Logic
    • Springer, Berlin
    • D. Harel, First-Order Dynamic Logic, in: Lecture Notes in Comput. Sci., Vol. 68, Springer, Berlin, 1979.
    • (1979) Lecture Notes in Comput. Sci. , vol.68
    • Harel, D.1
  • 108
    • 0001273055 scopus 로고
    • Dynamic logic
    • D. Gabbay, F. Guenthner (Eds.), Extensions of Classical Logic, D. Reidel, Dordrecht
    • D. Harel, Dynamic logic, in: D. Gabbay, F. Guenthner (Eds.), Handbook of Philosophical Logic, Vol. II: Extensions of Classical Logic, D. Reidel, Dordrecht, 1984, pp. 497-604.
    • (1984) Handbook of Philosophical Logic , vol.2 , pp. 497-604
    • Harel, D.1
  • 109
    • 0020194420 scopus 로고
    • Process logic: Expressiveness decidability completeness
    • D. Harel, D. Kozen, R. Parikh, Process logic: Expressiveness decidability completeness, J. Comput. Systems Sci. 25 (1982) 144-170.
    • (1982) J. Comput. Systems Sci. , vol.25 , pp. 144-170
    • Harel, D.1    Kozen, D.2    Parikh, R.3
  • 110
    • 0001218913 scopus 로고
    • Propositional dynamic logic of nonregular programs
    • D. Harel, A. Pnueli, J. Stavi, Propositional dynamic logic of nonregular programs, J. Comput. Systems Sci. 26 (1983) 222-243.
    • (1983) J. Comput. Systems Sci. , vol.26 , pp. 222-243
    • Harel, D.1    Pnueli, A.2    Stavi, J.3
  • 111
    • 84971134668 scopus 로고
    • On the existence of finite models and decision procedures for prepositional calculi
    • R. Harrop, On the existence of finite models and decision procedures for prepositional calculi, Proc. Cambridge Philos. Soc. 54 (1958) 1-13.
    • (1958) Proc. Cambridge Philos. Soc. , vol.54 , pp. 1-13
    • Harrop, R.1
  • 112
    • 0000512506 scopus 로고
    • The completeness of the first-order functional calculus
    • L. Henkin, The completeness of the first-order functional calculus, J. Symbolic Logic 14 (1949) 159-166.
    • (1949) J. Symbolic Logic , vol.14 , pp. 159-166
    • Henkin, L.1
  • 113
    • 0002785435 scopus 로고
    • Completeness in the theory of types
    • L. Henkin, Completeness in the theory of types, J. Symbolic Logic 15 (1950) 81-91.
    • (1950) J. Symbolic Logic , vol.15 , pp. 81-91
    • Henkin, L.1
  • 115
    • 21844519121 scopus 로고
    • A modal logic for message passing processes
    • M. Hennessy, X. Liu, A modal logic for message passing processes, Acta Inform. 32 (1995) 375-393.
    • (1995) Acta Inform. , vol.32 , pp. 375-393
    • Hennessy, M.1    Liu, X.2
  • 116
    • 85034843372 scopus 로고
    • On observing nondeterminism and concurrency
    • J.W. de Bakker, J. van Leeuwen (Eds.), Automata Languages and Programming. Proceedings 1980, Springer, Berlin
    • M. Hennessy, R. Milner, On observing nondeterminism and concurrency, in: J.W. de Bakker, J. van Leeuwen (Eds.), Automata Languages and Programming. Proceedings 1980, in: Lecture Notes in Comput. Sci., Vol. 85, Springer, Berlin, 1980, pp. 299-309.
    • (1980) Lecture Notes in Comput. Sci. , vol.85 , pp. 299-309
    • Hennessy, M.1    Milner, R.2
  • 117
    • 0021974161 scopus 로고
    • Algebraic laws for nondeterminism and concurrency
    • M. Hennessy, R. Milner, Algebraic laws for nondeterminism and concurrency, J. ACM 32 (1985) 137-161.
    • (1985) J. ACM , vol.32 , pp. 137-161
    • Hennessy, M.1    Milner, R.2
  • 120
    • 84995186352 scopus 로고
    • Modality and quantification
    • K.J.J. Hintikka, Modality and quantification, Theoria 27 (1961) 119-128.
    • (1961) Theoria , vol.27 , pp. 119-128
    • Hintikka, K.J.J.1
  • 121
    • 33645252105 scopus 로고
    • Review of "The morning star paradox" by Stig Kanger
    • K.J.J. Hintikka, Review of "The morning star paradox" by Stig Kanger, J. Symbolic Logic 34 (1969) 305-306.
    • (1969) J. Symbolic Logic , vol.34 , pp. 305-306
    • Hintikka, K.J.J.1
  • 122
    • 84945708698 scopus 로고
    • An axiomatic basis for computer programming
    • C.A.R. Hoare, An axiomatic basis for computer programming, Comm. ACM 12 (1969) 576-580, 583.
    • (1969) Comm. ACM , vol.12 , pp. 576-580
    • Hoare, C.A.R.1
  • 124
    • 33645252553 scopus 로고
    • Postulates for assertion conjunction negation and equality
    • E.V. Huntington, Postulates for assertion conjunction negation and equality, Proc. Amer. Acad. Arts Sci. 72 (1937) 1-44.
    • (1937) Proc. Amer. Acad. Arts Sci. , vol.72 , pp. 1-44
    • Huntington, E.V.1
  • 125
    • 77956688250 scopus 로고    scopus 로고
    • The logic of provability
    • S.R. Buss (Ed.), Studies in Logic, Elsevier, Amsterdam
    • G. Japaridze, D. de Jongh, The logic of provability, in: S.R. Buss (Ed.), Handbook of Proof Theory, in: Studies in Logic, Vol. 137, Elsevier, Amsterdam, 1998, pp. 475-546.
    • (1998) Handbook of Proof Theory , vol.137 , pp. 475-546
    • Japaridze, G.1    De Jongh, D.2
  • 126
    • 0001458329 scopus 로고
    • Algebras whose congruence lattices are distributive
    • B. Jónsson, Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967) 110-121.
    • (1967) Math. Scand. , vol.21 , pp. 110-121
    • Jónsson, B.1
  • 127
    • 0007038909 scopus 로고
    • A survey of Boolean algebras with operators
    • Algebras and Orders, Kluwer Academic, Dordrecht
    • B. Jónsson, A survey of Boolean algebras with operators, in: Algebras and Orders, in: NATO ASI Series, Vol. 389, Kluwer Academic, Dordrecht, 1993, pp. 239-286.
    • (1993) NATO ASI Series , vol.389 , pp. 239-286
    • Jónsson, B.1
  • 128
    • 0001169610 scopus 로고
    • On the canonicity of Sahlqvist identities
    • B. Jónsson, On the canonicity of Sahlqvist identities, Studia Logica 53 (1994) 473-491.
    • (1994) Studia Logica , vol.53 , pp. 473-491
    • Jónsson, B.1
  • 129
    • 23544472181 scopus 로고
    • A. Tarski, Boolean algebras with operators
    • B. Jónsson, A. Tarski, Boolean algebras with operators, Bull. Amer. Math. Soc. 54 (1948) 79-80.
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 79-80
    • Jónsson, B.1
  • 130
    • 0001521953 scopus 로고
    • A. Tarski, Boolean algebras with operators, part i
    • B. Jónsson, A. Tarski, Boolean algebras with operators, part I, Amer. J. Math. 73 (1951) 891-939.
    • (1951) Amer. J. Math. , vol.73 , pp. 891-939
    • Jónsson, B.1
  • 131
    • 0001318162 scopus 로고
    • A. Tarski, Boolean algebras with operators, part II
    • B. Jónsson, A. Tarski, Boolean algebras with operators, part II, Amer. J. Math. 74 (1952) 127-162.
    • (1952) Amer. J. Math. , vol.74 , pp. 127-162
    • Jónsson, B.1
  • 133
    • 84995180998 scopus 로고
    • The morning star paradox
    • S.Kanger, The morning star paradox, Theoria 23 (1957) 1-11.
    • (1957) Theoria , vol.23 , pp. 1-11
    • Kanger, S.1
  • 134
    • 0039267670 scopus 로고
    • Almqvist & Wiksell, University of Stockholm
    • S. Kanger, Provability in Logic, Almqvist & Wiksell, University of Stockholm, 1957.
    • (1957) Provability in Logic
    • Kanger, S.1
  • 135
    • 4243333465 scopus 로고
    • Review of "Semantical analysis of modal logic I. Normal modal prepositional calculi" by Saul A. Kripke
    • D. Kaplan, Review of "Semantical analysis of modal logic I. Normal modal prepositional calculi" by Saul A. Kripke, J. Symbolic Logic 31 (1966) 120-122.
    • (1966) J. Symbolic Logic , vol.31 , pp. 120-122
    • Kaplan, D.1
  • 137
    • 0002322926 scopus 로고
    • On the principle of excluded middle ()
    • English translation by Jean van Heijenoort in: van Heijenhoort 1967, 414-437
    • A.N. Kolmogorov, On the principle of excluded middle (in Russian), Mat. Sb. 32 (1925) 646-667. English translation by Jean van Heijenoort in: van Heijenhoort 1967, 414-437.
    • (1925) Mat. Sb. , vol.32 , pp. 646-667
    • Kolmogorov, A.N.1
  • 138
    • 85037034070 scopus 로고
    • Results on the prepositional μ-calculus
    • M.E. Nielsen, M. Schmidt (Eds.), Automata Languages and Programming. Ninth Colloquium 1982, Springer, Berlin
    • D. Kozen, Results on the prepositional μ-calculus, in: M.E. Nielsen, M. Schmidt (Eds.), Automata Languages and Programming. Ninth Colloquium 1982, in: Lecture Notes in Comput. Sei., Vol. 140, Springer, Berlin, 1982, pp. 348-359.
    • (1982) Lecture Notes in Comput. Sei. , vol.140 , pp. 348-359
    • Kozen, D.1
  • 139
    • 49049126479 scopus 로고
    • Results on the prepositional μ-calculus
    • D. Kozen, Results on the prepositional μ-calculus, Theoret. Comput. Sci. 27 (1983) 333-354.
    • (1983) Theoret. Comput. Sci. , vol.27 , pp. 333-354
    • Kozen, D.1
  • 140
    • 0040859656 scopus 로고
    • A finite model theorem for the propositional μ-calculus
    • D. Kozen, A finite model theorem for the propositional μ-calculus, Studia Logica 47 (1988) 233-241.
    • (1988) Studia Logica , vol.47 , pp. 233-241
    • Kozen, D.1
  • 141
    • 85034599450 scopus 로고
    • A decision procedure for the propositional μ-calculus
    • E. Clarke, D. Kozen (Eds.), Logics of Programs. Proceedings 1983, Springer, Berlin
    • D. Kozen, R. Parikh, A decision procedure for the propositional μ-calculus, in: E. Clarke, D. Kozen (Eds.), Logics of Programs. Proceedings 1983, in: Lecture Notes in Comput. Sci., Vol. 164, Springer, Berlin, 1984, pp. 313-325.
    • (1984) Lecture Notes in Comput. Sci. , vol.164 , pp. 313-325
    • Kozen, D.1    Parikh, R.2
  • 143
    • 0003369048 scopus 로고    scopus 로고
    • Tools and techniques in modal logic
    • Elsevier, Amsterdam
    • M. Kracht, Tools and Techniques in Modal Logic, in: Stud. Logic, Vol. 142, Elsevier, Amsterdam, 1999.
    • (1999) Stud. Logic , vol.142
    • Kracht, M.1
  • 144
    • 0002977725 scopus 로고
    • A completeness theorem in modal logic
    • S.A. Kripke, A completeness theorem in modal logic, J. Symbolic Logic 24 (1959) 1-14.
    • (1959) J. Symbolic Logic , vol.24 , pp. 1-14
    • Kripke, S.A.1
  • 145
    • 0345373244 scopus 로고
    • Semantic analysis of modal logic ()
    • S.A. Kripke, Semantic analysis of modal logic (abstract), J. Symbolic Logic 24 (1959) 323-324.
    • (1959) J. Symbolic Logic , vol.24 , pp. 323-324
    • Kripke, S.A.1
  • 146
    • 0039681337 scopus 로고
    • The undecidability of monadic modal quantification theory
    • S.A. Kripke, The undecidability of monadic modal quantification theory, Z. Math. Logik Grundlag. Math. 8 (1962) 113-116.
    • (1962) Z. Math. Logik Grundlag. Math. , vol.8 , pp. 113-116
    • Kripke, S.A.1
  • 147
    • 37949002557 scopus 로고
    • Semantical analysis of modal logic I. Normal modal prepositional calculi
    • S.A. Kripke, Semantical analysis of modal logic I. Normal modal prepositional calculi, Z. Math. Logik Grundlag. Math. 9 (1963) 67-96.
    • (1963) Z. Math. Logik Grundlag. Math. , vol.9 , pp. 67-96
    • Kripke, S.A.1
  • 148
    • 0001972488 scopus 로고
    • Semantical considerations on modal logic
    • S.A. Kripke, Semantical considerations on modal logic, Acta Philos. Fennica 16 (1963) 83-94.
    • (1963) Acta Philos. Fennica , vol.16 , pp. 83-94
    • Kripke, S.A.1
  • 149
    • 77956955779 scopus 로고
    • Semantical analysis of intuitionistic logic i
    • J.N. Crossley, M.A.E. Dummett (Eds.), North-Holland, Amsterdam
    • S.A. Kripke, Semantical analysis of intuitionistic logic I, in: J.N. Crossley, M.A.E. Dummett (Eds.), Formal Systems and Recursive Functions, North-Holland, Amsterdam, 1965, pp. 92-130.
    • (1965) Formal Systems and Recursive Functions , pp. 92-130
    • Kripke, S.A.1
  • 150
    • 0038702363 scopus 로고
    • Semantical analysis of modal logic II. Non-normal modal prepositional calculi
    • J.W. Addison, L. Henkin, A. Tarski (Eds.), North-Holland, Amsterdam
    • S.A. Kripke, Semantical analysis of modal logic II. Non-normal modal prepositional calculi, in: J.W. Addison, L. Henkin, A. Tarski (Eds.), The Theory of Models, North-Holland, Amsterdam, 1965, pp. 206-220.
    • (1965) The Theory of Models , pp. 206-220
    • Kripke, S.A.1
  • 151
    • 33645247018 scopus 로고
    • Review of Lemmon 1966a,b
    • S.A. Kripke, Review of Lemmon 1966a,b, Math. Rev. 34 (1967) 1021-1022.
    • (1967) Math. Rev. , vol.34 , pp. 1021-1022
    • Kripke, S.A.1
  • 152
    • 0000595575 scopus 로고
    • The computational complexity of provability in systems of modal prepositional logic
    • R.E. Ladner, The computational complexity of provability in systems of modal prepositional logic, SIAM J.Comput. 6 (1977) 467-480.
    • (1977) SIAM J.Comput. , vol.6 , pp. 467-480
    • Ladner, R.E.1
  • 153
    • 0025430468 scopus 로고
    • Proof systems for satisfiability in Hennessy-Milner logic with recursion
    • K.G. Larsen, Proof systems for satisfiability in Hennessy-Milner logic with recursion, Theoret. Comput. Sci. 72 (1990) 265-288.
    • (1990) Theoret. Comput. Sci. , vol.72 , pp. 265-288
    • Larsen, K.G.1
  • 155
    • 0040452334 scopus 로고
    • New foundations for Lewis modal systems
    • E.J. Lemmon, New foundations for Lewis modal systems, J. Symbolic Logic 22 (1957) 176-186.
    • (1957) J. Symbolic Logic , vol.22 , pp. 176-186
    • Lemmon, E.J.1
  • 156
    • 0012715127 scopus 로고
    • Algebraic semantics for modal logics I
    • E.J. Lemmon, Algebraic semantics for modal logics I, J. Symbolic Logic 31 (1966) 46-65.
    • (1966) J. Symbolic Logic , vol.31 , pp. 46-65
    • Lemmon, E.J.1
  • 157
    • 0004565311 scopus 로고
    • Algebraic semantics for modal logics II
    • E.J. Lemmon, Algebraic semantics for modal logics II, J. Symbolic Logic 31 (1966) 191-218.
    • (1966) J. Symbolic Logic , vol.31 , pp. 191-218
    • Lemmon, E.J.1
  • 158
    • 0011319242 scopus 로고
    • An Introduction to Modal Logic
    • Basil Blackwell, Oxford, Written in collaboration with Dana Scott. Edited by Krister Segerberg
    • E.J. Lemmon, An Introduction to Modal Logic, in: Amer. Philos. Quarterly Monograph Ser., Vol. 11, Basil Blackwell, Oxford, 1977. Written in collaboration with Dana Scott. Edited by Krister Segerberg.
    • (1977) Amer. Philos. Quarterly Monograph Ser. , vol.11
    • Lemmon, E.J.1
  • 159
    • 23844519043 scopus 로고
    • Implication and the algebra of logic
    • C.I. Lewis, Implication and the algebra of logic, Mind (N.S.) 21 (1912) 522-531.
    • (1912) Mind (N.S.) , vol.21 , pp. 522-531
    • Lewis, C.I.1
  • 160
    • 0004285126 scopus 로고
    • University of California Press, Berkeley, 1918. Second Edition, Dover
    • C.I. Lewis, A Survey of Symbolic Logic, University of California Press, Berkeley, 1918. Second Edition, Dover, 1960.
    • (1960) A Survey of Symbolic Logic
    • Lewis, C.I.1
  • 162
    • 0007458333 scopus 로고
    • Solution of a problem of Leon Henkin
    • M.H. Lob, Solution of a problem of Leon Henkin, J. Symbolic Logic 20 (1955) 115-118.
    • (1955) J. Symbolic Logic , vol.20 , pp. 115-118
    • Lob, M.H.1
  • 168
    • 51249186800 scopus 로고
    • Modal operators on heyting algebras
    • D.S. Macnab, Modal operators on Heyting algebras, Algebra Universalis 12 (1981) 5-29.
    • (1981) Algebra Universalis , vol.12 , pp. 5-29
    • Macnab, D.S.1
  • 169
    • 0000646416 scopus 로고
    • On some completeness theorems in modal logic
    • D.C. Makinson, On some completeness theorems in modal logic, Z. Math. Logik Grundlag. Math. 12 (1966) 379-384.
    • (1966) Z. Math. Logik Grundlag. Math. , vol.12 , pp. 379-384
    • Makinson, D.C.1
  • 170
    • 33645251970 scopus 로고
    • A normal modal calculus between T and S4 without the finite model property
    • D.C. Makinson, A normal modal calculus between T and S4 without the finite model property, J. Symbolic Logic 34 (1969) 35-38.
    • (1969) J. Symbolic Logic , vol.34 , pp. 35-38
    • Makinson, D.C.1
  • 171
    • 84979122400 scopus 로고
    • A generalisation of the concept of relational model for modal logic
    • D.C. Makinson, A generalisation of the concept of relational model for modal logic, Theoria 36 (1970) 331-335.
    • (1970) Theoria , vol.36 , pp. 331-335
    • Makinson, D.C.1
  • 172
    • 84972494046 scopus 로고
    • Some embedding theorems for modal logic
    • D.C. Makinson, Some embedding theorems for modal logic, Notre Dame J. Formal Logic 12 (1971) 252-254.
    • (1971) Notre Dame J. Formal Logic , vol.12 , pp. 252-254
    • Makinson, D.C.1
  • 173
    • 33645273800 scopus 로고
    • Modal logics and varieties of modal algebras: The Beth properties interpolation and amalgamation
    • L.L. Maksimova, Modal logics and varieties of modal algebras: The Beth properties interpolation and amalgamation, Algebra and Logic 31 (1992) 90-105.
    • (1992) Algebra and Logic , vol.31 , pp. 90-105
    • Maksimova, L.L.1
  • 176
    • 0001843738 scopus 로고
    • Equational bases and nonmodular lattice varieties
    • R. McKenzie, Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc. 174 (1972) 1-43.
    • (1972) Trans. Amer. Math. Soc. , vol.174 , pp. 1-43
    • McKenzie, R.1
  • 177
    • 0000432049 scopus 로고
    • A solution of the decision problem for the Lewis systems S2 and S4 with an application to topology
    • J.C.C. McKinsey, A solution of the decision problem for the Lewis systems S2 and S4 with an application to topology, J. Symbolic Logic 6 (1941) 117-134.
    • (1941) J. Symbolic Logic , vol.6 , pp. 117-134
    • McKinsey, J.C.C.1
  • 178
    • 2342595341 scopus 로고
    • On the syntactical construction of systems of modal logic
    • J.C.C. McKinsey, On the syntactical construction of systems of modal logic, J. Symbolic Logic 10 (1945) 83-94.
    • (1945) J. Symbolic Logic , vol.10 , pp. 83-94
    • McKinsey, J.C.C.1
  • 179
    • 0000863367 scopus 로고
    • The algebra of topology
    • J.C.C. McKinsey, A. Tarski, The algebra of topology, Ann. Math. 45 (1944) 141-191.
    • (1944) Ann. Math. , vol.45 , pp. 141-191
    • McKinsey, J.C.C.1    Tarski, A.2
  • 180
    • 0001728117 scopus 로고
    • On closed elements in closure algebras
    • J.C.C. McKinsey, A. Tarski, On closed elements in closure algebras, Ann. Math. 47 (1946) 122-162.
    • (1946) Ann. Math. , vol.47 , pp. 122-162
    • McKinsey, J.C.C.1    Tarski, A.2
  • 181
    • 0002479447 scopus 로고
    • Some theorems about the sentential calculi of Lewis and Heyting
    • J.C.C. McKinsey, A. Tarski, Some theorems about the sentential calculi of Lewis and Heyting, J. Symbolic Logic 13 (1948) 1-15.
    • (1948) J. Symbolic Logic , vol.13 , pp. 1-15
    • McKinsey, J.C.C.1    Tarski, A.2
  • 182
    • 33645256837 scopus 로고
    • Mimeograph Department of Philosophy University of Canterbury, Christchurch, New Zealand, Recorded and expanded by A.N. Prior
    • C.A. Meredith, Interpretations of different modal logics in the 'property calculus', Mimeograph Department of Philosophy University of Canterbury, Christchurch, New Zealand, 1956, Recorded and expanded by A.N. Prior.
    • (1956) Interpretations of Different Modal Logics in the 'Property Calculus
    • Meredith, C.A.1
  • 183
    • 0000553440 scopus 로고
    • Weak monadic second order theory of successor is not elementary-recursive
    • R. Parikh (Ed.), Logic Colloquium. Symposium on Logic Held at Boston 1972-73, Springer, Berlin
    • A.R. Meyer, Weak monadic second order theory of successor is not elementary-recursive, in: R. Parikh (Ed.), Logic Colloquium. Symposium on Logic Held at Boston 1972-73, in: Lecture Notes in Math., Vol. 453, Springer, Berlin, 1975, pp. 132-154.
    • (1975) Lecture Notes in Math. , vol.453 , pp. 132-154
    • Meyer, A.R.1
  • 185
    • 0003276135 scopus 로고
    • A calculus of communicating systems
    • Springer, Berlin
    • R. Milner, A Calculus of Communicating Systems, in: Lecture Notes in Comput. Sci., Vol. 92, Springer, Berlin, 1980.
    • (1980) Lecture Notes in Comput. Sci. , vol.92
    • Milner, R.1
  • 186
    • 0001530725 scopus 로고
    • Calculi for synchrony and asynchrony
    • R. Milner, Calculi for synchrony and asynchrony, Theoret. Comput. Sci. 25 (1983) 267-310.
    • (1983) Theoret. Comput. Sci. , vol.25 , pp. 267-310
    • Milner, R.1
  • 189
    • 0026188821 scopus 로고
    • Notions of computation and monads
    • E. Moggi, Notions of computation and monads, Inform. and Comput. 93 (1991) 55-92.
    • (1991) Inform. and Comput. , vol.93 , pp. 55-92
    • Moggi, E.1
  • 190
    • 0347857039 scopus 로고
    • Logical necessity physical necessity ethics and quantifiers
    • Reprinted in [190]
    • R. Montague, Logical necessity physical necessity ethics and quantifiers, Inquiry 3 (1960) 259-269. Reprinted in [190].
    • (1960) Inquiry , vol.3 , pp. 259-269
    • Montague, R.1
  • 192
    • 2342522172 scopus 로고
    • Pragmatics and intensional logic
    • Reprinted in [190]
    • R. Montague, Pragmatics and intensional logic, Synthèse 22 (1970) 68-94. Reprinted in [190].
    • (1970) Synthèse , vol.22 , pp. 68-94
    • Montague, R.1
  • 194
    • 0009249232 scopus 로고
    • Descriptively complete process logic
    • H. Nishimura, Descriptively complete process logic, Acta Inform. 14 (1980) 359-369.
    • (1980) Acta Inform. , vol.14 , pp. 359-369
    • Nishimura, H.1
  • 195
    • 23844467852 scopus 로고
    • Incompleteness of semantics for intermediate predicate logics I. Kripkes semantics
    • H. Ono, Incompleteness of semantics for intermediate predicate logics I. Kripkes semantics, Proc. Japan Acad. 49 (9) (1973) 711-713.
    • (1973) Proc. Japan Acad. , vol.49 , Issue.9 , pp. 711-713
    • Ono, H.1
  • 196
    • 84985380729 scopus 로고
    • The completeness of propositional dynamic logic
    • Mathematical Foundations of Computer Science 1978, Springer, Berlin
    • R. Parikh, The completeness of propositional dynamic logic, in: Mathematical Foundations of Computer Science 1978, in: Lecture Notes in Comput. Sci., Vol. 64, Springer, Berlin, 1978, pp. 403-115.
    • (1978) Lecture Notes in Comput. Sci. , vol.64 , pp. 403-1115
    • Parikh, R.1
  • 198
    • 0014651649 scopus 로고
    • Fixpoint induction and proofs of program properties
    • B. Meltzer, D. Michie (Eds.), Edinburgh University Press
    • D. Park, Fixpoint induction and proofs of program properties, in: B. Meltzer, D. Michie (Eds.), Machine Intelligence, Vol. 5, Edinburgh University Press, 1969, pp. 59-78.
    • (1969) Machine Intelligence , vol.5 , pp. 59-78
    • Park, D.1
  • 199
    • 84945924340 scopus 로고
    • Concurrency and automata on infinite sequences
    • P. Deussen (Ed.), Theoretical Computer Science, Springer, Berlin
    • D. Park, Concurrency and automata on infinite sequences, in: P. Deussen (Ed.), Theoretical Computer Science, in: Lecture Notes in Comput. Sci., Vol. 104, Springer, Berlin, 1981, pp. 167-183.
    • (1981) Lecture Notes in Comput. Sci. , vol.104 , pp. 167-183
    • Park, D.1
  • 200
    • 49149133038 scopus 로고
    • The temporal semantics of concurrent programs
    • A. Pnueli, The temporal semantics of concurrent programs, Theoret. Comput. Sci. 13 (1981) 45-60.
    • (1981) Theoret. Comput. Sci. , vol.13 , pp. 45-60
    • Pnueli, A.1
  • 201
    • 53149151030 scopus 로고
    • Modal Logic and Process Algebra: A Bisimulation Perspective
    • CSLI Publications, Stanford, CA
    • A. Ponse, M. de Rijke, Y. Venema (Eds.), Modal Logic and Process Algebra: A Bisimulation Perspective, CSLI Lecture Notes, Vol. 53, CSLI Publications, Stanford, CA, 1995.
    • (1995) CSLI Lecture Notes , vol.53
    • Ponse, A.1    De Rijke, M.2    Venema, Y.3
  • 204
    • 22444450832 scopus 로고
    • Application of modal logic to programming
    • V.R. Pratt, Application of modal logic to programming, Studia Logica 39 (1980) 257-274.
    • (1980) Studia Logica , vol.39 , pp. 257-274
    • Pratt, V.R.1
  • 205
    • 0001594044 scopus 로고
    • A near-optimal method for reasoning about action
    • V.R. Pratt, A near-optimal method for reasoning about action, J. Comput. System Sci. 20 (1980) 231-254.
    • (1980) J. Comput. System Sci. , vol.20 , pp. 231-254
    • Pratt, V.R.1
  • 207
    • 0342501301 scopus 로고
    • Modality and quantification in S5
    • A.N. Prior, Modality and quantification in S5, J. Symbolic Logic 21 (1) (1956) 60-62.
    • (1956) J. Symbolic Logic , vol.21 , Issue.1 , pp. 60-62
    • Prior, A.N.1
  • 209
    • 33645263446 scopus 로고
    • The syntax of time-distinctions
    • A.N. Prior, The syntax of time-distinctions, Franciscan Studies 18 (1958) 105-120.
    • (1958) Franciscan Studies , vol.18 , pp. 105-120
    • Prior, A.N.1
  • 210
    • 33645251678 scopus 로고
    • Possible worlds
    • A.N. Prior, Possible worlds, Philos. Quarterly 12 (1962) 36-43.
    • (1962) Philos. Quarterly , vol.12 , pp. 36-43
    • Prior, A.N.1
  • 211
    • 33645260263 scopus 로고
    • Tense-logic and the continuity of time
    • A.N. Prior, Tense-logic and the continuity of time, Studia Logica 13 (1962) 133-148.
    • (1962) Studia Logica , vol.13 , pp. 133-148
    • Prior, A.N.1
  • 214
    • 0040701918 scopus 로고
    • The problem of interpreting modal logic
    • W.V. Quine, The problem of interpreting modal logic, J. Symbolic Logic 12 (1947) 43-48.
    • (1947) J. Symbolic Logic , vol.12 , pp. 43-48
    • Quine, W.V.1
  • 215
    • 84968501436 scopus 로고
    • Decidability of second-order theories and automata on infinite trees
    • M.O. Rabin, Decidability of second-order theories and automata on infinite trees, Trans. Amer. Math. Soc. 141 (1969) 1-35.
    • (1969) Trans. Amer. Math. Soc. , vol.141 , pp. 1-35
    • Rabin, M.O.1
  • 216
    • 33645270328 scopus 로고    scopus 로고
    • Hugh MacColl and the algebra of strict implication
    • Electronically
    • S. Read, Hugh MacColl and the algebra of strict implication, Nordic J. Philos. Logic 3 (1) (1998) 59-83, Electronically available at: http://www.hf.uio.no/filosofi/njpl/vo13no1/index.html.
    • (1998) Nordic J. Philos. Logic , vol.3 , Issue.1 , pp. 59-83
    • Read, S.1
  • 217
    • 0035629551 scopus 로고    scopus 로고
    • An axiomatization of full computation tree logic
    • M. Reynolds, An axiomatization of full computation tree logic, J. Symbolic Logic 66 (3) (2001) 1011-1057.
    • (2001) J. Symbolic Logic , vol.66 , Issue.3 , pp. 1011-1057
    • Reynolds, M.1
  • 218
    • 77956968248 scopus 로고
    • Completeness and correspondence in the first and second order semantics for modal logic
    • S. Kanger (Ed.), North-Holland, Amsterdam
    • H. Sahlqvist, Completeness and correspondence in the first and second order semantics for modal logic, in: S. Kanger (Ed.), Proceedings of the Third Scandinavian Logic Symposium, North-Holland, Amsterdam, 1975, pp. 110-143.
    • (1975) Proceedings of the Third Scandinavian Logic Symposium , pp. 110-143
    • Sahlqvist, H.1
  • 219
    • 0010894991 scopus 로고
    • A new proof of Sahlqvists theorem on modal definability and completeness
    • O. Sambin, V. Vaccaro, A new proof of Sahlqvists theorem on modal definability and completeness, J. Symbolic Logic 54 (1989) 992-999.
    • (1989) J. Symbolic Logic , vol.54 , pp. 992-999
    • Sambin, O.1    Vaccaro, V.2
  • 220
    • 0014776888 scopus 로고
    • Relationships between nondeterministic and deterministic tape complexities
    • W.J. Savitch, Relationships between nondeterministic and deterministic tape complexities, J. Comput. Systems Sci. 4 (1970) 177-192.
    • (1970) J. Comput. Systems Sci. , vol.4 , pp. 177-192
    • Savitch, W.J.1
  • 221
    • 0041508101 scopus 로고
    • Advice on modal logic
    • K. Lambert (Ed.), Reidel
    • D. Scott, Advice on modal logic, in: K. Lambert (Ed.), Philosophical Problems in Logic, Reidel, 1970, pp. 143-173.
    • (1970) Philosophical Problems in Logic , pp. 143-173
    • Scott, D.1
  • 222
    • 0001075371 scopus 로고
    • Extensions of the Lewis system S5
    • S.J. Scroggs, Extensions of the Lewis system S5, J. Symbolic Logic 16 (1951) 112-120.
    • (1951) J. Symbolic Logic , vol.16 , pp. 112-120
    • Scroggs, S.J.1
  • 223
    • 0039715462 scopus 로고
    • Decidability of S4.1
    • K. Segerberg, Decidability of S4.1, Theoria 34 (1968) 7-20.
    • (1968) Theoria , vol.34 , pp. 7-20
    • Segerberg, K.1
  • 224
    • 0038780606 scopus 로고
    • Prepositional logics related to Heytings and Johanssons
    • K. Segerberg, Prepositional logics related to Heytings and Johanssons, Theoria 34 (1968) 26-61.
    • (1968) Theoria , vol.34 , pp. 26-61
    • Segerberg, K.1
  • 225
    • 84979122215 scopus 로고
    • Modal logics with linear alternative relations
    • K. Segerberg, Modal logics with linear alternative relations, Theoria 36 (1970) 301-322.
    • (1970) Theoria , vol.36 , pp. 301-322
    • Segerberg, K.1
  • 226
    • 0040197121 scopus 로고
    • An essay in classical modal logic
    • Uppsala Universitet
    • K. Segerberg, An Essay in Classical Modal Logic, in: Filosofiska Studier, Vol. 13, Uppsala Universitet, 1971.
    • (1971) Filosofiska Studier , vol.13
    • Segerberg, K.1
  • 227
    • 33645250548 scopus 로고
    • Franzén's proof of Bulls theorem
    • K. Segerberg, Franzén's proof of Bulls theorem, Ajatus 35 (1973) 216-221.
    • (1973) Ajatus , vol.35 , pp. 216-221
    • Segerberg, K.1
  • 228
    • 77956976740 scopus 로고
    • That every extension of S4.3 is normal
    • S. Kanger (Ed.), North-Holland, Amsterdam
    • K. Segerberg, That every extension of S4.3 is normal, in: S. Kanger (Ed.), Proceedings of the Third Scandinavian Logic Symposium, North-Holland, Amsterdam, 1975, pp. 194-196.
    • (1975) Proceedings of the Third Scandinavian Logic Symposium , pp. 194-196
    • Segerberg, K.1
  • 229
    • 0001241414 scopus 로고
    • A completeness theorem in the modal logic of programs
    • K. Segerberg, A completeness theorem in the modal logic of programs, Notices Amer. Math. Soc. 24 (1977) A-552.
    • (1977) Notices Amer. Math. Soc. , vol.24
    • Segerberg, K.1
  • 230
    • 0039650264 scopus 로고
    • A completeness theorem in the modal logic of programs
    • T. Traczyck (Ed.), Universal Algebra and Applications. Papers presented at the Seminar held at the Stefan Banach International Mathematical Center 1978, PWN, Warsaw
    • K. Segerberg, A completeness theorem in the modal logic of programs, in: T. Traczyck (Ed.), Universal Algebra and Applications. Papers presented at the Seminar held at the Stefan Banach International Mathematical Center 1978, in: Banach Center Publications, Vol. 9, PWN, Warsaw, 1982, pp. 31-46.
    • (1982) Banach Center Publications , vol.9 , pp. 31-46
    • Segerberg, K.1
  • 231
    • 0038879857 scopus 로고
    • On incomplete propositional logics
    • V.B. Šehtman, On incomplete propositional logics, Soviet Math. Dokl. 18 (1977) 985-989.
    • (1977) Soviet Math. Dokl. , vol.18 , pp. 985-989
    • Šehtman, V.B.1
  • 232
    • 0347522180 scopus 로고
    • Modal logics of domains on the real plane
    • V.B. Shehtman, Modal logics of domains on the real plane, Studia Logica 42 (1983) 63-80.
    • (1983) Studia Logica , vol.42 , pp. 63-80
    • Shehtman, V.B.1
  • 236
    • 15544389596 scopus 로고
    • The development of self-reference: Löbs theorem
    • T. Drucker (Ed.), Birkhäuser, Bazel
    • C. Smoryński, The development of self-reference: Löbs theorem, in: T. Drucker (Ed.), Perspectives on the History of Mathematical Logic, Birkhäuser, Bazel, 1991, pp. 110-133.
    • (1991) Perspectives on the History of Mathematical Logic , pp. 110-133
    • Smoryński, C.1
  • 237
    • 84972491007 scopus 로고
    • Remarks about axiomatizations of certain modal systems
    • C. Smoryński, Remarks about axiomatizations of certain modal systems, Notre Dame J. Formal Logic 5 (1964) 71-80.
    • (1964) Notre Dame J. Formal Logic , vol.5 , pp. 71-80
    • Smoryński, C.1
  • 238
    • 51249190137 scopus 로고
    • Provability interpretations of modal logic
    • R. Solovay, Provability interpretations of modal logic, Israel J. Math. 25 (1976) 287-304.
    • (1976) Israel J. Math. , vol.25 , pp. 287-304
    • Solovay, R.1
  • 240
    • 0022322350 scopus 로고
    • Modal logics for communicating systems
    • C. Stirling, Modal logics for communicating systems, Theoret. Comput. Sci. 49 (1987) 311-347.
    • (1987) Theoret. Comput. Sci. , vol.49 , pp. 311-347
    • Stirling, C.1
  • 241
    • 0000832186 scopus 로고
    • Modal and temporal logics
    • S. Abramsky, D.M. Gabbay, T.S.E. Maibaum (Eds.), Oxford University Press, Oxford
    • C. Stirling, Modal and temporal logics, in: S. Abramsky, D.M. Gabbay, T.S.E. Maibaum (Eds.), Handbook of Logic in Computer Science, Vol. 2, Oxford University Press, Oxford, 1992, pp. 477-563.
    • (1992) Handbook of Logic in Computer Science , vol.2 , pp. 477-563
    • Stirling, C.1
  • 242
    • 84968486072 scopus 로고
    • The theory of representations for Boolean algebras
    • M.H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936) 37-111.
    • (1936) Trans. Amer. Math. Soc. , vol.40 , pp. 37-111
    • Stone, M.H.1
  • 243
    • 0001886207 scopus 로고
    • Topological representations of distributive lattices and Brouwerian logics
    • M.H. Stone, Topological representations of distributive lattices and Brouwerian logics, Casopis pro Pestovani Matematiky a Fysiky 67 (1937-8) 1-25.
    • (1937) Casopis Pro Pestovani Matematiky A Fysiky , vol.67 , pp. 1-25
    • Stone, M.H.1
  • 244
    • 0000690591 scopus 로고
    • Propositional dynamic logic of looping and converse is elementarily decidable
    • R.S. Streett, Propositional dynamic logic of looping and converse is elementarily decidable, Inform, and Control 54 (1982) 121-141.
    • (1982) Inform, and Control , vol.54 , pp. 121-141
    • Streett, R.S.1
  • 245
    • 0012795334 scopus 로고
    • The propositional mu-calculus is elementary
    • J. Paradaens (Ed.), Automata Languages and Programming. Proceedings 1984, Springer, Berlin
    • R.S. Streett, E.A. Emerson, The propositional mu-calculus is elementary, in: J. Paradaens (Ed.), Automata Languages and Programming. Proceedings 1984, in: Lecture Notes in Comput. Sci., Vol. 172, Springer, Berlin, 1984, pp. 465-472.
    • (1984) Lecture Notes in Comput. Sci. , vol.172 , pp. 465-472
    • Streett, R.S.1    Emerson, E.A.2
  • 246
    • 0024681890 scopus 로고
    • An automata theoretic decision procedure for the propositional mu-calculus
    • R.S. Streett, E.A. Emerson, An automata theoretic decision procedure for the propositional mu-calculus, Inform. Comput. 81 (1989) 249-264.
    • (1989) Inform. Comput. , vol.81 , pp. 249-264
    • Streett, R.S.1    Emerson, E.A.2
  • 247
    • 0011002171 scopus 로고
    • Algebraic postulates and a geometric interpretation for the Lewis calculus of strict implication
    • T.-C. Tang, Algebraic postulates and a geometric interpretation for the Lewis calculus of strict implication, Bull. Amer. Math. Soc. 44 (1938) 737-744.
    • (1938) Bull. Amer. Math. Soc. , vol.44 , pp. 737-744
    • Tang, T.-C.1
  • 248
    • 0011045228 scopus 로고
    • Der aussagenkalkül und die topologie
    • A. Tarski, Der aussagenkalkül und die topologie, Fund. Math. 31 (1938) 103-134.
    • (1938) Fund. Math. , vol.31 , pp. 103-134
    • Tarski, A.1
  • 250
    • 0003036898 scopus 로고
    • On the calculus of relations
    • A. Tarski, On the calculus of relations, J. Symbolic Logic 6 (1941) 73-89.
    • (1941) J. Symbolic Logic , vol.6 , pp. 73-89
    • Tarski, A.1
  • 251
    • 0010990706 scopus 로고
    • A remark on functionally free algebras
    • A. Tarski, A remark on functionally free algebras, Ann. Math. 47 (1946) 163-165.
    • (1946) Ann. Math. , vol.47 , pp. 163-165
    • Tarski, A.1
  • 253
    • 84972541021 scopus 로고
    • A lattice-theoretical fixpoint theorem and its applications
    • A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955) 285-309.
    • (1955) Pacific J. Math. , vol.5 , pp. 285-309
    • Tarski, A.1
  • 255
    • 85034809087 scopus 로고
    • Computation tree logic and regular ω-languages
    • J.W. de Bakker W.P.D.R., G. Rozenberg (Eds.), Linear Time Branching Time and Partial Order in Logics and Models for Concurrency, Springer, Berlin
    • W. Thomas, Computation tree logic and regular ω-languages, in: J.W. de Bakker W.P.D.R., G. Rozenberg (Eds.), Linear Time Branching Time and Partial Order in Logics and Models for Concurrency, in: Lecture Notes in Comput. Sci., Vol. 354, Springer, Berlin, 1989, pp. 690-713.
    • (1989) Lecture Notes in Comput. Sci. , vol.354 , pp. 690-713
    • Thomas, W.1
  • 256
    • 33645262105 scopus 로고
    • Noncompactness in propositional modal logic
    • S.K. Thomason, Noncompactness in propositional modal logic, J. Symbolic Logic 37 (1972) 716-720.
    • (1972) J. Symbolic Logic , vol.37 , pp. 716-720
    • Thomason, S.K.1
  • 257
    • 0009888045 scopus 로고
    • Semantic analysis of tense logic
    • S.K. Thomason, Semantic analysis of tense logic, J. Symbolic Logic 37 (1972) 150-158.
    • (1972) J. Symbolic Logic , vol.37 , pp. 150-158
    • Thomason, S.K.1
  • 258
    • 84979118908 scopus 로고
    • An incompleteness theorem in modal logic
    • S.K. Thomason, An incompleteness theorem in modal logic, Theoria 40 (1974) 30-34.
    • (1974) Theoria , vol.40 , pp. 30-34
    • Thomason, S.K.1
  • 259
    • 0040719506 scopus 로고
    • Reduction of tense logic to modal logic i
    • S.K. Thomason, Reduction of tense logic to modal logic I, J. Symbolic Logic 39 (1974) 549-551.
    • (1974) J. Symbolic Logic , vol.39 , pp. 549-551
    • Thomason, S.K.1
  • 260
    • 7244254428 scopus 로고
    • Categories of frames for modal logic
    • S.K. Thomason, Categories of frames for modal logic, J. Symbolic Logic 40 (1975) 439-442.
    • (1975) J. Symbolic Logic , vol.40 , pp. 439-442
    • Thomason, S.K.1
  • 261
    • 84982561055 scopus 로고
    • The logical consequence relation of propositional tense logic
    • S.K. Thomason, The logical consequence relation of propositional tense logic, Z. Math. Logik Grundlag. Math. 21 (1975) 29-40.
    • (1975) Z. Math. Logik Grundlag. Math. , vol.21 , pp. 29-40
    • Thomason, S.K.1
  • 262
    • 84982624092 scopus 로고
    • Reduction of second-order logic to modal logic
    • S.K. Thomason, Reduction of second-order logic to modal logic, Z. Math. Logik Grundlag. Math. 21 (1975) 107-114.
    • (1975) Z. Math. Logik Grundlag. Math. , vol.21 , pp. 107-114
    • Thomason, S.K.1
  • 263
    • 84979109806 scopus 로고
    • Reduction of tense logic to modal logic II
    • S.K. Thomason, Reduction of tense logic to modal logic II, Theoria 41 (1975) 154-169.
    • (1975) Theoria , vol.41 , pp. 154-169
    • Thomason, S.K.1
  • 264
    • 0010946499 scopus 로고
    • Sheaf theory and the continuum hypothesis
    • F.W. Lawvere (Ed.), Toposes Algebraic Geometry and Logic, Springer, Berlin
    • M. Tierney, Sheaf theory and the continuum hypothesis, in: F.W. Lawvere (Ed.), Toposes Algebraic Geometry and Logic, in: Lecture Notes in Math., Vol. 274, Springer, Berlin, 1972, pp. 13-42.
    • (1972) Lecture Notes in Math. , vol.274 , pp. 13-42
    • Tierney, M.1
  • 265
    • 33645266550 scopus 로고
    • Decidability and the finite model property
    • A. Urquhart, Decidability and the finite model property, J. Philosophical Logic 10 (3) (1981) 367-370.
    • (1981) J. Philosophical Logic , vol.10 , Issue.3 , pp. 367-370
    • Urquhart, A.1
  • 266
    • 33645251397 scopus 로고
    • A note on modal formulas and relational properties
    • J.F.A.K. van Benthem, A note on modal formulas and relational properties, J. Symbolic Logic 40 (1) (1975) 55-58.
    • (1975) J. Symbolic Logic , vol.40 , Issue.1 , pp. 55-58
    • Van Benthem, J.F.A.K.1
  • 268
    • 33645246696 scopus 로고
    • Modal formulas are either elementary or not ΣΔA-elementary
    • J.F.A.K. van Benthem, Modal formulas are either elementary or not ΣΔA-elementary, J. Symbolic Logic 41 (1976) 436-438.
    • (1976) J. Symbolic Logic , vol.41 , pp. 436-438
    • Van Benthem, J.F.A.K.1
  • 269
    • 84972527836 scopus 로고
    • Two simple incomplete modal logics
    • J.F.A.K. van Benthem, Two simple incomplete modal logics, Theoria 44 (1978) 25-37.
    • (1978) Theoria , vol.44 , pp. 25-37
    • Van Benthem, J.F.A.K.1
  • 270
    • 9444297402 scopus 로고
    • Syntactic aspects of modal incompleteness theorems
    • J.F.A.K. van Benthem, Syntactic aspects of modal incompleteness theorems, Theoria 45 (1979) 67-81.
    • (1979) Theoria , vol.45 , pp. 67-81
    • Van Benthem, J.F.A.K.1
  • 271
    • 0007148728 scopus 로고
    • Some kinds of modal completeness
    • J.F.A.K. van Benthem, Some kinds of modal completeness, Studia Logica 39 (1980) 125-141.
    • (1980) Studia Logica , vol.39 , pp. 125-141
    • Van Benthem, J.F.A.K.1
  • 273
    • 0002781743 scopus 로고
    • Correspondence theory
    • D. Gabbay, F. Guenthner (Eds.), Extensions of Classical Logic, Reidel, Dordrecht
    • J.F.A.K. van Benthem, Correspondence theory, in: D. Gabbay, F. Guenthner (Eds.), Handbook of Philosophical Logic Volume II: Extensions of Classical Logic, Reidel, Dordrecht, 1984, pp. 167-247.
    • (1984) Handbook of Philosophical Logic , vol.2 , pp. 167-247
    • Van Benthem, J.F.A.K.1
  • 276
    • 0029191989 scopus 로고
    • Completeness of Kozens axiomatisation of the propositional μ-calculus
    • D. Kozen (Ed.), IEEE Computer Society Press
    • I. Walukiewicz, Completeness of Kozens axiomatisation of the propositional μ-calculus, in: D. Kozen (Ed.), Proceedings of the Tenth Annual IEEE Symposium on Logic in Computer Science, IEEE Computer Society Press, 1995, pp. 14-24.
    • (1995) Proceedings of the Tenth Annual IEEE Symposium on Logic in Computer Science , pp. 14-24
    • Walukiewicz, I.1
  • 277
    • 0034711982 scopus 로고    scopus 로고
    • Completeness of Kozens axiomatisation of the propositional μ-calculus
    • I. Walukiewicz, Completeness of Kozens axiomatisation of the propositional μ-calculus, Inform, and Comput. 157 (2000) 142-182.
    • (2000) Inform, and Comput. , vol.157 , pp. 142-182
    • Walukiewicz, I.1
  • 278
    • 0011421534 scopus 로고
    • On powerdomains and modality
    • G. Winskel, On powerdomains and modality, Theoret. Comput. Sci. 36 (1985) 127-137.
    • (1985) Theoret. Comput. Sci. , vol.36 , pp. 127-137
    • Winskel, G.1
  • 279
    • 0020496645 scopus 로고
    • Temporal logic can be more expressive
    • P. Wolper, Temporal logic can be more expressive, Inform, and Control 56 (1983) 72-99.
    • (1983) Inform, and Control , vol.56 , pp. 72-99
    • Wolper, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.