메뉴 건너뛰기




Volumn 137, Issue C, 1998, Pages 475-546

Chapter VII The logic of provability

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77956688250     PISSN: 0049237X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0049-237X(98)80022-0     Document Type: Chapter
Times cited : (59)

References (120)
  • 1
    • 0040239566 scopus 로고
    • Arithmetically complete modal theories
    • In Russian, English translation in: Amer. Math. Soc. Transl. (2), 135: 39-54, 1987
    • In Russian, English translation in: Amer. Math. Soc. Transl. (2), 135: 39-54, 1987. Artëmov S.N. Arithmetically complete modal theories. Semiotika i Informatika, VINITI, Moscow 14 (1980) 115-133
    • (1980) Semiotika i Informatika, VINITI, Moscow , vol.14 , pp. 115-133
    • Artëmov, S.N.1
  • 2
    • 37949020384 scopus 로고
    • Nonarithmeticity of truth predicate logics of provability
    • In Russian, English translation in Soviet Math. Dokl. 32 (1985)
    • In Russian, English translation in Soviet Math. Dokl. 32 (1985),. Artëmov S.N. Nonarithmeticity of truth predicate logics of provability. Doklady Akademii Nauk SSSR 284 (1985) 403-405
    • (1985) Doklady Akademii Nauk SSSR , vol.284 , pp. 403-405
    • Artëmov, S.N.1
  • 3
    • 40949110509 scopus 로고
    • On modal logics axiomatizing provability
    • In Russian, English translation in: Math. USSR Izvestiya 27(3)
    • In Russian, English translation in: Math. USSR Izvestiya 27(3). Artëmov S.N. On modal logics axiomatizing provability. Izvestiya Akad. Nauk SSSR, ser. mat. 49 (1985) 1123-1154
    • (1985) Izvestiya Akad. Nauk SSSR, ser. mat. , vol.49 , pp. 1123-1154
    • Artëmov, S.N.1
  • 4
    • 77956677855 scopus 로고
    • Numerically correct logics of provability
    • In Russian
    • In Russian. Artëmov S.N. Numerically correct logics of provability. Doklady Akademii Nauk SSSR 290 (1986) 1289-1292
    • (1986) Doklady Akademii Nauk SSSR , vol.290 , pp. 1289-1292
    • Artëmov, S.N.1
  • 6
    • 0004250484 scopus 로고
    • Operational Modal Logic
    • Cornell University
    • Artëmov S.N. Operational Modal Logic. Tech. Rep. MSI 95-29 (1995), Cornell University
    • (1995) Tech. Rep. MSI 95-29
    • Artëmov, S.N.1
  • 7
    • 40849144715 scopus 로고
    • On effective predicate logics of provability
    • In Russian, English translation in Soviet Math. Dokl. 36 (1987), pp. 478-480
    • In Russian, English translation in Soviet Math. Dokl. 36 (1987), pp. 478-480. Artëmov S.N., and Japaridze (Dzhaparidze) G.K. On effective predicate logics of provability. Doklady Akademii Nauk SSSR 297 (1987) 521-523
    • (1987) Doklady Akademii Nauk SSSR , vol.297 , pp. 521-523
    • Artëmov, S.N.1    Japaridze (Dzhaparidze), G.K.2
  • 9
    • 0010983898 scopus 로고
    • On modal systems having arithmetical interpretations
    • Avron A. On modal systems having arithmetical interpretations. Journal of Symbolic Logic 49 (1984) 935-942
    • (1984) Journal of Symbolic Logic , vol.49 , pp. 935-942
    • Avron, A.1
  • 10
    • 84956126417 scopus 로고
    • On the classification of propositional provability logics
    • In Russian, English translation in Math. USSR Izvestiya, 35 (1990) 247-275
    • In Russian, English translation in Math. USSR Izvestiya, 35 (1990) 247-275. Beklemishev L.D. On the classification of propositional provability logics. Izvestiya Akademii Nauk SSSR, ser. mat. D 53 (1989) 915-943
    • (1989) Izvestiya Akademii Nauk SSSR, ser. mat. D , vol.53 , pp. 915-943
    • Beklemishev, L.D.1
  • 11
    • 33645342272 scopus 로고
    • A provability logic without Craig'sportect interpolation property
    • In Russian, English translation in Math. Notes 45 (1989)
    • In Russian, English translation in Math. Notes 45 (1989). Beklemishev L.D. A provability logic without Craig'sportect interpolation property. Matematicheskie Zametkie 45 (1989) 12-22
    • (1989) Matematicheskie Zametkie , vol.45 , pp. 12-22
    • Beklemishev, L.D.1
  • 12
    • 0039647727 scopus 로고
    • Provability logics for natural Turing progressions of arithmetical theories
    • Beklemishev L.D. Provability logics for natural Turing progressions of arithmetical theories. Studia Logica (1991) 107-128
    • (1991) Studia Logica , pp. 107-128
    • Beklemishev, L.D.1
  • 13
    • 0039647726 scopus 로고
    • Independent numerations of theories and recursive progressions
    • In Russian, English translation in Siberian Math. Journal., 33 (1992)
    • In Russian, English translation in Siberian Math. Journal., 33 (1992). Beklemishev L.D. Independent numerations of theories and recursive progressions. Sibirskii Matematichskii Zhurnal 33 (1992) 22-46
    • (1992) Sibirskii Matematichskii Zhurnal , vol.33 , pp. 22-46
    • Beklemishev, L.D.1
  • 14
    • 34249834995 scopus 로고
    • On the complexity of arithmetic applications of modal formulae
    • Beklemishev L.D. On the complexity of arithmetic applications of modal formulae. Archive for Mathematical Logic 32 (1993) 229-238
    • (1993) Archive for Mathematical Logic , vol.32 , pp. 229-238
    • Beklemishev, L.D.1
  • 15
    • 77956698904 scopus 로고
    • Review of de Jongh and Montagna [1988,1989], Carbone and Montagna [1989,1990]
    • Beklemishev L.D. Review of de Jongh and Montagna [1988,1989], Carbone and Montagna [1989,1990]. Journal of Symbolic Logic 58 (1993) 715-717
    • (1993) Journal of Symbolic Logic , vol.58 , pp. 715-717
    • Beklemishev, L.D.1
  • 17
    • 0030551725 scopus 로고    scopus 로고
    • Bimodal logics for extensions of arithmetical theories
    • Beklemishev L.D. Bimodal logics for extensions of arithmetical theories. Journal of Symbolic Logic 61 (1996) 91-124
    • (1996) Journal of Symbolic Logic , vol.61 , pp. 91-124
    • Beklemishev, L.D.1
  • 18
    • 0010762620 scopus 로고    scopus 로고
    • 0 +EXP
    • Ursini A., and Aglianò P. (Eds), Marcel Dekker, Inc., New York
    • 0 +EXP. In: Ursini A., and Aglianò P. (Eds). Logic and Algebra (1996), Marcel Dekker, Inc., New York 317-326
    • (1996) Logic and Algebra , pp. 317-326
    • Beklemishev, L.D.1
  • 19
    • 0010677715 scopus 로고
    • The interpretability logic of Peano arithmetic
    • Berarducci A. The interpretability logic of Peano arithmetic. Journal of Symbolic Logic 55 (1990) 1059-1089
    • (1990) Journal of Symbolic Logic , vol.55 , pp. 1059-1089
    • Berarducci, A.1
  • 21
    • 0041482144 scopus 로고
    • The uniqueness of the fixed-point in every diagnalizable algebra
    • Bernardi C. The uniqueness of the fixed-point in every diagnalizable algebra. Studia Logica 35 (1976) 335-343
    • (1976) Studia Logica , vol.35 , pp. 335-343
    • Bernardi, C.1
  • 23
    • 28844504413 scopus 로고
    • Provability, truth and modal logic
    • Boolos G. Provability, truth and modal logic. Journal of Philosophic Logic 9 (1981) 1-7
    • (1981) Journal of Philosophic Logic , vol.9 , pp. 1-7
    • Boolos, G.1
  • 24
    • 40049086317 scopus 로고
    • Extremely undecidable sentences
    • Boolos G. Extremely undecidable sentences. Journal of Symbolic Logic 47 (1982) 191-196
    • (1982) Journal of Symbolic Logic , vol.47 , pp. 191-196
    • Boolos, G.1
  • 25
    • 0039055504 scopus 로고
    • The analytical completeness of Dzhaparidze's polymodal logics
    • Boolos G. The analytical completeness of Dzhaparidze's polymodal logics. Annals of Pure and Applied Logic 61 (1993) 95-111
    • (1993) Annals of Pure and Applied Logic , vol.61 , pp. 95-111
    • Boolos, G.1
  • 28
    • 33845523201 scopus 로고
    • The degree of the set of sentences of predicate provability logic that are true under every interpretation
    • Boolos G., and McGee V. The degree of the set of sentences of predicate provability logic that are true under every interpretation. Journal of Symbolic Logic 52 (1987) 165-171
    • (1987) Journal of Symbolic Logic , vol.52 , pp. 165-171
    • Boolos, G.1    McGee, V.2
  • 29
    • 0009889470 scopus 로고
    • Provability: the emergence of a mathematical modality
    • Boolos G., and Sambin G. 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
  • 32
    • 51249177459 scopus 로고
    • Modal logics with several operators and provability interpretations
    • Carlson T. Modal logics with several operators and provability interpretations. Israel Journal of Mathematics 54 (1986) 14-24
    • (1986) Israel Journal of Mathematics , vol.54 , pp. 14-24
    • Carlson, T.1
  • 37
    • 4344628987 scopus 로고
    • Arithmetization of metamathematics in a general setting
    • Feferman S. Arithmetization of metamathematics in a general setting. Archive for Mathematical Logic 6 (1960) 52-63
    • (1960) Archive for Mathematical Logic , vol.6 , pp. 52-63
    • Feferman, S.1
  • 38
    • 0000675423 scopus 로고
    • Transfinite recursive progressions of axiomatic theories
    • Feferman S. Transfinite recursive progressions of axiomatic theories. Journal of Symbolic Logic 27 (1962) 259-316
    • (1962) Journal of Symbolic Logic , vol.27 , pp. 259-316
    • Feferman, S.1
  • 41
    • 0001794166 scopus 로고
    • Eine Interpretation des intuitionistischen Aussagenkalkuls
    • Gödel K. Eine Interpretation des intuitionistischen Aussagenkalkuls. Ergebnisse Math. Colloq. 4 (1933) 39-40
    • (1933) Ergebnisse Math. Colloq. , vol.4 , pp. 39-40
    • Gödel, K.1
  • 43
    • 53249091441 scopus 로고
    • Sentences implying their own provability
    • Guaspari D. Sentences implying their own provability. Journal of Symbolic Logic 48 (1983) 777-789
    • (1983) Journal of Symbolic Logic , vol.48 , pp. 777-789
    • Guaspari, D.1
  • 45
    • 32244448209 scopus 로고
    • On interpretability in set theories I
    • Hájek P. On interpretability in set theories I. Comm. Math. Univ. Carolinae 12 (1971) 73-79
    • (1971) Comm. Math. Univ. Carolinae , vol.12 , pp. 73-79
    • Hájek, P.1
  • 46
    • 32244432693 scopus 로고
    • On interpretability in set theories II
    • Hájek P. On interpretability in set theories II. Comm. Math. Univ. Carolinae 13 (1972) 445-455
    • (1972) Comm. Math. Univ. Carolinae , vol.13 , pp. 445-455
    • Hájek, P.1
  • 49
    • 77956676861 scopus 로고
    • Abbreviating proofs using metamathematical rules
    • P. Hájek, F. Montagna, and P. Pudlak [1993] Abbreviating proofs using metamathematical rules, in: Clote and Krajíček [1993], pp. 387-428.
    • (1993) Clote and Krajíček , pp. 387-428
    • Hájek, P.1    Montagna, F.2    Pudlak, P.3
  • 50
    • 0001273055 scopus 로고
    • Dynamic logic
    • Gabbay D., and Guenthener F. (Eds), Kluwer Academic Publishers, Dordrecht, Boston
    • Harel D. Dynamic logic. In: Gabbay D., and Guenthener F. (Eds). Handbook of Philosophic Logic, Volume II, Extensions of Classical Logic (1984), Kluwer Academic Publishers, Dordrecht, Boston 497-604
    • (1984) Handbook of Philosophic Logic, Volume II, Extensions of Classical Logic , pp. 497-604
    • Harel, D.1
  • 54
    • 0040834034 scopus 로고
    • On strong provability predicates and the associated modal logics
    • Ignatiev K.N. On strong provability predicates and the associated modal logics. Journal of Symbolic Logic 58 (1993) 249-290
    • (1993) Journal of Symbolic Logic , vol.58 , pp. 249-290
    • Ignatiev, K.N.1
  • 56
    • 2442556570 scopus 로고
    • The Modal Logical Means of Investigation of Provability
    • In Russian, Moscow State University
    • In Russian. Japaridze (Dzhaparidze) G.K. The Modal Logical Means of Investigation of Provability. PhD thesis (1986), Moscow State University
    • (1986) PhD thesis
    • Japaridze (Dzhaparidze), G.K.1
  • 57
    • 77956703986 scopus 로고
    • The arithmetical completeness of the logic of provability with quantifier modalities
    • In Russian
    • In Russian. Japaridze (Dzhaparidze) G.K. The arithmetical completeness of the logic of provability with quantifier modalities. Bull. Acad. Sci. Georgian SSR 132 (1988) 265-268
    • (1988) Bull. Acad. Sci. Georgian SSR , vol.132 , pp. 265-268
    • Japaridze (Dzhaparidze), G.K.1
  • 59
    • 34249959033 scopus 로고
    • Decidable and enumerable predicate logics of provability
    • Japaridze (Dzhaparidze) G.K. Decidable and enumerable predicate logics of provability. Studia Logica 49 (1990) 7-21
    • (1990) Studia Logica , vol.49 , pp. 7-21
    • Japaridze (Dzhaparidze), G.K.1
  • 60
    • 77956700581 scopus 로고
    • Provability logic with modalities for arithmetical complexities
    • Japaridze (Dzhaparidze) G.K. Provability logic with modalities for arithmetical complexities. Bull. Acad. Sci. Georgian SSR 138 (1990) 481-484
    • (1990) Bull. Acad. Sci. Georgian SSR , vol.138 , pp. 481-484
    • Japaridze (Dzhaparidze), G.K.1
  • 61
    • 34249918823 scopus 로고
    • Predicate provability logic with non-modalized quantifiers
    • Japaridze (Dzhaparidze) G.K. Predicate provability logic with non-modalized quantifiers. Studia Logica 50 (1991) 149-160
    • (1991) Studia Logica , vol.50 , pp. 149-160
    • Japaridze (Dzhaparidze), G.K.1
  • 63
    • 0010722412 scopus 로고
    • A generalized notion of weak interpretability and the corresponding logic
    • Japaridze (Dzhaparidze) G.K. A generalized notion of weak interpretability and the corresponding logic. Annals of Pure and Applied Logic 61 (1993) 113-160
    • (1993) Annals of Pure and Applied Logic , vol.61 , pp. 113-160
    • Japaridze (Dzhaparidze), G.K.1
  • 66
    • 34250100568 scopus 로고
    • A simplification of a completeness proof of Guaspari and Solovay
    • Jongh D.H.J.d. A simplification of a completeness proof of Guaspari and Solovay. Studia Logica 46 (1987) 187-192
    • (1987) Studia Logica , vol.46 , pp. 187-192
    • Jongh, D.H.J.d.1
  • 70
    • 34249925734 scopus 로고
    • Rosser-orderings and free variables
    • Jongh D.H.J.d., and Montagna F. Rosser-orderings and free variables. Studia Logica 50 (1991) 71-80
    • (1991) Studia Logica , vol.50 , pp. 71-80
    • Jongh, D.H.J.d.1    Montagna, F.2
  • 71
    • 53249151134 scopus 로고    scopus 로고
    • Solution of a problem of David Guaspari
    • To appear
    • To appear. Jongh D.H.J.d., and Pianigiani D. Solution of a problem of David Guaspari. Studia Logica 57 (1998)
    • (1998) Studia Logica , vol.57
    • Jongh, D.H.J.d.1    Pianigiani, D.2
  • 72
    • 77956679733 scopus 로고    scopus 로고
    • D. H. J. de Jongh and F. Veltman [1990] Provability logics for relative interpretability, in: Petkov [1990], pp. 31-42.
    • D. H. J. de Jongh and F. Veltman [1990] Provability logics for relative interpretability, in: Petkov [1990], pp. 31-42.
  • 73
    • 33750128931 scopus 로고
    • Explicit fixed points in interpretability logic
    • Jongh D.H.J.d., and Visser A. Explicit fixed points in interpretability logic. Studia Logica 50 (1991) 39-50
    • (1991) Studia Logica , vol.50 , pp. 39-50
    • Jongh, D.H.J.d.1    Visser, A.2
  • 75
    • 52849084502 scopus 로고
    • On faithful interpretability
    • Computation and Proof Theory. Richter M.M., Börger E., Oberschelp W., Schinzel B., and Thomas W. (Eds), Springer Verlag, Berlin, Berlin
    • Lindström P. On faithful interpretability. In: Richter M.M., Börger E., Oberschelp W., Schinzel B., and Thomas W. (Eds). Computation and Proof Theory. Lecture Notes in Mathematics #1104 (1984), Springer Verlag, Berlin, Berlin 279-288
    • (1984) Lecture Notes in Mathematics #1104 , pp. 279-288
    • Lindström, P.1
  • 77
    • 0002479447 scopus 로고
    • Some theorems about the calculi of Lewis and Heyting
    • McKinsey J.C.C., and Tarski A. Some theorems about the calculi of Lewis and Heyting. Journal of Symbolic Logic 13 (1948) 1-15
    • (1948) Journal of Symbolic Logic , vol.13 , pp. 1-15
    • McKinsey, J.C.C.1    Tarski, A.2
  • 78
    • 0010673987 scopus 로고
    • On the diagonalizable algebra of Peano arithmetic
    • Montagna F. On the diagonalizable algebra of Peano arithmetic. Bulletino della Unione Matematica Italiana 5 16B (1979) 795-812
    • (1979) Bulletino della Unione Matematica Italiana , vol.5 , Issue.16 B , pp. 795-812
    • Montagna, F.1
  • 79
    • 84972526413 scopus 로고
    • The predicate modal logic of provability
    • Montagna F. The predicate modal logic of provability. Notre Dame Journal of Formal Logic 25 (1984) 179-189
    • (1984) Notre Dame Journal of Formal Logic , vol.25 , pp. 179-189
    • Montagna, F.1
  • 80
    • 0040239576 scopus 로고
    • Provability in finite subtheories of PA
    • Montagna F. Provability in finite subtheories of PA. Journal of Symbolic Logic 52 (1987) 494-511
    • (1987) Journal of Symbolic Logic , vol.52 , pp. 494-511
    • Montagna, F.1
  • 81
    • 77956680065 scopus 로고
    • Polynomially and superexponentially shorter proofs in fragments of arithmetic
    • Montagna F. Polynomially and superexponentially shorter proofs in fragments of arithmetic. Journal of Symbolic Logic 57 (1992) 844-863
    • (1992) Journal of Symbolic Logic , vol.57 , pp. 844-863
    • Montagna, F.1
  • 83
    • 0001695955 scopus 로고
    • Existence and feasibility
    • Parikh R. Existence and feasibility. Journal of Symbolic Logic 36 (1971) 494-508
    • (1971) Journal of Symbolic Logic , vol.36 , pp. 494-508
    • Parikh, R.1
  • 86
    • 0007063968 scopus 로고
    • An effective fixed-point theorem in intuitionistic diagonalizable algebras
    • Sambin G. An effective fixed-point theorem in intuitionistic diagonalizable algebras. Studia Logica 35 (1976) 345-361
    • (1976) Studia Logica , vol.35 , pp. 345-361
    • Sambin, G.1
  • 87
    • 0010992056 scopus 로고
    • The modal logic of provability. The sequential approach
    • Sambin G., and Valentini S. The modal logic of provability. The sequential approach. Journal of Philosophical Logic 11 (1982) 311-342
    • (1982) Journal of Philosophical Logic , vol.11 , pp. 311-342
    • Sambin, G.1    Valentini, S.2
  • 88
  • 89
    • 0000672563 scopus 로고
    • Algebras of sets binumerable in complete extensions of arithmetic
    • American Mathematical Society, Providence, R.I.
    • Scott D.S. Algebras of sets binumerable in complete extensions of arithmetic. Recursive Function Theory (1962), American Mathematical Society, Providence, R.I. 117-121
    • (1962) Recursive Function Theory , pp. 117-121
    • Scott, D.S.1
  • 90
    • 0039556281 scopus 로고
    • The Logic of Relative Interpretability over Peano Arithmetic
    • (in Russian), Stekhlov Mathematical Institute, Moscow
    • (in Russian). Shavrukov V.Y. The Logic of Relative Interpretability over Peano Arithmetic. Tech. Rep. Report No. 5 (1988), Stekhlov Mathematical Institute, Moscow
    • (1988) Tech. Rep. Report No. 5
    • Shavrukov, V.Y.1
  • 92
    • 38249003074 scopus 로고
    • A note on the diagonalizable algebras of PA and ZF
    • Shavrukov V.Y. A note on the diagonalizable algebras of PA and ZF. Annals of Pure and Applied Logic 61 (1993) 161-173
    • (1993) Annals of Pure and Applied Logic , vol.61 , pp. 161-173
    • Shavrukov, V.Y.1
  • 93
    • 0004008940 scopus 로고
    • Subalgebras of diagonalizable algebras of theories containing arithmetic
    • Instytut Matematyczny, Polska Akademia Nauk, Warsaw
    • Shavrukov V.Y. Subalgebras of diagonalizable algebras of theories containing arithmetic. Dissertationes mathematicae (Rozprawy matematycne) 323 (1993), Instytut Matematyczny, Polska Akademia Nauk, Warsaw
    • (1993) Dissertationes mathematicae (Rozprawy matematycne) , vol.323
    • Shavrukov, V.Y.1
  • 95
    • 0031285566 scopus 로고    scopus 로고
    • Undecidability in diagonalizable algebras
    • Shavrukov V.Y. Undecidability in diagonalizable algebras. Journal of Symbolic Logic 62 (1997) 79-116
    • (1997) Journal of Symbolic Logic , vol.62 , pp. 79-116
    • Shavrukov, V.Y.1
  • 96
    • 0002056376 scopus 로고
    • The incompleteness theorems
    • Barwise J. (Ed), North-Holland, Amsterdam, Amsterdam
    • Smoryński C. The incompleteness theorems. In: Barwise J. (Ed). Handbook of Mathematical Logic vol. 4 (1977), North-Holland, Amsterdam, Amsterdam 821-865
    • (1977) Handbook of Mathematical Logic , vol.4 , pp. 821-865
    • Smoryński, C.1
  • 97
    • 77956665993 scopus 로고
    • Beth's theorem and self-referential statements
    • Macintyre A., Pacholski L., and Paris J.B. (Eds), North-Holland, Amsterdam, Amsterdam
    • Smoryński C. Beth's theorem and self-referential statements. In: Macintyre A., Pacholski L., and Paris J.B. (Eds). Computation and Proof Theory (1978), North-Holland, Amsterdam, Amsterdam 17-36
    • (1978) Computation and Proof Theory , pp. 17-36
    • Smoryński, C.1
  • 99
    • 51249190137 scopus 로고
    • Provability interpretations of modal logic
    • Solovay R.M. Provability interpretations of modal logic. Israel Journal of Mathematics 25 (1976) 287-304
    • (1976) Israel Journal of Mathematics , vol.25 , pp. 287-304
    • Solovay, R.M.1
  • 100
    • 4243329714 scopus 로고    scopus 로고
    • Arithmetical Realizations of Modal Formulas
    • Acta Philosophica Gothoburgensia 5, University of Göteborg
    • Acta Philosophica Gothoburgensia 5. Strannegrd C. Arithmetical Realizations of Modal Formulas. PhD thesis (1997), University of Göteborg
    • (1997) PhD thesis
    • Strannegrd, C.1
  • 104
    • 33845545159 scopus 로고
    • Arithmetic complexity of predicate logics of provability and their fragments
    • In Russian, English translation in Soviet Math. Dokl. 33 (1986), pp. 569-572
    • In Russian, English translation in Soviet Math. Dokl. 33 (1986), pp. 569-572. Vardanyan V.A. Arithmetic complexity of predicate logics of provability and their fragments. Doklady Akademii Nauk SSSR 288 (1986) 11-14
    • (1986) Doklady Akademii Nauk SSSR , vol.288 , pp. 11-14
    • Vardanyan, V.A.1
  • 105
    • 52849110834 scopus 로고
    • Efficient Metamathematics
    • ILLC-disseration series 1993-3, Universiteit van Amsterdam
    • ILLC-disseration series 1993-3. Verbrugge R. Efficient Metamathematics. PhD thesis (1993), Universiteit van Amsterdam
    • (1993) PhD thesis
    • Verbrugge, R.1
  • 106
    • 77956673658 scopus 로고    scopus 로고
    • Feasible interpretability, in: clote and Krajíček [1993], pp. 197-221.
    • Feasible interpretability, in: clote and Krajíček [1993], pp. 197-221.
  • 107
    • 0002197629 scopus 로고
    • Numerations, Λ-calculus and arithmetic
    • Seldin J.P., and Hindley J.R. (Eds), Academic Press, Inc., London
    • Visser A. Numerations, Λ-calculus and arithmetic. In: Seldin J.P., and Hindley J.R. (Eds). To H.B. Curry: Essays on Combinatory logic, lambda calculus and formalism (1980), Academic Press, Inc., London 259-284
    • (1980) To H.B. Curry: Essays on Combinatory logic, lambda calculus and formalism , pp. 259-284
    • Visser, A.1
  • 108
    • 4243631199 scopus 로고
    • Aspects of Diagonalization and Provability
    • University of Utrecht, Utrecht, The Netherlands
    • Visser A. Aspects of Diagonalization and Provability. PhD thesis (1981), University of Utrecht, Utrecht, The Netherlands
    • (1981) PhD thesis
    • Visser, A.1
  • 109
    • 0010716496 scopus 로고
    • The provability logics of recursively enumerable theories extending Peano arithmetic at arbitrary theories extending Peano arithmetic
    • Visser A. The provability logics of recursively enumerable theories extending Peano arithmetic at arbitrary theories extending Peano arithmetic. Journal of Philosophical Logic 13 (1984) 97-113
    • (1984) Journal of Philosophical Logic , vol.13 , pp. 97-113
    • Visser, A.1
  • 110
    • 0008057406 scopus 로고
    • Evaluation, Provably Deductive Equivalence in Heyting's arithmetic of Substitution Instances of Propositional Formulas
    • Department of Philosophy, Utrecht University
    • Visser A. Evaluation, Provably Deductive Equivalence in Heyting's arithmetic of Substitution Instances of Propositional Formulas. Tech. Rep. LGPS 4 (1985), Department of Philosophy, Utrecht University
    • (1985) Tech. Rep. LGPS 4
    • Visser, A.1
  • 111
    • 84972511093 scopus 로고
    • Visser A. Peano's smart children. a provability logical study of systems with built-in consistency. Notre Dame Journal of Formal Logic 30 (1989) 161-196
    • (1989) Notre Dame Journal of Formal Logic , vol.30 , pp. 161-196
    • Visser, A.1
  • 112
    • 77956701533 scopus 로고    scopus 로고
    • Interpretability logic, in: Petkov [1990], pp. 175-209
    • Interpretability logic, in: Petkov [1990], pp. 175-209
  • 113
    • 0010102198 scopus 로고
    • The formalization of interpretability
    • Visser A. The formalization of interpretability. Studia Logica 50 (1991) 81-106
    • (1991) Studia Logica , vol.50 , pp. 81-106
    • Visser, A.1
  • 114
    • 0003745319 scopus 로고
    • Propositional Combinations of Σ-Sentences in Heyting's Arithmetic
    • To appear in the Annals of Pure and Applied Logic, Department of Philosophy, Utrecht University
    • To appear in the Annals of Pure and Applied Logic. Visser A. Propositional Combinations of Σ-Sentences in Heyting's Arithmetic. Tech. Rep. LGPS 117 (1994), Department of Philosophy, Utrecht University
    • (1994) Tech. Rep. LGPS 117
    • Visser, A.1
  • 115
    • 58149211430 scopus 로고
    • A course in bimodal provability logic
    • Visser A. A course in bimodal provability logic. Annals of Pure and Applied Logic 73 (1995) 109-142
    • (1995) Annals of Pure and Applied Logic , vol.73 , pp. 109-142
    • Visser, A.1
  • 116
    • 0008103821 scopus 로고    scopus 로고
    • An overview of interpretability logic
    • Kracht M., Rijke M.d., and Wansing H. (Eds), CSLI Publications, Stanford
    • Visser A. An overview of interpretability logic. In: Kracht M., Rijke M.d., and Wansing H. (Eds). Advances in Modal Logic '96 (1997), CSLI Publications, Stanford
    • (1997) Advances in Modal Logic '96
    • Visser, A.1
  • 117
    • 0000081459 scopus 로고
    • NILL, a study in intuitionistic propositional logic
    • Modal Logic and Process Algebra, a Bisimulation Perspective. Ponse A., Rijke M.d., and Venema Y. (Eds), CSLI Publications, Stanford
    • Visser A., van Benthem J., Jongh D.H.J.d., and Renardel de Lavalette G.R. NILL, a study in intuitionistic propositional logic. In: Ponse A., Rijke M.d., and Venema Y. (Eds). Modal Logic and Process Algebra, a Bisimulation Perspective. CSLI Lecture Notes #53 (1995), CSLI Publications, Stanford 289-326
    • (1995) CSLI Lecture Notes #53 , pp. 289-326
    • Visser, A.1    van Benthem, J.2    Jongh, D.H.J.d.3    Renardel de Lavalette, G.R.4
  • 118
    • 84972492480 scopus 로고
    • A simplification of the completeness proofs for Guaspari and Solovay's R
    • Voorbraak F. A simplification of the completeness proofs for Guaspari and Solovay's R. Notre Dame Journal of Formal Logic 31 (1988) 44-63
    • (1988) Notre Dame Journal of Formal Logic , vol.31 , pp. 44-63
    • Voorbraak, F.1
  • 119
    • 84972575699 scopus 로고
    • On the proofs of arithmetical completeness of interpretability logic
    • Zambella D. On the proofs of arithmetical completeness of interpretability logic. Notre Dame Journal of Formal Logic 35 (1992) 542-551
    • (1992) Notre Dame Journal of Formal Logic , vol.35 , pp. 542-551
    • Zambella, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.