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Volumn 9, Issue 4, 1999, Pages 323-333

A new method for establishing conservativity of classical systems over their intuitionistic version

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EID: 85016922087     PISSN: 09601295     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0960129599002844     Document Type: Article
Times cited : (27)

References (23)
  • 1
    • 77956688993 scopus 로고
    • Proof Theory
    • Cambridge University Press.
    • Aczel, P., Simmons, H. and Wainer, S. (eds.) (1992) Proof Theory, Cambridge University Press.
    • (1992)
    • Aczel, P.1    Simmons, H.2    Wainer, S.3
  • 2
    • 85023088784 scopus 로고    scopus 로고
    • Interpreting classical theories in constructive ones
    • available from
    • Avigad, J. (1998) Interpreting classical theories in constructive ones. Preprint, available from http://macduff.andrew.emu.edu/avigad.
    • (1998) Preprint
    • Avigad, J.1
  • 4
    • 0004137919 scopus 로고
    • Iterated Inductive Definitions and Sub-systems of Analysis: Recent Proof-Theoretical Studies
    • Springer-Verlag Lecture Notes in Mathe-matics
    • Buchholz, W., Feferman, S., Pohlers, W. and Sieg, W. (1981) Iterated Inductive Definitions and Sub-systems of Analysis: Recent Proof-Theoretical Studies. Springer-Verlag Lecture Notes in Mathe-matics 897.
    • (1981) , vol.897
    • Buchholz, W.1    Feferman, S.2    Pohlers, W.3    Sieg, W.4
  • 5
    • 85023102736 scopus 로고
    • Some proof-theoretical results in the theories
    • March
    • Buchholz, W. (1977) Some proof-theoretical results in the theories IDCV, IDiv, Preprint, March 1977.
    • (1977) IDCV, IDiv, Preprint
    • Buchholz, W.1
  • 6
    • 0038138174 scopus 로고
    • On model theory for intuitionistic bounded arithmetic with applications to independence results
    • In: Buss, S.R. and Scott, P. J. (eds.) Birkhauser
    • Buss, S.R. (1990) On model theory for intuitionistic bounded arithmetic with applications to independence results. In: Buss, S.R. and Scott, P. J. (eds.) Feasible Mathematics, Birkhauser 27–47.
    • (1990) Feasible Mathematics , pp. 27-47
    • Buss, S.R.1
  • 7
  • 8
    • 85023010715 scopus 로고    scopus 로고
    • Formal Topology in Type Theory
    • Chalmers University
    • Cederquist, J. (1997) Formal Topology in Type Theory. Ph. D. thesis, Chalmers University.
    • (1997) Ph. D. thesis
    • Cederquist, J.1
  • 9
    • 0003055148 scopus 로고
    • The intrinsic computational difficulty of functions
    • In: Bar-Hillel, Y. (ed.) Springer Verlag
    • A. Cobham (1965) The intrinsic computational difficulty of functions. In: Bar-Hillel, Y. (ed.) Logic, Methodology, and Philosophy of Science II, Springer Verlag 24–30.
    • (1965) Logic, Methodology, and Philosophy of Science II , pp. 24-30
    • Cobham, A.1
  • 10
    • 0348094155 scopus 로고
    • Functional interpretations of feasibly constructive arithmetic
    • Cook, S. and Urquhart, A. (1993) Functional interpretations of feasibly constructive arithmetic. Annals of Pure and Applied Logic 63 103–200.
    • (1993) Annals of Pure and Applied Logic , vol.63 , pp. 103-200
    • Cook, S.1    Urquhart, A.2
  • 12
    • 60950457487 scopus 로고
    • The foundations of mathematics
    • In: van Heijenoort, J. (ed.)
    • Hilbert, D. (1971) The foundations of mathematics. In: van Heijenoort, J. (ed.) From Frege to Godel, Harvard University Press 465–479.
    • (1971) From Frege to Godel, Harvard University Press , pp. 465-479
    • Hilbert, D.1
  • 13
    • 85022995021 scopus 로고    scopus 로고
    • A course in proof theory
    • (Manuscript, currently (April 1998) available at
    • Jervell, H. R. (1998) A course in proof theory. (Manuscript, currently (April 1998) available at www.uio.no/Mierman/ptheory.ps.)
    • (1998)
    • Jervell, H.R.1
  • 14
    • 0013485515 scopus 로고    scopus 로고
    • Schwache Fragmente der Arithmetik und Schwellwertschaltkreise beschreinkter Tiefe
    • Johannsen, J. (1996) Schwache Fragmente der Arithmetik und Schwellwertschaltkreise beschreinkter Tiefe, Ph. D. thesis, Universitat Erlangen.
    • (1996) Ph. D. thesis, Universitat Erlangen
    • Johannsen, J.1
  • 16
    • 77956955085 scopus 로고
    • On a number theoretic choice schema and its relation to induction
    • In: Kino, Myhill and Vesley (eds.) North-Holland
    • Parsons, C. (1970) On a number theoretic choice schema and its relation to induction. In: Kino, Myhill and Vesley (eds.) Intuitionism and Proof Theory, North-Holland 459–473.
    • (1970) Intuitionism and Proof Theory , pp. 459-473
    • Parsons, C.1
  • 17
    • 0000646315 scopus 로고
    • On n-quantifier induction
    • Parsons, C. (1972) On n-quantifier induction. Journal of Symbolic Logic 37 466–482.
    • (1972) Journal of Symbolic Logic , vol.37 , pp. 466-482
    • Parsons, C.1
  • 18
    • 0002625904 scopus 로고
    • A short course in ordinal analysis
    • In: Aczel, P., Simmons, H. and Wainer, S. (eds.)
    • Pohlers, W. (1992) A short course in ordinal analysis. In: Aczel, P., Simmons, H. and Wainer, S. (eds.) Proof Theory, Cambridge University Press 27–78.
    • (1992) Proof Theory, Cambridge University Press , pp. 27-78
    • Pohlers, W.1
  • 19
    • 0002230409 scopus 로고    scopus 로고
    • A new and elementary method to represent every complete Boolean algebra
    • In: Ursini, A. and Agliano, P. (eds.) Logic and algebra (Pontignano, 1994) Dekker New York
    • Sambin, G. (1996) A new and elementary method to represent every complete Boolean algebra. In: Ursini, A. and Agliano, P. (eds.) Logic and algebra (Pontignano, 1994). Lecture Notes in Pure and Appl. Math., Dekker, New York 180 655–665.
    • (1996) Lecture Notes in Pure and Appl. Math. , vol.180 , pp. 655-665
    • Sambin, G.1
  • 20
    • 0002455526 scopus 로고
    • Normal Derivability in Classical Logic
    • In: Barwise, J. (ed.)
    • Tait, W. (1968) Normal Derivability in Classical Logic. In: Barwise, J. (ed.) Springer-Verlag Lecture Notes in Mathematics 72 204–236.
    • (1968) Springer-Verlag Lecture Notes in Mathematics , vol.72 , pp. 204-236
    • Tait, W.1
  • 23
    • 0010015481 scopus 로고
    • Basic proof theory
    • In: Aczel, P. Simmons, H. and Wainer, S. (eds.) Cambridge University Press
    • Wainer, S. and Wallen, L. (1992) Basic proof theory. In: Aczel, P. Simmons, H. and Wainer, S. (eds.) Proof Theory, Cambridge University Press 1–26.
    • (1992) Proof Theory , pp. 1-26
    • Wainer, S.1    Wallen, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.