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Volumn 64, Issue 1, 1999, Pages 53-67

The proof-theoretic analysis of transfinitely iterated fixed point theories

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EID: 0039756657     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2586750     Document Type: Article
Times cited : (37)

References (16)
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    • W. BUCHHOLZ, S. FEFERMAN, W. POHLERS, and W. SIEG, Iterated inductive definitions and subsystems of analysis: Recent proof-theoretical studies. Lecture Notes in Mathematics, vol. 897, Springer-Verlag, Berlin, 1981.
    • (1981) Lecture Notes in Mathematics , vol.897
    • Buchholz, W.1    Feferman, S.2    Pohlers, W.3    Sieg, W.4
  • 2
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    • A note on a predicatively reducible theory of iterated elementary induction
    • A. CANTINI, A note on a predicatively reducible theory of iterated elementary induction, Bollettino Unione Mathematica Italiana 4-B, vol. 6 (1985), pp. 413-430.
    • (1985) Bollettino Unione Mathematica Italiana 4-B , vol.6 , pp. 413-430
    • Cantini, A.1
  • 5
    • 77956947535 scopus 로고
    • Iterated inductive fixed-point theories: Application to Hancock's conjecture
    • (G. Metakides, editor), North-Holland, Amsterdam
    • S. FEFERMAN, Iterated inductive fixed-point theories: application to Hancock's conjecture, The Patras symposion (G. Metakides, editor), North-Holland, Amsterdam, 1982, pp. 171-196.
    • (1982) The Patras Symposion , pp. 171-196
    • Feferman, S.1
  • 6
    • 0039802515 scopus 로고
    • this JOURNAL
    • _, Reflecting on incompleteness, this JOURNAL, vol. 56 (1991), no. 1, pp. 1-49.
    • (1991) Reflecting on Incompleteness , vol.56 , Issue.1 , pp. 1-49
  • 9
    • 0040125788 scopus 로고    scopus 로고
    • Ph.D. thesis, Institut für Informatik und angewandte Mathematik, Universität Bern
    • R. KAHLE, Applicative theories and Frege structures, Ph.D. thesis, Institut für Informatik und angewandte Mathematik, Universität Bern, 1997.
    • (1997) Applicative Theories and Frege Structures
    • Kahle, R.1
  • 10
    • 0032114450 scopus 로고    scopus 로고
    • The μ quantification operator in explicit mathematics with universes and iterated fixed point theories with ordinals
    • M. MARZETTA and T. STRAHM, The μ quantification operator in explicit mathematics with universes and iterated fixed point theories with ordinals, Archive for Mathematical Logic, vol. 37 (1998), pp. 391-413.
    • (1998) Archive for Mathematical Logic , vol.37 , pp. 391-413
    • Marzetta, M.1    Strahm, T.2
  • 11
    • 0002564401 scopus 로고    scopus 로고
    • On universes in type theory
    • (G. Sambin and J. Smith, editors), Oxford University Press, to appear
    • E. PALMGREN, On universes in type theory, Twenty-five years of type theory (G. Sambin and J. Smith, editors), Oxford University Press, to appear.
    • Twenty-five Years of Type Theory
    • Palmgren, E.1
  • 12
    • 0003362273 scopus 로고
    • Proof theory: An introduction
    • Springer-Verlag, Berlin
    • W. POHLERS, Proof theory: An introduction, Lecture Notes in Mathematics, vol. 1407, Springer-Verlag, Berlin, 1988.
    • (1988) Lecture Notes in Mathematics , vol.1407
    • Pohlers, W.1
  • 14
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    • Kennzeichnung von ordnungszahlen durch rekursiv erklärte funktionen
    • K. SCHÜTTE, Kennzeichnung von Ordnungszahlen durch rekursiv erklärte Funktionen, Mathematische Annalen, vol. 127 (1954), pp. 15-32.
    • (1954) Mathematische Annalen , vol.127 , pp. 15-32
    • Schütte, K.1
  • 15
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    • Springer-Verlag, Berlin
    • _, Proof theory, Springer-Verlag, Berlin, 1977.
    • (1977) Proof Theory


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.