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Some applications of Kleene's methods for intuitionistic systems

  • Intuitionism
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Cambridge Summer School in Mathematical Logic

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 337))

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References

  1. D. Gabbay, The Dedidability of the Kreisel-Putnam System, JSL, 35 (1970), 431–437.

    MathSciNet  MATH  Google Scholar 

  2. D. Gabbay, Applications of Trees to Intermediate Logics I, JSL, 36 (1971).

    Google Scholar 

  3. J-Y. Girard, Une Extension De L'Interpretation De Gödel A L'Analyse, Et Son Application A L'Elimination Des Coupures Dans L'Analyse Et La Theorie Des Types, in: J. E. Fenstad (editor), Proceedings of the Second Scandinavian Logic Symposium, North-Holland, 1971, 63–92.

    Google Scholar 

  4. D. deJongh, The Maximality of the Intuitionistic Predicate Calculus with Respect to Heyting's Arithmetic, presented at the Second Scandinavian Logic Symposium at Oslo, June 1970.

    Google Scholar 

  5. S. C. Kleene, On the Interpretation of Intuitionistic Number Theory, JSL, 10 (1945), 109–124.

    MathSciNet  MATH  Google Scholar 

  6. S. C. Kleene, Introduction to Metamathematics, Von Nostrand, 1950.

    Google Scholar 

  7. S. C. Kleene, Disjunction and Existence under Implication in Elementary Intuitionistic Formalisms, JSL, 27 (1962), 11–18.

    MathSciNet  MATH  Google Scholar 

  8. G. Kreisel and A. S. Troelstra, Formal Systems for Some Branches of Intuitionistic Analysis, Annals of Mathematical Logic, 1 (1970), 229–387.

    Article  MathSciNet  MATH  Google Scholar 

  9. P. Martin-Löf, Hauptsatz for the Theory of Species, in: J. E. Fenstad (editor), Proceedings of the Second Scandinavian Logic Symposium, North-Holland, 1971, 217–233.

    Google Scholar 

  10. C. McKay, Decidability of Certain Intermediate Logics, JSL, 33 (1968), 258–265.

    MathSciNet  MATH  Google Scholar 

  11. J. Myhill, Some Properties of Intuitionistic Zermelo-Frankel Set Theory, this volume.

    Google Scholar 

  12. D. Prawitz, Natural Deduction, A Proof-Theoretical Study, Stockholm, Göteborg, Uppsala (Almqvist and Wiksell), 1965.

    Google Scholar 

  13. C. Smorynski, Doctoral Dissertation, University of Illinois at Chicago Circle.

    Google Scholar 

  14. A. S. Troelstra, Notes on Intuitionistic Second Order Arithmetic, this volume.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Philosophy, Stanford University, U.S.A.

    Harvey Friedman

Authors
  1. Harvey Friedman
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Editor information

A. R. D. Mathias H. Rogers

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© 1973 Springer-Verlag

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Friedman, H. (1973). Some applications of Kleene's methods for intuitionistic systems. In: Mathias, A.R.D., Rogers, H. (eds) Cambridge Summer School in Mathematical Logic. Lecture Notes in Mathematics, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066773

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  • DOI: https://doi.org/10.1007/BFb0066773

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05569-3

  • Online ISBN: 978-3-540-36884-7

  • eBook Packages: Springer Book Archive

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