Skip to main content

Intensionale Funktionalinterpretation der Analysis

Part of the Lecture Notes in Mathematics book series (LNM,volume 500)

Keywords

  • Transfinite Induction
  • Nach Lemma

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  1. Barendregt, H.: Pairing without conventional restraints. Verviel-fältigt, Utrecht 1973.

    MATH  Google Scholar 

  2. Diller, J., Nahm, W.: Eine Variante zur Dialectica-Interpretation der Heyting-Arithmetik endlicher Typen. Arch. math. Logik 16 (1974), 49–66.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Diller, J., Schütte, K.: Simultane Rekursionen in der Theorie der Funktionale endlicher Typen. Arch. math. Logik 14 (1971), 69–74.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Gödel, K.: Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes. Dialectica 12 (1958), 280–287.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Howard, W.A.: Functional interpretation of bar induction by bar recursion. Compositio Math. 20 (1968), 107–124.

    MathSciNet  MATH  Google Scholar 

  6. Howard, W.A.: Ordinal analysis of bar recursion of type zero. Vervielfältigt, Chicago 1969.

    Google Scholar 

  7. Howard, W.A., Kreisel, G.: Transfinite induction and bar induction of types zero and one, and the role of continuity in intuitionistic analysis. J. Symb. Logic 31 (1966), 325–358.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Kreisel, G.: On the interpretation of non-finitist proofs, I.J. Symb. Logic 16 (1951), 241–267.

    MathSciNet  MATH  Google Scholar 

  9. Kreisel, G.: Proof by transfinite induction and definition by transfinite recursion. J. Symb. Logic 24 (1959), 322–323.

    Google Scholar 

  10. Luckhardt, H.: Extensional Gödel functional interpretation. Springer Lecture Notes 306, Berlin-Heidelberg-New York 1973.

    Google Scholar 

  11. Spector, C.: Provably recursive functionals of analysis. Proc. Symp. Pure Math., vol. 5, AMS, Providence 1962, 1–27.

    MATH  Google Scholar 

  12. Tait, W.W.: Normal form theorem for bar recursive functions of finite type. Proc. 2nd Scandinavian Logic Symposium, Amsterdam 1971, 353–367.

    Google Scholar 

  13. Troelstra, A.S.: Metamathematical investigation of intuitionistic arithmetic and analysis. Springer Lecture Notes 344, Berlin-Heidelberg-New York 1973. *** DIRECT SUPPORT *** A00J4136 00003

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Additional information

Kurt Schütte zum 65. Geburtstag gewidmet

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Diller, J., Vogel, H. (1975). Intensionale Funktionalinterpretation der Analysis. In: Diller, J., Müller, G.H. (eds) ⊨ISILC Proof Theory Symposion. Lecture Notes in Mathematics, vol 500. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079547

Download citation

  • DOI: https://doi.org/10.1007/BFb0079547

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07533-2

  • Online ISBN: 978-3-540-38020-7

  • eBook Packages: Springer Book Archive