Skip to main content
SpringerLink
Log in

Strong normalization for arithmetic

Variations on a theme of prawitz

  • Conference paper
  • First Online:
⊨ISILC Proof Theory Symposion

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • G. GENTZEN [36], Die Widerspruchsfreiheit der einen Zahlentheorie, Math. Ann., 112 (1936) 493–565.

    Article  MathSciNet  MATH  Google Scholar 

  • D. LEIVANT [73], Existential instantiation in a system of natural deduction for intuitiouistic arithmetic, Report ZW 13/73, Mathematisch Centrum, Amsterdam, 1973.

    MATH  Google Scholar 

  • E.G.K. LOPEZ-ESCOBAR [74], Elementary interpretations of negationless arithmetic, Fund. Math. 82 (1974) 25–38.

    MathSciNet  MATH  Google Scholar 

  • D. PRAWITZ [65], Natural Deduction, Stockholm, 1965.

    Google Scholar 

  • D. PRAWITZ [71], Ideas and results of proof-theory, in: FENSTAD (ed.), Proceedings of the 2nd Scandinavian logic symposium, Amsterdam, 1971, pp. 235–307.

    Google Scholar 

  • A.S. TROELSTRA [73], Metamathematical investigation of intuitiouistic arithmetic and analysis, Berlin etc., 1973.

    Google Scholar 

  • A.S. TROELSTRA [74], Note on the fan theorem, Report 74-14, University of Amsterdam, Sept. 1974.

    Google Scholar 

  • J. ZUCKER [74], Cut-elimination and normalization, Annals of Math. Logic 7 (1974) 1–112. *** DIRECT SUPPORT *** A00J4136 00005

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisch Centrum, Amsterdam, The Netherlands

    Daniel Leivant

Authors
  1. Daniel Leivant
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Justus Diller Gert H. Müller

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Leivant, D. (1975). Strong normalization for arithmetic. 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/BFb0079552

Download citation

  • DOI: https://doi.org/10.1007/BFb0079552

  • 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

Publish with us

Policies and ethics

Search

Navigation