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The conservation theorem revisited

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Typed Lambda Calculi and Applications (TLCA 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 664))

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Abstract

This paper describes a method of proving strong normalization based on an extension of the conservation theorem. We introduce a structural notion of reduction that we call βs, and we prove that any λ-term that has a β 1 β s-normal form is strongly β-normalizable. We show how to use this result to prove the strong normalization of different typed λ-calculi.

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Authors and Affiliations

  1. Campus Scientifique, INRIA-Lorraine-CRIN-CNRS, B.P. 239, 54506, Vandœuvre-les-Nancy Cedex, France

    Philippe Groote

Authors
  1. Philippe Groote
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Marc Bezem Jan Friso Groote

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© 1993 Springer-Verlag Berlin Heidelberg

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Groote, P. (1993). The conservation theorem revisited. In: Bezem, M., Groote, J.F. (eds) Typed Lambda Calculi and Applications. TLCA 1993. Lecture Notes in Computer Science, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0037105

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  • DOI: https://doi.org/10.1007/BFb0037105

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56517-8

  • Online ISBN: 978-3-540-47586-6

  • eBook Packages: Springer Book Archive

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