The conservation theorem revisited

  • Philippe Groote
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 664)


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 β1βs-normal form is strongly β-normalizable. We show how to use this result to prove the strong normalization of different typed λ-calculi.


Normal Form Induction Hypothesis Combinatory Logic Typing Context Strong Normalization 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Philippe Groote
    • 1
  1. 1.Campus ScientifiqueINRIA-Lorraine-CRIN-CNRSVandœuvre-les-Nancy CedexFrance

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