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IMI/Publicaţii/CSJM/Ediţii/CSJM v.23, n.2 (68), 2015/

Fundamental theorems of extensional untyped lambda-calculus revisited

Authors: Alexandre Lyaletsky

Abstract

This paper presents new proofs of three following fundamental theorems of the untyped extensional lambda-calculus: the eta-Postpo-nement theorem, the beta eta-Normal form theorem, and the Norma-lization theorem for beta eta-reduction. These proofs do not involve any special extensions of the standard language of lambda-terms but nevertheless are shorter and much more comprehensive than their known analogues.

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