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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