Fundamental theorems of extensional untyped lambda-calculus revisited
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LYALETSKY, Alexandre. Fundamental theorems of extensional untyped lambda-calculus revisited. In: Computer Science Journal of Moldova, 2015, nr. 2(68), pp. 153-164. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 2(68) / 2015 / ISSN 1561-4042 /ISSNe 2587-4330

Fundamental theorems of extensional untyped lambda-calculus revisited
CZU: 519.7:004.94

Pag. 153-164

Lyaletsky Alexandre
 
Taras Shevchenko National University of Kyiv
 
 
Disponibil în IBN: 20 noiembrie 2015


Rezumat

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.

Cuvinte-cheie
extensional untyped λ-calculus, βη-reduction, postponement of η-reduction, η-Postponement theorem, βη-Normal form theorem, Normalization theorem for βη-reduction