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519.7:004.94 (1) |
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SM ISO690:2012 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 | ||||||
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CZU: 519.7:004.94 | ||||||
Pag. 153-164 | ||||||
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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. |
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Cuvinte-cheie extensional untyped λ-calculus, βη-reduction, postponement of η-reduction, η-Postponement theorem, βη-Normal form theorem, Normalization theorem for βη-reduction |
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