Set-theoretic models of the untyped &lambda;-calculus determined by new notions of continuity

Lyaletsky Alexandre

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LYALETSKY, Alexandre. Set-theoretic models of the untyped λ-calculus determined by new notions of continuity. In: Conference on Mathematical Foundations of Informatics, Ed. 2016, 25-30 iulie 2016, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2016, pp. 262-267. ISBN 978‐9975‐4237‐4‐8.

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Conference on Mathematical Foundations of Informatics 2016

Conferința "Conference on Mathematical Foundations of Informatics"
2016, Chișinău, Moldova, 25-30 iulie 2016

Set-theoretic models of the untyped λ-calculus determined by new notions of continuity

Pag. 262-267

Lyaletsky Alexandre

Taras Shevchenko National University of Kyiv

Disponibil în IBN: 30 martie 2018

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Rezumat

The research is devoted to the construction of nontrivial models for untyped λ-calculus according to the Koymans method, which led to the introduction and study of special non-topological notions of a continuity of a function acting on partially ordered sets. The main results obtained in this direction are presented.

Cuvinte-cheie
Untyped λ-calculus, λ-model, Koymans method, continuity of a function

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