A Few Notes on Lambda-Computation and TIL-Construction (21st Conference Applications of Logic in Philosophy and the Foundations of Mathematics, Szklarska Poręba, 10. 5. 2016)

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F16%3A00087923" target="_blank" >RIV/00216224:14210/16:00087923 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A Few Notes on Lambda-Computation and TIL-Construction (21st Conference Applications of Logic in Philosophy and the Foundations of Mathematics, Szklarska Poręba, 10. 5. 2016)

Popis výsledku v původním jazyce

Lambda calculus (abbr. LC) originally developed by (Church, 1932) can be regarded as the most universal tool for expressing computations (Turing, 1937). Its fundamental computation rule, so called beta-reduction, is defined in terms of substitution and it embodies the idea of function application. Consequently, each application of beta-reduction rule can be regarded as a single computational step. There is, however, at least one formal system utilizing lambda calculus in which these correspondences (roughly put, computational step = beta-reduction = function application) do not hold. It is called transparent intensional logic (abbr. TIL) and it was developed by (Tichý, 1988). I will, however, focus on one of its later variants found in (Duží, Jespersen, Materna, 2010). In the present talk I will examine this deviation from standard lambda calculus and explore the outcomes it entails for the corresponding system.

Název v anglickém jazyce

A Few Notes on Lambda-Computation and TIL-Construction (21st Conference Applications of Logic in Philosophy and the Foundations of Mathematics, Szklarska Poręba, 10. 5. 2016)

Popis výsledku anglicky

Lambda calculus (abbr. LC) originally developed by (Church, 1932) can be regarded as the most universal tool for expressing computations (Turing, 1937). Its fundamental computation rule, so called beta-reduction, is defined in terms of substitution and it embodies the idea of function application. Consequently, each application of beta-reduction rule can be regarded as a single computational step. There is, however, at least one formal system utilizing lambda calculus in which these correspondences (roughly put, computational step = beta-reduction = function application) do not hold. It is called transparent intensional logic (abbr. TIL) and it was developed by (Tichý, 1988). I will, however, focus on one of its later variants found in (Duží, Jespersen, Materna, 2010). In the present talk I will examine this deviation from standard lambda calculus and explore the outcomes it entails for the corresponding system.

Druh

O - Ostatní výsledky

CEP obor

AA - Filosofie a náboženství

OECD FORD obor

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Projekt

<a href="/cs/project/GA16-19395S" target="_blank" >GA16-19395S: Sémantické pojmy, paradoxy a hyperintenzionální logika založená na moderní rozvětvené teorii typů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů