Logic as Universal Language and Quantification over Orders and Types within Type Theory

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F15%3A00083861" target="_blank" >RIV/00216224:14210/15:00083861 - 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
Logic as Universal Language and Quantification over Orders and Types within Type Theory
Popis výsledku v původním jazyce
My main goal in this talk is to show how a particular type theory can fulfil a role of universal logical language. I will demonstrate how to properly quantify over orders and types in an extended type theory -- which shows its expressibility. I will point at some further possibilities and also limits of extending such type theory. I will conclude that the extended type theory, which is capable to discuss 'lower-level' type-theories, will not result in a hierarchy - which shows its universality.
Název v anglickém jazyce
Logic as Universal Language and Quantification over Orders and Types within Type Theory
Popis výsledku anglicky
My main goal in this talk is to show how a particular type theory can fulfil a role of universal logical language. I will demonstrate how to properly quantify over orders and types in an extended type theory -- which shows its expressibility. I will point at some further possibilities and also limits of extending such type theory. I will conclude that the extended type theory, which is capable to discuss 'lower-level' type-theories, will not result in a hierarchy - which shows its universality.

Projekt
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Návaznosti
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2015
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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