Existential Generalization in TIL

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10235979" target="_blank" >RIV/61989100:27240/17:10235979 - isvavai.cz</a>

Alternative codes found

RIV/47813059:19240/17:A0000111

Result on the web

<a href="http://dx.doi.org/10.5593/sgem2017/21/S07.040" target="_blank" >http://dx.doi.org/10.5593/sgem2017/21/S07.040</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5593/sgem2017/21/S07.040" target="_blank" >10.5593/sgem2017/21/S07.040</a>

Result language

angličtina

Original language name

Existential Generalization in TIL

Original language description

The paper deals with the fundamental rule of extensional logics, namely the rule of Existential Generalization. This rule can be applied in the situation when a function f is applied on its argument a to obtain the value of f at a. If the application does not fail, i.e., if the function f is defined at a, then we can existentially quantify, and derive that there is the value f(a). Our system is based on Transparent Intensional Logic (TIL). Since TIL is a hyperintensional, partial, typed lambda calculus, we examine the validity of the rule in TIL, or rather in its computational variant the TIL-Script language. The rule is context sensitive in the sense that depending on a context we should recognize the type of entity to be abstracted over. This is not to say that the rule can be invalid dependently on context; the rule is valid universally. Only that the type of the argument over which we quantity depends on the context. There are three kinds of contexts to be distinguished, namely extensional, intensional and hyperintensonal. We introduce the definition of these three kinds of context and an algorithm that recognizes in which context a particular construction occurs so that the Existential Generalization can be validly applied. The tool navigates users through the correct application of the deduction rules.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GA15-13277S" target="_blank" >GA15-13277S: Hyperintensional logic for natural language analysis</a><br>

Continuities

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

Publication year

2017

Confidentiality

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

Article name in the collection

17th International Multidisciplinary Scientific GeoConference: SGEM 2017 : conference proceedings : 29 June-5 July, 2017, Albena, Bulgaria. Volume 17. Issue 21

ISBN

978-619-7408-01-0

ISSN

1314-2704

e-ISSN

neuvedeno

Number of pages

8

Pages from-to

311-318

Publisher name

STEF92 Technology Ltd.

Place of publication

Sofia

Event location

Albena

Event date

Jun 29, 2017

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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