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

Lyaletsky Alexandre

Articolul precedent

Articolul urmator

666

SM ISO690:2012

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.

EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core

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

Descarcă PDF

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

Cerif XML Export

<?xml version='1.0' encoding='utf-8'?>
<CERIF xmlns='urn:xmlns:org:eurocris:cerif-1.5-1' xsi:schemaLocation='urn:xmlns:org:eurocris:cerif-1.5-1 http://www.eurocris.org/Uploads/Web%20pages/CERIF-1.5/CERIF_1.5_1.xsd' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' release='1.5' date='2012-10-07' sourceDatabase='Output Profile'>
<cfResPubl>
<cfResPublId>ibn-ResPubl-60807</cfResPublId>
<cfResPublDate>2016</cfResPublDate>
<cfStartPage>262</cfStartPage>
<cfISBN>978‐9975‐4237‐4‐8</cfISBN>
<cfURI>https://ibn.idsi.md/ro/vizualizare_articol/60807</cfURI>
<cfTitle cfLangCode='EN' cfTrans='o'>Set-theoretic models of the untyped &lambda;-calculus determined by new notions of continuity</cfTitle>
<cfKeyw cfLangCode='EN' cfTrans='o'>Untyped λ-calculus; λ-model; Koymans method; continuity of a function</cfKeyw>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>The research is devoted to the construction of nontrivial models for untyped &lambda;-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.</p></cfAbstr>
<cfResPubl_Class>
<cfClassId>eda2d9e9-34c5-11e1-b86c-0800200c9a66</cfClassId>
<cfClassSchemeId>759af938-34ae-11e1-b86c-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfResPubl_Class>
<cfClassId>e601872f-4b7e-4d88-929f-7df027b226c9</cfClassId>
<cfClassSchemeId>40e90e2f-446d-460a-98e5-5dce57550c48</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfPers_ResPubl>
<cfPersId>ibn-person-46104</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
</cfPers_ResPubl>
</cfResPubl>
<cfPers>
<cfPersId>ibn-Pers-46104</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-46104-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2016T24:00:00</cfStartDate>
<cfFamilyNames>Lyaletsky</cfFamilyNames>
<cfFirstNames>Alexandre</cfFirstNames>
</cfPersName_Pers>
</cfPers>
</CERIF>