On the Adequacy of Per Models
Identifieur interne : 000C39 ( Crin/Curation ); précédent : 000C38; suivant : 000C40On the Adequacy of Per Models
Auteurs : R. M. AmadioSource :
English descriptors
Abstract
In this note we consider a fixed point extension of the second order lambda calculus equipped with a call by value evaluation mechanism. We interpret the language in a partial cartesian closed category of ``directed complet{e}'' partial equivalence relations (pers) over a domain theoretic model of a type-free, call-by-value, lambda calculus. Our main result is that the notions of ``syntactic'' and ``semantic'' convergence coincide.
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>denotational vs.</term>
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<front><div type="abstract" xml:lang="en" wicri:score="1410">In this note we consider a fixed point extension of the second order lambda calculus equipped with a call by value evaluation mechanism. We interpret the language in a partial cartesian closed category of ``directed complet{e}'' partial equivalence relations (pers) over a domain theoretic model of a type-free, call-by-value, lambda calculus. Our main result is that the notions of ``syntactic'' and ``semantic'' convergence coincide.</div>
</front>
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<BibTex type="techreport"><ref>amadio91a</ref>
<crinnumber>91-R-177</crinnumber>
<category>15</category>
<equipe>PROGRAIS</equipe>
<author><e>Amadio, R.M.</e>
</author>
<title>On the Adequacy of Per Models</title>
<institution>Centre de Recherche en Informatique de Nancy</institution>
<year>1991</year>
<type>Rapport interne</type>
<address>Vandoeuvre-lès-Nancy</address>
<keywords><e>second order lambda calculus</e>
<e>per models</e>
<e>denotational vs.</e>
<e>operational semantics</e>
</keywords>
<abstract>In this note we consider a fixed point extension of the second order lambda calculus equipped with a call by value evaluation mechanism. We interpret the language in a partial cartesian closed category of ``directed complet{e}'' partial equivalence relations (pers) over a domain theoretic model of a type-free, call-by-value, lambda calculus. Our main result is that the notions of ``syntactic'' and ``semantic'' convergence coincide.</abstract>
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