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The computability path ordering: the end of a quest

Identifieur interne : 004C33 ( Hal/Corpus ); précédent : 004C32; suivant : 004C34

The computability path ordering: the end of a quest

Auteurs : Frédéric Blanqui ; Jean-Pierre Jouannaud ; Albert Rubio

Source :

RBID : Hal:inria-00288209

English descriptors

Abstract

In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for which we provide an improved definition, the Computability Path Ordering. This new definition appears indeed to capture the essence of computability arguments à la Tait and Girard, therefore explaining the name of the improved ordering.

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Hal:inria-00288209

Le document en format XML

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<title xml:lang="en">The computability path ordering: the end of a quest</title>
<author role="aut">
<persName>
<forename type="first">Frédéric</forename>
<surname>Blanqui</surname>
</persName>
<email>blanqui@loria.fr</email>
<idno type="halAuthorId">303337</idno>
<affiliation ref="#struct-85226"></affiliation>
<affiliation ref="#struct-54175"></affiliation>
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<author role="aut">
<persName>
<forename type="first">Jean-Pierre</forename>
<surname>Jouannaud</surname>
</persName>
<email>jouannaud@lix.polytechnique.fr</email>
<idno type="halAuthorId">120659</idno>
<orgName ref="#struct-300340"></orgName>
<affiliation ref="#struct-2071"></affiliation>
<affiliation ref="#struct-55047"></affiliation>
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<author role="aut">
<persName>
<forename type="first">Albert</forename>
<surname>Rubio</surname>
</persName>
<email>rubio@lsi.upc.edu</email>
<idno type="halAuthorId">120660</idno>
<orgName ref="#struct-85878"></orgName>
<affiliation ref="#struct-74848"></affiliation>
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<meeting>
<title>7th EACSL Annual Conference on Computer Science Logic - CSL'08</title>
<date type="start">2008-09-15</date>
<settlement>Bertinoro</settlement>
<country key="IT">Italy</country>
</meeting>
<imprint>
<biblScope unit="serie">LNCS</biblScope>
<biblScope unit="volume">5213</biblScope>
<date type="datePub">2008</date>
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<idno type="arxiv">0806.2517</idno>
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<language ident="en">English</language>
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<keywords scheme="author">
<term xml:lang="en">termination</term>
<term xml:lang="en">rewriting</term>
<term xml:lang="en">term ordering</term>
<term xml:lang="en">lambda-calculus</term>
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<abstract xml:lang="en">In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for which we provide an improved definition, the Computability Path Ordering. This new definition appears indeed to capture the essence of computability arguments à la Tait and Girard, therefore explaining the name of the improved ordering.</abstract>
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