Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

The computability path ordering: the end of a quest

Identifieur interne : 003E48 ( Main/Exploration ); précédent : 003E47; suivant : 003E49

The computability path ordering: the end of a quest

Auteurs : Frédéric Blanqui [République populaire de Chine] ; Jean-Pierre Jouannaud [France] ; Albert Rubio [Espagne]

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.

Url:


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">The computability path ordering: the end of a quest</title>
<author>
<name sortKey="Blanqui, Frederic" sort="Blanqui, Frederic" uniqKey="Blanqui F" first="Frédéric" last="Blanqui">Frédéric Blanqui</name>
<affiliation wicri:level="1">
<hal:affiliation type="researchteam" xml:id="struct-85226" status="OLD">
<idno type="RNSR">200921233V</idno>
<orgName>Formal Methods for Embedded Systems</orgName>
<orgName type="acronym">FORMES</orgName>
<desc>
<address>
<addrLine>Tsinghua University FIT Building Haidian District 100084 Beijing China</addrLine>
<country key="CN"></country>
</address>
<ref type="url">http://liama.ia.ac.cn/wiki/projects:formes:home</ref>
</desc>
<listRelation>
<relation active="#struct-25361" type="direct"></relation>
<relation active="#struct-11574" type="indirect"></relation>
<relation active="#struct-92114" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300133" type="indirect"></relation>
<relation active="#struct-300168" type="indirect"></relation>
<relation active="#struct-441569" type="indirect"></relation>
<relation active="#struct-86790" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-25361" type="direct">
<org type="laboratory" xml:id="struct-25361" status="VALID">
<orgName>Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées</orgName>
<orgName type="acronym">LIAMA</orgName>
<desc>
<address>
<addrLine>Institut d'Automatique - Académie des Sciences de Chine PO Box 2728 - Beijing 100080 R. P. Chine Tél. : (+ 86 10) 62 64 74 59 Fax : (+ 86 10) 62 64 74 58</addrLine>
<country key="CN"></country>
</address>
<ref type="url">http://liama.ia.ac.cn/</ref>
</desc>
<listRelation>
<relation active="#struct-11574" type="direct"></relation>
<relation active="#struct-92114" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300133" type="direct"></relation>
<relation active="#struct-300168" type="direct"></relation>
<relation active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-11574" type="indirect">
<org type="institution" xml:id="struct-11574" status="VALID">
<orgName>Centre de Coopération Internationale en Recherche Agronomique pour le Développement</orgName>
<orgName type="acronym">CIRAD</orgName>
<desc>
<address>
<addrLine>42, rue Scheffer 75116 Paris</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.cirad.fr</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-92114" type="indirect">
<org type="institution" xml:id="struct-92114" status="VALID">
<orgName>Institut National de la Recherche Agronomique</orgName>
<orgName type="acronym">INRA</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.inra.fr</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect">
<org type="institution" xml:id="struct-300009" status="VALID">
<orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc>
<address>
<addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300133" type="indirect">
<org type="institution" xml:id="struct-300133" status="VALID">
<orgName>Chinese Academy of Science (CAS)</orgName>
<desc>
<address>
<country key="CN"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300168" type="indirect">
<org type="institution" xml:id="struct-300168" status="VALID">
<orgName>Institute of Automation, Chinese Academy of Sciences</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-441569" type="indirect">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-86790" type="direct">
<org type="laboratory" xml:id="struct-86790" status="VALID">
<idno type="RNSR">196718247G</idno>
<orgName>INRIA Paris-Rocquencourt</orgName>
<desc>
<address>
<addrLine>INRIA Rocquencourt : Domaine de Voluceau, Rocquencourt B.P. 105 78153 le Chesnay Cedex / INRIA Paris - 23 avenue d'Italie 75013 Paris</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/paris-rocquencourt</ref>
</desc>
<listRelation>
<relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>République populaire de Chine</country>
</affiliation>
</author>
<author>
<name sortKey="Jouannaud, Jean Pierre" sort="Jouannaud, Jean Pierre" uniqKey="Jouannaud J" first="Jean-Pierre" last="Jouannaud">Jean-Pierre Jouannaud</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-2071" status="VALID">
<orgName>Laboratoire d'informatique de l'École polytechnique [Palaiseau]</orgName>
<orgName type="acronym">LIX</orgName>
<desc>
<address>
<addrLine>Route de Saclay 91128 PALAISEAU CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lix.polytechnique.fr/</ref>
</desc>
<listRelation>
<relation active="#struct-300340" type="direct"></relation>
<relation name="UMR7161" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-300340" type="direct">
<org type="institution" xml:id="struct-300340" status="VALID">
<orgName>Polytechnique - X</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR7161" active="#struct-441569" type="direct">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author>
<name sortKey="Rubio, Albert" sort="Rubio, Albert" uniqKey="Rubio A" first="Albert" last="Rubio">Albert Rubio</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-74848" status="VALID">
<orgName>Llenguatges i Sistemes Informàtics</orgName>
<orgName type="acronym">LSI</orgName>
<desc>
<address>
<addrLine>Universitat Politécnica de Catalunya FIB / FME C/ Pau Gargallo 5, E-Barcelona 08028</addrLine>
<country key="ES"></country>
</address>
<ref type="url">http://www.lsi.upc.edu/</ref>
</desc>
<listRelation>
<relation active="#struct-85878" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-85878" type="direct">
<org type="institution" xml:id="struct-85878" status="VALID">
<orgName>Universitat Politècnica de Catalunya [Barcelona]</orgName>
<orgName type="acronym">UPC</orgName>
<desc>
<address>
<addrLine>Universitat Politècnica de Catalunya C. Jordi Girona, 31. 08034 Barcelona</addrLine>
<country key="ES"></country>
</address>
<ref type="url">http://www.upc.edu/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Espagne</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:inria-00288209</idno>
<idno type="halId">inria-00288209</idno>
<idno type="halUri">https://hal.inria.fr/inria-00288209</idno>
<idno type="url">https://hal.inria.fr/inria-00288209</idno>
<date when="2008-09-15">2008-09-15</date>
<idno type="wicri:Area/Hal/Corpus">004C33</idno>
<idno type="wicri:Area/Hal/Curation">004C33</idno>
<idno type="wicri:Area/Hal/Checkpoint">003161</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">003161</idno>
<idno type="wicri:Area/Main/Merge">003F77</idno>
<idno type="wicri:Area/Main/Curation">003E48</idno>
<idno type="wicri:Area/Main/Exploration">003E48</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">The computability path ordering: the end of a quest</title>
<author>
<name sortKey="Blanqui, Frederic" sort="Blanqui, Frederic" uniqKey="Blanqui F" first="Frédéric" last="Blanqui">Frédéric Blanqui</name>
<affiliation wicri:level="1">
<hal:affiliation type="researchteam" xml:id="struct-85226" status="OLD">
<idno type="RNSR">200921233V</idno>
<orgName>Formal Methods for Embedded Systems</orgName>
<orgName type="acronym">FORMES</orgName>
<desc>
<address>
<addrLine>Tsinghua University FIT Building Haidian District 100084 Beijing China</addrLine>
<country key="CN"></country>
</address>
<ref type="url">http://liama.ia.ac.cn/wiki/projects:formes:home</ref>
</desc>
<listRelation>
<relation active="#struct-25361" type="direct"></relation>
<relation active="#struct-11574" type="indirect"></relation>
<relation active="#struct-92114" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-300133" type="indirect"></relation>
<relation active="#struct-300168" type="indirect"></relation>
<relation active="#struct-441569" type="indirect"></relation>
<relation active="#struct-86790" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-25361" type="direct">
<org type="laboratory" xml:id="struct-25361" status="VALID">
<orgName>Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées</orgName>
<orgName type="acronym">LIAMA</orgName>
<desc>
<address>
<addrLine>Institut d'Automatique - Académie des Sciences de Chine PO Box 2728 - Beijing 100080 R. P. Chine Tél. : (+ 86 10) 62 64 74 59 Fax : (+ 86 10) 62 64 74 58</addrLine>
<country key="CN"></country>
</address>
<ref type="url">http://liama.ia.ac.cn/</ref>
</desc>
<listRelation>
<relation active="#struct-11574" type="direct"></relation>
<relation active="#struct-92114" type="direct"></relation>
<relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-300133" type="direct"></relation>
<relation active="#struct-300168" type="direct"></relation>
<relation active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-11574" type="indirect">
<org type="institution" xml:id="struct-11574" status="VALID">
<orgName>Centre de Coopération Internationale en Recherche Agronomique pour le Développement</orgName>
<orgName type="acronym">CIRAD</orgName>
<desc>
<address>
<addrLine>42, rue Scheffer 75116 Paris</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.cirad.fr</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-92114" type="indirect">
<org type="institution" xml:id="struct-92114" status="VALID">
<orgName>Institut National de la Recherche Agronomique</orgName>
<orgName type="acronym">INRA</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.inra.fr</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect">
<org type="institution" xml:id="struct-300009" status="VALID">
<orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc>
<address>
<addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300133" type="indirect">
<org type="institution" xml:id="struct-300133" status="VALID">
<orgName>Chinese Academy of Science (CAS)</orgName>
<desc>
<address>
<country key="CN"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300168" type="indirect">
<org type="institution" xml:id="struct-300168" status="VALID">
<orgName>Institute of Automation, Chinese Academy of Sciences</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-441569" type="indirect">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-86790" type="direct">
<org type="laboratory" xml:id="struct-86790" status="VALID">
<idno type="RNSR">196718247G</idno>
<orgName>INRIA Paris-Rocquencourt</orgName>
<desc>
<address>
<addrLine>INRIA Rocquencourt : Domaine de Voluceau, Rocquencourt B.P. 105 78153 le Chesnay Cedex / INRIA Paris - 23 avenue d'Italie 75013 Paris</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre/paris-rocquencourt</ref>
</desc>
<listRelation>
<relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>République populaire de Chine</country>
</affiliation>
</author>
<author>
<name sortKey="Jouannaud, Jean Pierre" sort="Jouannaud, Jean Pierre" uniqKey="Jouannaud J" first="Jean-Pierre" last="Jouannaud">Jean-Pierre Jouannaud</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-2071" status="VALID">
<orgName>Laboratoire d'informatique de l'École polytechnique [Palaiseau]</orgName>
<orgName type="acronym">LIX</orgName>
<desc>
<address>
<addrLine>Route de Saclay 91128 PALAISEAU CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lix.polytechnique.fr/</ref>
</desc>
<listRelation>
<relation active="#struct-300340" type="direct"></relation>
<relation name="UMR7161" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-300340" type="direct">
<org type="institution" xml:id="struct-300340" status="VALID">
<orgName>Polytechnique - X</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR7161" active="#struct-441569" type="direct">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author>
<name sortKey="Rubio, Albert" sort="Rubio, Albert" uniqKey="Rubio A" first="Albert" last="Rubio">Albert Rubio</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-74848" status="VALID">
<orgName>Llenguatges i Sistemes Informàtics</orgName>
<orgName type="acronym">LSI</orgName>
<desc>
<address>
<addrLine>Universitat Politécnica de Catalunya FIB / FME C/ Pau Gargallo 5, E-Barcelona 08028</addrLine>
<country key="ES"></country>
</address>
<ref type="url">http://www.lsi.upc.edu/</ref>
</desc>
<listRelation>
<relation active="#struct-85878" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-85878" type="direct">
<org type="institution" xml:id="struct-85878" status="VALID">
<orgName>Universitat Politècnica de Catalunya [Barcelona]</orgName>
<orgName type="acronym">UPC</orgName>
<desc>
<address>
<addrLine>Universitat Politècnica de Catalunya C. Jordi Girona, 31. 08034 Barcelona</addrLine>
<country key="ES"></country>
</address>
<ref type="url">http://www.upc.edu/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Espagne</country>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="en">
<term>lambda-calculus</term>
<term>rewriting</term>
<term>term ordering</term>
<term>termination</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="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.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Espagne</li>
<li>France</li>
<li>République populaire de Chine</li>
</country>
</list>
<tree>
<country name="République populaire de Chine">
<noRegion>
<name sortKey="Blanqui, Frederic" sort="Blanqui, Frederic" uniqKey="Blanqui F" first="Frédéric" last="Blanqui">Frédéric Blanqui</name>
</noRegion>
</country>
<country name="France">
<noRegion>
<name sortKey="Jouannaud, Jean Pierre" sort="Jouannaud, Jean Pierre" uniqKey="Jouannaud J" first="Jean-Pierre" last="Jouannaud">Jean-Pierre Jouannaud</name>
</noRegion>
</country>
<country name="Espagne">
<noRegion>
<name sortKey="Rubio, Albert" sort="Rubio, Albert" uniqKey="Rubio A" first="Albert" last="Rubio">Albert Rubio</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003E48 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 003E48 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     Hal:inria-00288209
   |texte=   The computability path ordering: the end of a quest
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022