InforLorV4, Main, Exploration, bibRecord, 004522

Strategic Computation and Deduction

Identifieur interne : 004522 ( Main/Exploration ); précédent : 004521; suivant : 004523

Strategic Computation and Deduction

Auteurs : Claude Kirchner [France] ; Florent Kirchner [France] ; Helene Kirchner [France]

Source :

RBID : Hal:inria-00433745

English descriptors

mix :
- computation, deduction, logic, strategy.

Abstract

We introduce the notion of abstract strategies for abstract reduction systems. Adequate properties of termination, confluence and normalization under strategy can then be defined. Thanks to this abstract concept, we draw a parallel between strategies for computation and strategies for deduction. We define deduction rules as rewrite rules, a deduction step as a rewriting step and a proof construction step as a narrowing step in an adequate abstract reduction system. Computation, deduction and proof search are thus captured in the uniform foundational concept of abstract reduction system in which abstract strategies have a clear formalisation.

Url:

https://hal.inria.fr/inria-00433745

Affiliations:

France

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

to stream Hal, to step Corpus: 004833
to stream Hal, to step Curation: 004833
to stream Hal, to step Checkpoint: 003541
to stream Main, to step Merge: 004647
to stream Main, to step Curation: 004522

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Strategic Computation and Deduction</title>
<author><name sortKey="Kirchner, Claude" sort="Kirchner, Claude" uniqKey="Kirchner C" first="Claude" last="Kirchner">Claude Kirchner</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-104751" status="VALID"><idno type="RNSR">200818243Z</idno>
<orgName>INRIA Bordeaux - Sud-Ouest</orgName>
<desc><address><addrLine>200, avenue de la Vieille Tour, 33405 Talence</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/bordeaux/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-300009" type="direct"><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>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Kirchner, Florent" sort="Kirchner, Florent" uniqKey="Kirchner F" first="Florent" last="Kirchner">Florent Kirchner</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="Kirchner, Helene" sort="Kirchner, Helene" uniqKey="Kirchner H" first="Helene" last="Kirchner">Helene Kirchner</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-104751" status="VALID"><idno type="RNSR">200818243Z</idno>
<orgName>INRIA Bordeaux - Sud-Ouest</orgName>
<desc><address><addrLine>200, avenue de la Vieille Tour, 33405 Talence</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/bordeaux/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-300009" type="direct"><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>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:inria-00433745</idno>
<idno type="halId">inria-00433745</idno>
<idno type="halUri">https://hal.inria.fr/inria-00433745</idno>
<idno type="url">https://hal.inria.fr/inria-00433745</idno>
<date when="2008">2008</date>
<idno type="wicri:Area/Hal/Corpus">004833</idno>
<idno type="wicri:Area/Hal/Curation">004833</idno>
<idno type="wicri:Area/Hal/Checkpoint">003541</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">003541</idno>
<idno type="wicri:Area/Main/Merge">004647</idno>
<idno type="wicri:Area/Main/Curation">004522</idno>
<idno type="wicri:Area/Main/Exploration">004522</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Strategic Computation and Deduction</title>
<author><name sortKey="Kirchner, Claude" sort="Kirchner, Claude" uniqKey="Kirchner C" first="Claude" last="Kirchner">Claude Kirchner</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-104751" status="VALID"><idno type="RNSR">200818243Z</idno>
<orgName>INRIA Bordeaux - Sud-Ouest</orgName>
<desc><address><addrLine>200, avenue de la Vieille Tour, 33405 Talence</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/bordeaux/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-300009" type="direct"><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>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Kirchner, Florent" sort="Kirchner, Florent" uniqKey="Kirchner F" first="Florent" last="Kirchner">Florent Kirchner</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="Kirchner, Helene" sort="Kirchner, Helene" uniqKey="Kirchner H" first="Helene" last="Kirchner">Helene Kirchner</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-104751" status="VALID"><idno type="RNSR">200818243Z</idno>
<orgName>INRIA Bordeaux - Sud-Ouest</orgName>
<desc><address><addrLine>200, avenue de la Vieille Tour, 33405 Talence</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/bordeaux/</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-300009" type="direct"><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>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>computation</term>
<term>deduction</term>
<term>logic</term>
<term>strategy</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">We introduce the notion of abstract strategies for abstract reduction systems. Adequate properties of termination, confluence and normalization under strategy can then be defined. Thanks to this abstract concept, we draw a parallel between strategies for computation and strategies for deduction. We define deduction rules as rewrite rules, a deduction step as a rewriting step and a proof construction step as a narrowing step in an adequate abstract reduction system. Computation, deduction and proof search are thus captured in the uniform foundational concept of abstract reduction system in which abstract strategies have a clear formalisation.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
</country>
</list>
<tree><country name="France"><noRegion><name sortKey="Kirchner, Claude" sort="Kirchner, Claude" uniqKey="Kirchner C" first="Claude" last="Kirchner">Claude Kirchner</name>
</noRegion>
<name sortKey="Kirchner, Florent" sort="Kirchner, Florent" uniqKey="Kirchner F" first="Florent" last="Kirchner">Florent Kirchner</name>
<name sortKey="Kirchner, Helene" sort="Kirchner, Helene" uniqKey="Kirchner H" first="Helene" last="Kirchner">Helene Kirchner</name>
</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 004522 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 004522 | 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-00433745
   |texte=   Strategic Computation and Deduction
}}

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

	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.

Serveur d'exploration sur la recherche en informatique en Lorraine

Strategic Computation and Deduction

Strategic Computation and Deduction

Source :

English descriptors

Abstract

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

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri