Abstract canonical presentations
Identifieur interne : 005623 ( Main/Exploration ); précédent : 005622; suivant : 005624Abstract canonical presentations
Auteurs : Nachum Dershowitz [Israël] ; Claude Kirchner [France]Source :
- Theoretical computer science [ 0304-3975 ] ; 2006.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
Solving goals-like proving properties, deciding word problems or resolving constraints-is much easier with some presentations of the underlying theory than with others. Typically, what have been called "completion processes", in particular in the study of equational logic, involve finding appropriate presentations of a given theory to more easily solve a given class of problems. We provide a general proof-theoretic setting that relies directly on the fundamental concept of "good", that is, normal-form, proofs, itself defined using well-founded orderings on proof objects. This foundational framework allows for abstract definitions of canonical presentations and very general characterizations of saturation and redundancy criteria.
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Le document en format XML
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Box 39040, RamatAviv</s1><s2>Tel Aviv 69978</s2><s3>ISR</s3><sZ>1 aut.</sZ></inist:fA14><country>Israël</country><wicri:noRegion>Tel Aviv 69978</wicri:noRegion></affiliation></author><author><name sortKey="Kirchner, Claude" sort="Kirchner, Claude" uniqKey="Kirchner C" first="Claude" last="Kirchner">Claude Kirchner</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>JNRJA & LORIA, 615, rue du Jardin Botanique, B.P 101</s1><s2>54602 WIers-les-Nancy</s2><s3>FRA</s3><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region><settlement type="city">WIers-les-Nancy</settlement></placeName></affiliation></author></analytic><series><title level="j" type="main">Theoretical computer science</title><title level="j" type="abbreviated">Theor. comput. sci.</title><idno type="ISSN">0304-3975</idno><imprint><date when="2006">2006</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Theoretical computer science</title><title level="j" type="abbreviated">Theor. comput. sci.</title><idno type="ISSN">0304-3975</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Canonical rewriting</term><term>Canonicity</term><term>Completion</term><term>Computer theory</term><term>Equational logic</term><term>Normal form</term><term>Proof ordering</term><term>Redundancy</term><term>Rewriting</term><term>Saturation</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Complétion</term><term>Forme normale</term><term>Saturation</term><term>Redondance</term><term>Réécriture</term><term>Informatique théorique</term><term>Problème mot</term><term>Logique équationnelle</term><term>Réécriture canonique</term><term>Canonicité</term><term>Relation ordre preuve</term></keywords><keywords scheme="mix" xml:lang="it"><term>abstract canonical presentation</term><term>completion</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Solving goals-like proving properties, deciding word problems or resolving constraints-is much easier with some presentations of the underlying theory than with others. Typically, what have been called "completion processes", in particular in the study of equational logic, involve finding appropriate presentations of a given theory to more easily solve a given class of problems. We provide a general proof-theoretic setting that relies directly on the fundamental concept of "good", that is, normal-form, proofs, itself defined using well-founded orderings on proof objects. This foundational framework allows for abstract definitions of canonical presentations and very general characterizations of saturation and redundancy criteria.</div></front></TEI><affiliations><list><country><li>France</li><li>Israël</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>WIers-les-Nancy</li></settlement></list><tree><country name="Israël"><noRegion><name sortKey="Dershowitz, Nachum" sort="Dershowitz, Nachum" uniqKey="Dershowitz N" first="Nachum" last="Dershowitz">Nachum Dershowitz</name></noRegion></country><country name="France"><region name="Grand Est"><name sortKey="Kirchner, Claude" sort="Kirchner, Claude" uniqKey="Kirchner C" first="Claude" last="Kirchner">Claude Kirchner</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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