Nelson-oppen, shostak and the extended canonizer : A family picture with a newborn
Identifieur interne : 006612 ( Main/Merge ); précédent : 006611; suivant : 006613Nelson-oppen, shostak and the extended canonizer : A family picture with a newborn
Auteurs : Silvio Ranise [France] ; Christophe Ringeissen [France] ; Duc-Khanh Tran [France]Source :
- Lecture notes in computer science [ 0302-9743 ] ; 2005.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
We consider the problem of building satisfiability procedures for unions of disjoint theories. We briefly review the combination schemas proposed by Nelson-Oppen, Shostak, and others. Three inference systems are directly derived from the properties satisfied by the theories being combined and known results from the literature are obtained in a uniform and abstract way. This rational reconstruction is the starting point for further investigations. We introduce the concept of extended canonizer and derive a modularity result for a new class of theories (larger than Shostak and smaller than Nelson-Oppen theories) which is closed under disjoint union. This is in contrast with the lack of modularity of Shostak theories. We also explain how to implement extended canonizers by using the basic building blocks used in Shostak schema or by means of rewriting techniques.
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Pascal:05-0360398Le document en format XML
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INRIA, 615, rue du Jardin Botanique, BP 101</s1><s2>54602 Villers-lès-Nancy</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 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">Villers-lès-Nancy</settlement></placeName></affiliation></author></analytic><series><title level="j" type="main">Lecture notes in computer science</title><idno type="ISSN">0302-9743</idno><imprint><date when="2005">2005</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Lecture notes in computer science</title><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Inference</term><term>Modularity</term><term>Rewriting</term><term>Satisfiability problem</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Inférence</term><term>Réécriture</term><term>Problème satisfiabilité</term><term>Modularité</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We consider the problem of building satisfiability procedures for unions of disjoint theories. 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We also explain how to implement extended canonizers by using the basic building blocks used in Shostak schema or by means of rewriting techniques.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Villers-lès-Nancy</li></settlement></list><tree><country name="France"><region name="Grand Est"><name sortKey="Ranise, Silvio" sort="Ranise, Silvio" uniqKey="Ranise S" first="Silvio" last="Ranise">Silvio Ranise</name></region><name sortKey="Ringeissen, Christophe" sort="Ringeissen, Christophe" uniqKey="Ringeissen C" first="Christophe" last="Ringeissen">Christophe Ringeissen</name><name sortKey="Tran, Duc Khanh" sort="Tran, Duc Khanh" uniqKey="Tran D" first="Duc-Khanh" last="Tran">Duc-Khanh Tran</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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