Unification and Matching in Hierarchical Combinations of Syntactic Theories
Identifieur interne : 000316 ( Main/Exploration ); précédent : 000315; suivant : 000317Unification and Matching in Hierarchical Combinations of Syntactic Theories
Auteurs : Serdar Erbatur [Allemagne] ; Deepak Kapur [États-Unis] ; Andrew Marshall [États-Unis] ; Paliath Narendran [États-Unis] ; Christophe Ringeissen [France]Source :
Abstract
We investigate a hierarchical combination approach to the unification problem in non-disjoint unions of equational theories. In this approach, the idea is to extend a base theory with some additional axioms given by rewrite rules in such way that the unification algorithm known for the base theory can be reused without loss of completeness. Additional techniques are required to solve a combined problem by reducing it to a problem in the base theory. In this paper we show that the hierarchical combination approach applies successfully to some classes of syntactic theories, such as shallow theories since the required unification algorithms needed for the combination algorithm can always be obtained. We also consider the matching problem in syntactic extensions of a base theory. Due to the more restricted nature of the matching problem, we obtain several improvements over the unification problem.
Url:
DOI: 10.1007/978-3-319-24246-0_18
Affiliations:
- Allemagne, France, États-Unis
- Franche-Comté, Grand Est, Lorraine (région)
- Belfort, Besançon, Metz, Nancy
- Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de Lorraine, Université de technologie de Belfort-Montbéliard
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Le document en format XML
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<orgName>Université de Franche-Comté</orgName>
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<ref type="url">http://www.univ-fcomte.fr</ref>
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<tutelle active="#struct-300261" type="indirect"><org type="institution" xml:id="struct-300261" status="VALID"><orgName>Université de Technologie de Belfort-Montbeliard</orgName>
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<country>France</country>
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<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
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<orgName type="university">Université de Lorraine</orgName>
<placeName><settlement type="city" wicri:auto="siege">Besançon</settlement>
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<orgName type="university">Université de Franche-Comté</orgName>
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<placeName><settlement type="city" wicri:auto="siege">Belfort</settlement>
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<orgName type="university">Université de technologie de Belfort-Montbéliard</orgName>
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<front><div type="abstract" xml:lang="en">We investigate a hierarchical combination approach to the unification problem in non-disjoint unions of equational theories. In this approach, the idea is to extend a base theory with some additional axioms given by rewrite rules in such way that the unification algorithm known for the base theory can be reused without loss of completeness. Additional techniques are required to solve a combined problem by reducing it to a problem in the base theory. In this paper we show that the hierarchical combination approach applies successfully to some classes of syntactic theories, such as shallow theories since the required unification algorithms needed for the combination algorithm can always be obtained. We also consider the matching problem in syntactic extensions of a base theory. Due to the more restricted nature of the matching problem, we obtain several improvements over the unification problem.</div>
</front>
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<li>France</li>
<li>États-Unis</li>
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<region><li>Franche-Comté</li>
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<li>Lorraine (région)</li>
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<li>Metz</li>
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<li>Université de Franche-Comté</li>
<li>Université de Lorraine</li>
<li>Université de technologie de Belfort-Montbéliard</li>
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<country name="États-Unis"><noRegion><name sortKey="Kapur, Deepak" sort="Kapur, Deepak" uniqKey="Kapur D" first="Deepak" last="Kapur">Deepak Kapur</name>
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<name sortKey="Marshall, Andrew" sort="Marshall, Andrew" uniqKey="Marshall A" first="Andrew" last="Marshall">Andrew Marshall</name>
<name sortKey="Narendran, Paliath" sort="Narendran, Paliath" uniqKey="Narendran P" first="Paliath" last="Narendran">Paliath Narendran</name>
</country>
<country name="France"><region name="Grand Est"><name sortKey="Ringeissen, Christophe" sort="Ringeissen, Christophe" uniqKey="Ringeissen C" first="Christophe" last="Ringeissen">Christophe Ringeissen</name>
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