InforLorV4, Main, Exploration, bibRecord, 001141

Hierarchical Combination of Unification Algorithms

Identifieur interne : 001141 ( Main/Exploration ); précédent : 001140; suivant : 001142

Hierarchical Combination of Unification Algorithms

Auteurs : Serdar Erbatur [Italie] ; Deepak Kapur [États-Unis] ; Andrew Marshall [États-Unis] ; Paliath Narendran [États-Unis] ; Christophe Ringeissen [France]

Source :

RBID : Hal:hal-00920509

Abstract

A critical question in unification theory is how to obtain a unification algorithm for the combination of non-disjoint equational theories when there exists unification algorithms for the constituent theories. The problem is known to be difficult and can easily be seen to be undecidable in the general case. Therefore, previous work has focused on identifying specific conditions and methods in which the problem is decidable. We continue the investigation in this paper, building on previous combination results. We are able to develop a novel approach to the non-disjoint combination problem. The approach is based on a new set of restrictions and combination method such that if the restrictions are satisfied the method produces an algorithm for the unification problem in the union of non-disjoint equational theories.

Url:

https://hal.inria.fr/hal-00920509

Affiliations:

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

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Le document en format XML

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<orgName>Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies</orgName>
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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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<orgName>Centre National de la Recherche Scientifique</orgName>
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<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
<placeName><settlement type="city" wicri:auto="siege">Besançon</settlement>
<region type="region" nuts="2">Franche-Comté</region>
</placeName>
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<placeName><settlement type="city" wicri:auto="siege">Belfort</settlement>
<region type="region" nuts="2">Franche-Comté</region>
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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">A critical question in unification theory is how to obtain a unification algorithm for the combination of non-disjoint equational theories when there exists unification algorithms for the constituent theories. The problem is known to be difficult and can easily be seen to be undecidable in the general case. Therefore, previous work has focused on identifying specific conditions and methods in which the problem is decidable. We continue the investigation in this paper, building on previous combination results. We are able to develop a novel approach to the non-disjoint combination problem. The approach is based on a new set of restrictions and combination method such that if the restrictions are satisfied the method produces an algorithm for the unification problem in the union of non-disjoint equational theories.</div>
</front>
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<li>Italie</li>
<li>États-Unis</li>
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<li>Grand Est</li>
<li>Lorraine (région)</li>
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<settlement><li>Belfort</li>
<li>Besançon</li>
<li>Metz</li>
<li>Nancy</li>
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<orgName><li>Université de Bourgogne Franche-Comté</li>
<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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Hierarchical Combination of Unification Algorithms

Hierarchical Combination of Unification Algorithms

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