Tree automata with equality constraints modulo equational theories
Identifieur interne : 004144 ( Main/Exploration ); précédent : 004143; suivant : 004145Tree automata with equality constraints modulo equational theories
Auteurs : Florent Jacquemard [France] ; Michael Rusinowitch [France] ; Laurent Vigneron [France]Source :
- Journal of Logic and Algebraic Programming [ 1567-8326 ] ; 2008.
English descriptors
- mix :
Abstract
This paper presents new classes of tree automata combining automata with equality test and automata modulo equational theories. We believe that these classes have a good potential for application in e.g. software verification. These tree automata are obtained by extending the standard Horn clause representations with equational conditions and rewrite systems. We show in particular that a generalized membership problem (extending the emptiness problem) is decidable by proving that the saturation of tree automata presentations with suitable paramodulation strategies terminates. Alternatively our results can be viewed as new decidable classes of first-order formula.
Url:
DOI: 10.1016/j.jlap.2007.10.006
Affiliations:
- France
- Franche-Comté, Grand Est, Lorraine (région)
- Belfort, Besançon, Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, 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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<idno type="DOI">10.1016/j.jlap.2007.10.006</idno>
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<front><div type="abstract" xml:lang="en">This paper presents new classes of tree automata combining automata with equality test and automata modulo equational theories. We believe that these classes have a good potential for application in e.g. software verification. These tree automata are obtained by extending the standard Horn clause representations with equational conditions and rewrite systems. We show in particular that a generalized membership problem (extending the emptiness problem) is decidable by proving that the saturation of tree automata presentations with suitable paramodulation strategies terminates. Alternatively our results can be viewed as new decidable classes of first-order formula.</div>
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