Tree automata with equality constraints modulo equational theories
Identifieur interne : 003F65 ( Hal/Checkpoint ); précédent : 003F64; suivant : 003F66Tree automata with equality constraints modulo equational theories
Auteurs : Florent Jacquemard [France] ; Michael Rusinowitch [France] ; Laurent Vigneron [France]Source :
Abstract
This paper presents new classes of tree automata combining automata with equality test and automata modulo equational theories. We believe that this class has 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 paramodu- lation strategies terminates. Alternatively our results can be viewed as new decidable classes of first-order formula.
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DOI: 10.1007/11814771_45
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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 this class has 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 paramodu- lation strategies terminates. Alternatively our results can be viewed as new decidable classes of first-order formula.</div>
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<hal api="V3"><titleStmt><title xml:lang="en">Tree automata with equality constraints modulo equational theories</title>
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<idno type="halRefHtml">Ulrich Furbach and Natarajan Shankar. 3d International Joint Conference on Automated Reasoning (IJCAR), Aug 2006, Seattle, United States. Springer, 4130, pp.557-571, 2006, Lecture Notes in Computer Science; 3d International Joint Conference on Automated Reasoning (IJCAR). <http://www.springerlink.com/content/j354023699610786/>. <10.1007/11814771_45></idno>
<idno type="halRef">Ulrich Furbach and Natarajan Shankar. 3d International Joint Conference on Automated Reasoning (IJCAR), Aug 2006, Seattle, United States. Springer, 4130, pp.557-571, 2006, Lecture Notes in Computer Science; 3d International Joint Conference on Automated Reasoning (IJCAR). <http://www.springerlink.com/content/j354023699610786/>. <10.1007/11814771_45></idno>
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<idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
<idno type="stamp" n="UNIV-FCOMTE">Université de Franche-Comté</idno>
<idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno>
<idno type="stamp" n="INRIA-SACLAY">INRIA Saclay - Ile de France</idno>
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<idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
<idno type="stamp" n="UNIV-BM">Université de Technologie de Belfort-Montbeliard</idno>
<idno type="stamp" n="ENSMM">Ecole Nationale Supérieure de Mécanique et des Microtechniques</idno>
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<sourceDesc><biblStruct><analytic><title xml:lang="en">Tree automata with equality constraints modulo equational theories</title>
<author role="aut"><persName><forename type="first">Florent</forename>
<surname>Jacquemard</surname>
</persName>
<email>florent.jacquemard@inria.fr</email>
<idno type="idHal">florentjacquemard</idno>
<idno type="halAuthorId">424267</idno>
<affiliation ref="#struct-56043"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Michael</forename>
<surname>Rusinowitch</surname>
</persName>
<email>Michael.Rusinowitch@loria.fr</email>
<idno type="idHal">michael-rusinowitch</idno>
<idno type="halAuthorId">361445</idno>
<affiliation ref="#struct-2366"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Laurent</forename>
<surname>Vigneron</surname>
</persName>
<email>vigneron@loria.fr</email>
<idno type="idHal">laurent-vigneron</idno>
<idno type="halAuthorId">61785</idno>
<idno type="IdRef">http://www.idref.fr/137591489</idno>
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</author>
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<monogr><meeting><title>3d International Joint Conference on Automated Reasoning (IJCAR)</title>
<date type="start">2006-08-17</date>
<date type="end">2006-08-20</date>
<settlement>Seattle</settlement>
<country key="US">United States</country>
</meeting>
<editor>Ulrich Furbach and Natarajan Shankar</editor>
<imprint><publisher>Springer</publisher>
<biblScope unit="serie"></biblScope>
<biblScope unit="volume">4130</biblScope>
<biblScope unit="pp">557-571</biblScope>
<date type="datePub">2006</date>
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</monogr>
<idno type="doi">10.1007/11814771_45</idno>
<ref type="publisher">http://www.springerlink.com/content/j354023699610786/</ref>
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<profileDesc><langUsage><language ident="en">English</language>
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<textClass><classCode scheme="halDomain" n="info.info-lo">Computer Science [cs]/Logic in Computer Science [cs.LO]</classCode>
<classCode scheme="halTypology" n="COMM">Conference papers</classCode>
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<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 this class has 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 paramodu- lation strategies terminates. Alternatively our results can be viewed as new decidable classes of first-order formula.</abstract>
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