Tree Automata with Equality Constraints Modulo Equational Theories
Identifieur interne : 001881 ( Istex/Curation ); précédent : 001880; suivant : 001882Tree Automata with Equality Constraints Modulo Equational Theories
Auteurs : Florent Jacquemard [France] ; Michael Rusinowitch [France] ; Laurent Vigneron [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
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: 10.1007/11814771_45
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Tree Automata with Equality Constraints Modulo Equational Theories</title><author><name sortKey="Jacquemard, Florent" sort="Jacquemard, Florent" uniqKey="Jacquemard F" first="Florent" last="Jacquemard">Florent Jacquemard</name><affiliation><mods:affiliation>INRIA Futurs & LSV, UMR 8643, </mods:affiliation><wicri:noCountry code="subField"> </wicri:noCountry></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: florent.jacquemard@inria.fr</mods:affiliation><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Rusinowitch, Michael" sort="Rusinowitch, Michael" uniqKey="Rusinowitch M" first="Michael" last="Rusinowitch">Michael Rusinowitch</name><affiliation><mods:affiliation>LORIA & INRIA Lorraine, UMR 7503, </mods:affiliation><wicri:noCountry code="subField"> </wicri:noCountry></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: rusi@loria.fr</mods:affiliation><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Vigneron, Laurent" sort="Vigneron, Laurent" uniqKey="Vigneron L" first="Laurent" last="Vigneron">Laurent Vigneron</name><affiliation><mods:affiliation>LORIA & Univ. Nancy 2, UMR 7503, </mods:affiliation><wicri:noCountry code="subField"> </wicri:noCountry></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: vigneron@loria.fr</mods:affiliation><country wicri:rule="url">France</country></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:6B5D7A874A050E8BCB345D15C19CDBF128CDD14F</idno><date when="2006" year="2006">2006</date><idno type="doi">10.1007/11814771_45</idno><idno type="url">https://api.istex.fr/ark:/67375/HCB-S63RQ5TQ-K/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">001900</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001900</idno><idno type="wicri:Area/Istex/Curation">001881</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Tree Automata with Equality Constraints Modulo Equational Theories</title><author><name sortKey="Jacquemard, Florent" sort="Jacquemard, Florent" uniqKey="Jacquemard F" first="Florent" last="Jacquemard">Florent Jacquemard</name><affiliation><mods:affiliation>INRIA Futurs & LSV, UMR 8643, </mods:affiliation></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: florent.jacquemard@inria.fr</mods:affiliation><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Rusinowitch, Michael" sort="Rusinowitch, Michael" uniqKey="Rusinowitch M" first="Michael" last="Rusinowitch">Michael Rusinowitch</name><affiliation><mods:affiliation>LORIA & INRIA Lorraine, UMR 7503, </mods:affiliation></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: rusi@loria.fr</mods:affiliation><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Vigneron, Laurent" sort="Vigneron, Laurent" uniqKey="Vigneron L" first="Laurent" last="Vigneron">Laurent Vigneron</name><affiliation><mods:affiliation>LORIA & Univ. Nancy 2, UMR 7503, </mods:affiliation></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: vigneron@loria.fr</mods:affiliation><country wicri:rule="url">France</country></affiliation></author></analytic><monogr></monogr><series><title level="s" type="main" xml:lang="en">Lecture Notes in Computer Science</title><idno type="ISSN">0302-9743</idno><idno type="eISSN">1611-3349</idno><idno type="ISSN">0302-9743</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">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.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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