Handling Left-Quadratic Rules When Completing Tree Automata
Identifieur interne : 003E65 ( Main/Exploration ); précédent : 003E64; suivant : 003E66Handling Left-Quadratic Rules When Completing Tree Automata
Auteurs : Yohan Boichut [France] ; Roméo Courbis [France] ; Pierre-Cyrille Héam [France] ; Olga Kouchnarenko [France]Source :
Abstract
This paper addresses the following general problem of tree regular model-checking: decide whether the intersection of R*(L) and Lp is empty, where R* is the reflexive and transitive closure of a successor relation induced by a term rewriting system R, and L and Lp are both regular tree languages. We develop an automatic approximation-based technique to handle this -- undecidable in general -- problem in the case when term rewriting system rules are left-quadratic. The most common practical case is handled this way.
Url:
DOI: 10.1016/j.entcs.2008.12.031
Affiliations:
- France
- Centre-Val de Loire, Franche-Comté, Région Centre
- Belfort, Besançon, Orléans
- Centre Val de Loire Université, Université d'Orléans, Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de technologie de Belfort-Montbéliard
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Le document en format XML
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Sciences et Technologies</orgName><orgName type="acronym">FEMTO-ST</orgName><desc><address><addrLine>32 avenue de l'Observatoire 25044 BESANCON CEDEX</addrLine><country key="FR"></country></address><ref type="url">http://www.femto-st.fr</ref></desc><listRelation><relation active="#struct-242365" type="direct"></relation><relation active="#struct-300261" type="direct"></relation><relation active="#struct-300360" type="direct"></relation><relation name="UMR6174" active="#struct-441569" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-242365" type="direct"><org type="institution" xml:id="struct-242365" status="VALID"><idno type="IdRef">026403188</idno><idno type="ISNI">0000 0001 2188 3779 </idno><orgName>Université de Franche-Comté</orgName><orgName type="acronym">UFC</orgName><desc><address><country key="FR"></country></address><ref type="url">http://www.univ-fcomte.fr</ref></desc></org></tutelle><tutelle active="#struct-300261" type="direct"><org type="institution" xml:id="struct-300261" status="VALID"><orgName>Université de Technologie de Belfort-Montbeliard</orgName><orgName type="acronym">UTBM</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle active="#struct-300360" type="direct"><org type="institution" xml:id="struct-300360" status="VALID"><orgName>Ecole Nationale Supérieure de Mécanique et des Microtechniques</orgName><orgName type="acronym">ENSMM</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle name="UMR6174" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city" wicri:auto="siege">Besançon</settlement><region type="region" nuts="2">Franche-Comté</region></placeName><orgName type="university">Université de Franche-Comté</orgName><orgName type="institution" wicri:auto="newGroup">Université de Bourgogne Franche-Comté</orgName><placeName><settlement type="city" wicri:auto="siege">Belfort</settlement><region type="region" nuts="2">Franche-Comté</region></placeName><orgName type="university">Université de technologie de Belfort-Montbéliard</orgName></affiliation></author></analytic><idno type="DOI">10.1016/j.entcs.2008.12.031</idno></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This paper addresses the following general problem of tree regular model-checking: decide whether the intersection of R*(L) and Lp is empty, where R* is the reflexive and transitive closure of a successor relation induced by a term rewriting system R, and L and Lp are both regular tree languages. We develop an automatic approximation-based technique to handle this -- undecidable in general -- problem in the case when term rewriting system rules are left-quadratic. The most common practical case is handled this way.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Centre-Val de Loire</li><li>Franche-Comté</li><li>Région Centre</li></region><settlement><li>Belfort</li><li>Besançon</li><li>Orléans</li></settlement><orgName><li>Centre Val de Loire Université</li><li>Université d'Orléans</li><li>Université de Bourgogne Franche-Comté</li><li>Université de Franche-Comté</li><li>Université de technologie de Belfort-Montbéliard</li></orgName></list><tree><country name="France"><region name="Région Centre"><name sortKey="Boichut, Yohan" sort="Boichut, Yohan" uniqKey="Boichut Y" first="Yohan" last="Boichut">Yohan Boichut</name></region><name sortKey="Courbis, Romeo" sort="Courbis, Romeo" uniqKey="Courbis R" first="Roméo" last="Courbis">Roméo Courbis</name><name sortKey="Heam, Pierre Cyrille" sort="Heam, Pierre Cyrille" uniqKey="Heam P" first="Pierre-Cyrille" last="Héam">Pierre-Cyrille Héam</name><name sortKey="Kouchnarenko, Olga" sort="Kouchnarenko, Olga" uniqKey="Kouchnarenko O" first="Olga" last="Kouchnarenko">Olga Kouchnarenko</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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