Computing Approximations of Linear Transition Systems
Identifieur interne : 007E44 ( Main/Exploration ); précédent : 007E43; suivant : 007E45Computing Approximations of Linear Transition Systems
Auteurs : Julien Musset [France] ; Michaël Rusinowitch [France]Source :
English descriptors
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Abstract
Transition systems have been intensively applied to the modelling of complex systems. Their safety properties can be verified using model-checking procedures by iterative computation of fixed points. The approach has to face two main difficulties: the complexity of computations on the data domain and the termination of the iterative algorithm. In many cases an analysis of the transition system can be exploited in order to speed up the calculus. Metatransitions are upper approximations of transition relations: they lead in one step to a superset of the states occuring on an infinite trajectory. Using polynomials we compute metatransitions for linear transition systems. We apply this method to a train controller.
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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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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="indirect"><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><tutelle active="#struct-2496" type="direct"><org type="laboratory" xml:id="struct-2496" status="OLD"><orgName>INRIA Lorraine</orgName><desc><address><addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref></desc><listRelation><relation active="#struct-300009" type="direct"></relation></listRelation></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université Nancy 2</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><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></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>acceleration rules</term><term>infinite systems</term><term>linear transition systems</term><term>metatransitions</term><term>model-checking</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Transition systems have been intensively applied to the modelling of complex systems. Their safety properties can be verified using model-checking procedures by iterative computation of fixed points. The approach has to face two main difficulties: the complexity of computations on the data domain and the termination of the iterative algorithm. In many cases an analysis of the transition system can be exploited in order to speed up the calculus. Metatransitions are upper approximations of transition relations: they lead in one step to a superset of the states occuring on an infinite trajectory. Using polynomials we compute metatransitions for linear transition systems. We apply this method to a train controller.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Franche-Comté</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Belfort</li><li>Besançon</li><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</li><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></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Musset, Julien" sort="Musset, Julien" uniqKey="Musset J" first="Julien" last="Musset">Julien Musset</name></region><name sortKey="Rusinowitch, Michael" sort="Rusinowitch, Michael" uniqKey="Rusinowitch M" first="Michaël" last="Rusinowitch">Michaël Rusinowitch</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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