Termination within a finite mean time of probabilistic rules based systems
Identifieur interne : 004738 ( Main/Exploration ); précédent : 004737; suivant : 004739Termination within a finite mean time of probabilistic rules based systems
Auteurs : Florent Garnier [France]Source :
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Abstract
In this thesis we define a new formalism that allows to model transition systems where transitions can be either probabilistic or non deterministic. We choose to extend the rewriting formalism because it allows to simply express non-deterministic behavior. Latter, we study the termination of such systems and we give some criteria that imply the termination within a finite mean number of rewrite steps. We also study the termination of such systems when the firing of probabilistic rules are controlled by strategies. In this document, we use our techniques to model the WIFI protocol and show that a pool of stations successfully emits all its messages within a finite mean time.
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Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
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positive</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this thesis we define a new formalism that allows to model transition systems where transitions can be either probabilistic or non deterministic. We choose to extend the rewriting formalism because it allows to simply express non-deterministic behavior. Latter, we study the termination of such systems and we give some criteria that imply the termination within a finite mean number of rewrite steps. We also study the termination of such systems when the firing of probabilistic rules are controlled by strategies. In this document, we use our techniques to model the WIFI protocol and show that a pool of stations successfully emits all its messages within a finite mean time.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Nancy 2</li><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Garnier, Florent" sort="Garnier, Florent" uniqKey="Garnier F" first="Florent" last="Garnier">Florent Garnier</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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