NDLI: Méthode de Conception Compositionelle avec les Chaines de Markov avec Contraintes

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Méthode de Conception Compositionelle avec les Chaines de Markov avec Contraintes

Content Provider	Semantic Scholar
Author	Caillaud, Benoît Delahaye, Benoît Larsen, Kim G. Legay, Axel Pedersen, Mikkel L. Wasowski, Andrzej
Copyright Year	2009
Abstract	A specification theory combines notions of specification and implementation with a satisfaction relation, a refinement relation and set of operators that together support stepwise design. We propose a new abstraction, Cons traint Markov Chains, and use it to construct a specification theory for Markov Chai ns. Constraint Markov Chains generalize previously known abstractions by allowi ng arbitrary constraints on probability distributions. Our theory is the first specifica tion theory for Markov Chains closed under conjunction, parallel composition and synchr onization. Moreover, all the operators and relations introduced are computable. Key-words: Compositional Reasoning, Probability, CMC Méthode de Conception Compositionelle avec les Chaines de Markov avec Contraintes Résumé :Une théorie de spécification combine les notions de spécifica tion et implémentation avec des relations de satisfaction et raffinement , et un ensemble d’opérateurs qui permettent une conception incrémentale. Nous proposon s une nouvelle abstraction, les chaînes de Markov avec contraintes, et les utilisons pou r c nstruire une théorie de spécification pour les chaînes de Markov. Les chaînes de Ma rkov vec contraintes généralisentd’autres abstractions plus anciennes en auto risant des contraintes arbitraires sur les distributions de probabilité. Notre théorie est la p remière théorie de spécification pour les chaînes de Markov close sous conjonction, composit ion parallèle et synchronisation. De plus, tous les opérateurs et relations introdu its sont calculables. Mots-clés : Raisonnement Compositionel, Probabilités, CMC Compositional Design Methodology with Constraint Markov C hains 3
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://people.rennes.inria.fr/Benoit.Delahaye/rapports/RR-6993.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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