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Rapport (Rapport De Recherche) Année : 2005

Modal specifications are a syntactic fragment of the Mu-calculus

Résumé

In this report we introduce modal specifications, a new object dedicated to specify some branching-time properties for systems. Modal specifications are a useful tool for studying Petri net synthesis although this aspect is not presented here. The main purpose of this report is to establish the equivalence between a syntactic fragment of the Mu-calculus, namely the conjunctive Nu-calculus and modal specifications. We give the algorithm for constructing a conjunctive Nu-calculus sentence equivalent to a modal specification and the converse. We also study the structure of the set of models of a modal specification.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00070396 , version 1 (19-05-2006)

Identifiants

  • HAL Id : inria-00070396 , version 1

Citer

Guillaume Feuillade. Modal specifications are a syntactic fragment of the Mu-calculus. [Research Report] RR-5612, INRIA. 2005, pp.17. ⟨inria-00070396⟩
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