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Modal specifications are a syntactic fragment of the Mu-calculus

Guillaume Feuillade 1
1 S4 - System synthesis and supervision, scenarios
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
Abstract : 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.
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Submitted on : Friday, May 19, 2006 - 8:22:46 PM
Last modification on : Wednesday, March 16, 2022 - 9:26:12 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:01:15 PM


  • HAL Id : inria-00070396, version 1


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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