An Equivalence Based Method for Compositional Verification of the Linear Temporal Logic of Constraint Automata

Department of Computer Engineering, Sharif University of Technology and IPM School of Computer Science, Tehran, IRAN
Electronic Notes in Theoretical Computer Science 05/2006; 159:171-186. DOI: 10.1016/j.entcs.2005.12.068
Source: DBLP

ABSTRACT Constraint automaton is a formalism to capture the operational semantics of the channel based coordination language Reo. In general constraint automaton can be used as a formalism for modeling coordination of some components. In this paper we introduce a standard linear temporal logic and two fragments of it for expressing the properties of the systems modeled by constraint automata and show that the equivalence relation defined by Valmari et al. is the minimal compositional equivalence preserving that fragment of linear time temporal logic which has no next-time operator and has an extra operator distinguishing deadlocks and a slight modification of this equivalence is the minimal equivalence preserving linear time temporal logic without next-time operator. We present a compositional model checking method based on these equivalences for component-based systems modeled by labeled transition systems and constraint automata and a simplification of it for model checking the coordinating subsystems modeled by constraint automata.


Available from: Ali Movaghar, May 29, 2015
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    ABSTRACT: Reo is a coordination language for modeling component connectors of component-based computing systems. Constraint automaton, as an extension of finite automaton, has been proposed as the operational semantics of Reo. In this paper, we introduce an extended definition of constraint automaton by which, every constraint automaton can be considered as a labeled transition system and each labeled transition system can be translated into a constraint automaton. We show that failure-based equivalences CFFD and NDFD are congruences with respect to composition of constraint automata using their join (production) and hiding operators. Based on these congruency results and by considering the temporal logic preservation properties of CFFD and NDFD equivalences, they can be used for reducing sizes of models before doing model checking based verification.
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