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ATP : une algebre pour la specification et l'analyse des systemes temps reel

Abstract : This thesis deals with the specification and verification of real time systems. We present an algebra of timed processes ATP for describing such systems using various temporal operators. The operational semantics of ATP is based upon the synchrony hypothesis of the so called synchronous languages. The model associated to a process is a labelled transition system, where the discrete time passing is denoted by a special transition label. A complete axiomatisation of strong equivalence allows to compare two terms without building their models. The algebra's semantics is then generalised to any time domain, and especially to dense time. We show that a safety property is satisfied by a process in any discrete time semantics if it is satisfied in a dense one. In a second part, we study the formalism of timed graphs, which are automata extended with time counters. We present a method for translating ATP into timed graphs, preserving the semantics of processes. The size of the resulting graph is independent from the delay values in the description, since time constraints are expressed symbolically. Finally, we provide an algorithm for verifying properties over timed graphs. It consists in checking a formula of a real time temporal logic using symbolic methods. The main practical interest of this algorithm is to avoid the combinatorial state explosion of the low-level models due to the presence of delay values. We obtain thus the theoretical bases for designing a tool for the description and verification of real time systems. -- Taille du fichier postscript : 1570 KB
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Submitted on : Tuesday, February 17, 2004 - 3:11:07 PM
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  • HAL Id : tel-00004732, version 1




Xavier Nicollin. ATP : une algebre pour la specification et l'analyse des systemes temps reel. Autre [cs.OH]. Institut National Polytechnique de Grenoble - INPG, 1992. Français. ⟨tel-00004732⟩



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