HAL : inria-00335915, version 1

Voir la fiche détaillée

BibTeX,EndNote,... BibTeX - EndNote - TEI - RefWorks -

Computer Aided Verification, 15th International Conference, Boulder, CO : United States (2003)

Hybrid Acceleration using Real Vector Automata

Bernard Boigelot 1, Frédéric Herbreteau 2, Sébastien Jodogne 1

(2003)

This paper addresses the problem of computing an exact and effective representation of the set of reachable configurations of a linear hybrid automaton. Our solution is based on accelerating the state-space exploration by computing symbolically the repeated effect of cycles in the automaton control graph. The computed sets of configurations are represented by Real Vector Automata (RVA), the expressive power of which is beyond that of the first-order additive theory of reals and integers. This approach makes it possible to compute in finite time sets of configurations that cannot be expressed as finite unions of convex sets. The main technical contributions of the paper consist in a powerful sufficient criterion for checking whether a hybrid transformation (i.e., with both discrete and continuous features) can be accelerated, as well as an algorithm for applying such an accelerated transformation on RVA. Our results have been implemented and successfully applied to several case studies, including the well-known leaking gas burner, and a simple communication protocol with timers.

1 :	Department of Electrical Engineering and Computer Science (Institut Montefiore)
	Université de Liège
2 :	Laboratoire Bordelais de Recherche en Informatique (LaBRI)
	CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II

Domaine

:

Informatique/Logique en informatique

Mots-clés : Linear Hybrid Automata – Exact Symbolic Model-Checking – Acceleration

inria-00335915, version 1

http://hal.inria.fr/inria-00335915

oai:hal.inria.fr:inria-00335915

Contributeur : Frédéric Herbreteau <>

Soumis le : Vendredi 31 Octobre 2008, 12:13:55

Dernière modification le : Vendredi 31 Octobre 2008, 15:23:56