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Uniformity for the decidability of hybrid automata

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Static Analysis (SAS 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1145))

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Abstract

We present some new decidability results on the verification of hybrid automata by symbolic analysis (abstract interpretation using polyhedra). The results include defining a class of hybrid automata for which all properties expressed in the real-time temporal logic Tctl are decidable. The obtained class of automata is shown powerful enough to model reactive applications in which every task eventually terminates within uniformly-bounded time. Indeed, the restrictions we use for obtaining decidability have a physical meaning, and they all impose some kind of uniformity to the runs of hybrid automata.

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Author information

Authors and Affiliations

  1. Institut Universitaire de France and Laboratoire d'Automatique de Nantes, France

    Olivier Roux

  2. Laboratoire d'Automatique de Nantes, CNRS, Univ.Nantes, Ecole Centrale de Nantes, 44072, Nantes Cedex 03, France

    Vlad Rusu

Authors
  1. Olivier Roux
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  2. Vlad Rusu
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Radhia Cousot David A. Schmidt

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© 1996 Springer-Verlag Berlin Heidelberg

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Roux, O., Rusu, V. (1996). Uniformity for the decidability of hybrid automata. In: Cousot, R., Schmidt, D.A. (eds) Static Analysis. SAS 1996. Lecture Notes in Computer Science, vol 1145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61739-6_49

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  • DOI: https://doi.org/10.1007/3-540-61739-6_49

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61739-6

  • Online ISBN: 978-3-540-70674-8

  • eBook Packages: Springer Book Archive

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