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Verifying ω-regular properties for a subclass of linear hybrid systems

  • Ahmed Bouajjani
  • Riadh Robbana
Session 12: Invited Talk
Part of the Lecture Notes in Computer Science book series (LNCS, volume 939)

Abstract

We address the problem of verifying untimed ω-regular properties for a subclass of linear hybrid systems, i.e., finite transition graphs supplied with real-valued variables that change continuously with integer rates at each control location. The systems we consider are systems with two variables, one of them must be monotonic (e.g., with rates either 0 or 1) whereas the other one can have rates either −1, 0, or 1. We prove that for these systems, the verification problem of ω-regular properties is decidable. For that, we show that these systems generate ω-context-free sets of state sequences.

Keywords

Hybrid System Temporal Logic State Sequence Transition Graph Atomic Proposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Ahmed Bouajjani
    • 1
  • Riadh Robbana
    • 1
  1. 1.Verimag, Miniparc-ZirstMontbonnot St-MartinFrance

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