Abstract
In this paper, we propose an algorithm for bounded safety verification for a class of hybrid systems described by metric transition systems. The algorithm combines exploration of the system trajectories and state space reduction using merging based on a bisimulation metric. The main novelty compared to an algorithm presented recently by Lerda et.al. lies in the introduction of a tuning parameter that makes it possible to increase the performances drastically. The second significant contribution of this work is a procedure that allows us to derive, in some cases, a proof of unbounded safety from a proof of bounded safety via a refinement step. We demonstrate the efficiency of the approach via experimental results.
This work was supported by the ANR SETIN project VAL-AMS.
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Zheng, G., Girard, A. (2009). Bounded and Unbounded Safety Verification Using Bisimulation Metrics. In: Majumdar, R., Tabuada, P. (eds) Hybrid Systems: Computation and Control. HSCC 2009. Lecture Notes in Computer Science, vol 5469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00602-9_30
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DOI: https://doi.org/10.1007/978-3-642-00602-9_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00601-2
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