Abstract
The synthesis of timing parameters consists in deriving conditions on the timing constants of a concurrent system such that it meets its specification. Parametric timed automata are a powerful formalism for parameter synthesis, although most problems are undecidable. We first address here the following reachability preservation problem: given a reference parameter valuation and a (bad) control state, do there exist other parameter valuations that reach this control state iff the reference parameter valuation does? We show that this problem is undecidable, and introduce a procedure that outputs a possibly underapproximated answer. We then show that our procedure can efficiently replace the behavioral cartography to partition a bounded parameter subspace into good and bad subparts; furthermore, our procedure can even outperform the classical bad-state driven parameter synthesis semi-algorithm, especially when distributed on a cluster.
This work was partially supported by a BQR grant “SynPaTiC” and by the ANR national research program “PACS” (ANR-2014).
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André, É., Lipari, G., Nguyen, H.G., Sun, Y. (2015). Reachability Preservation Based Parameter Synthesis for Timed Automata. In: Havelund, K., Holzmann, G., Joshi, R. (eds) NASA Formal Methods. NFM 2015. Lecture Notes in Computer Science(), vol 9058. Springer, Cham. https://doi.org/10.1007/978-3-319-17524-9_5
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DOI: https://doi.org/10.1007/978-3-319-17524-9_5
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