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Decision Problems for Parametric Timed Automata

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Abstract

Parametric timed automata (PTAs) allow to reason on systems featuring concurrency and timing constraints making use of parameters. Most problems are undecidable for PTAs, including the parametric reachability emptiness problem, i.e., whether at least one parameter valuation allows to reach some discrete state. In this paper, we first exhibit a subclass of PTAs (namely integer-points PTAs) with bounded rational-valued parameters for which the parametric reachability emptiness problem is decidable. Second, we present further results improving the boundary between decidability and undecidability for PTAs and their subclasses.

This work is partially supported by the ANR national research program “PACS” (ANR-14-CE28-0002).

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Notes

  1. 1.

    The bounded integer PTAs of [14] are arguably a trivial such subclass (even though the associated analysis techniques are not).

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Authors and Affiliations

  1. École Centrale de Nantes, IRCCyN, CNRS, UMR 6597, Nantes, France

    Étienne André, Didier Lime & Olivier H. Roux

  2. Université Paris 13, Sorbonne Paris Cité, LIPN, CNRS, UMR 7030, Villetaneuse, France

    Étienne André

Authors
  1. Étienne André
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  2. Didier Lime
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  3. Olivier H. Roux
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Correspondence to Étienne André .

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Editors and Affiliations

  1. School of Information Science, Japan Advanced Institute of Science and Technology (JAIST), Nomi, Japan

    Kazuhiro Ogata

  2. Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada

    Mark Lawford

  3. Department of Computer Science, Hosei University, Tokyo, Japan

    Shaoying Liu

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André, É., Lime, D., Roux, O.H. (2016). Decision Problems for Parametric Timed Automata. In: Ogata, K., Lawford, M., Liu, S. (eds) Formal Methods and Software Engineering. ICFEM 2016. Lecture Notes in Computer Science(), vol 10009. Springer, Cham. https://doi.org/10.1007/978-3-319-47846-3_25

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  • DOI: https://doi.org/10.1007/978-3-319-47846-3_25

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-47846-3

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