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Iterative Bounded Synthesis for Efficient Cycle Detection in Parametric Timed Automata

Iterative Bounded Synthesis for Efficient Cycle Detection in Parametric Timed Automata

  • Étienne André  ORCID: orcid.org/0000-0001-8473-955510,
  • Jaime Arias  ORCID: orcid.org/0000-0003-3019-490211,
  • Laure Petrucci  ORCID: orcid.org/0000-0003-3154-526811 &
  • …
  • Jaco van de Pol  ORCID: orcid.org/0000-0003-4305-062512 
  • Conference paper
  • Open Access
  • First Online: 20 March 2021
  • 2041 Accesses

  • 7 Citations

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 12651)

Abstract

We study semi-algorithms to synthesise the constraints under which a Parametric Timed Automaton satisfies some liveness requirement. The algorithms traverse a possibly infinite parametric zone graph, searching for accepting cycles. We provide new search and pruning algorithms, leading to successful termination for many examples. We demonstrate the success and efficiency of these algorithms on a benchmark. We also illustrate parameter synthesis for the classical Bounded Retransmission Protocol. Finally, we introduce a new notion of completeness in the limit, to investigate if an algorithm enumerates all solutions.

Keywords

  • Parameter Synthesis
  • Liveness Properties
  • IMITATOR

This work is partially supported by projects CNRS-INS2I TrAVAIL, IFD SECReTS and ANR-NRF ProMiS (ANR-19-CE25-0015).

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Authors and Affiliations

  1. Université de Lorraine, CNRS, Inria, LORIA, Nancy, France

    Étienne André

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

    Jaime Arias & Laure Petrucci

  3. Aarhus University, Aarhus, Denmark

    Jaco van de Pol

Authors
  1. Étienne André
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  2. Jaime Arias
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Corresponding author

Correspondence to Jaco van de Pol .

Editor information

Editors and Affiliations

  1. Eindhoven University of Technology, Eindhoven, The Netherlands

    Prof. Jan Friso Groote

  2. Aalborg University, Aalborg East, Denmark

    Prof. Kim Guldstrand Larsen

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André, É., Arias, J., Petrucci, L., Pol, J.v.d. (2021). Iterative Bounded Synthesis for Efficient Cycle Detection in Parametric Timed Automata. In: Groote, J.F., Larsen, K.G. (eds) Tools and Algorithms for the Construction and Analysis of Systems. TACAS 2021. Lecture Notes in Computer Science(), vol 12651. Springer, Cham. https://doi.org/10.1007/978-3-030-72016-2_17

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  • DOI: https://doi.org/10.1007/978-3-030-72016-2_17

  • Published: 20 March 2021

  • Publisher Name: Springer, Cham

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