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Iterative Bounded Synthesis for Efficient Cycle Detection in Parametric Timed Automata

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


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.


  • Parameter Synthesis
  • Liveness Properties

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


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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.

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