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Compositional coordinator synthesis of extended finite automata

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Abstract

To avoid the state-space explosion problem, a set of supervisors may be synthesized using divide and conquer strategies, like modular or multilevel synthesis. Unfortunately, these supervisors may be conflicting, meaning that even though they are individually non-blocking, they are together blocking. Abstraction-based compositional nonblocking verification of extended finite automata provides means to verify whether a set of models is nonblocking. In case of a blocking system, a coordinator can be synthesized to resolve the blocking. This paper presents a framework for compositional coordinator synthesis for discrete-event systems modeled as extended finite automata. The framework allows for synthesis of a coordinator on the abstracted system in case compositional verification identifies the system to be blocking. As the abstracted system may use notions not present in the original model, like renamed events, the synthesized coordinator is refined such that it will be nonblocking, controllable, and maximally permissive for the original system. For each abstraction, it is shown how this refinement can be performed. It turns out that for the presented set of abstractions the coordinator refinement is straightforward.

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Acknowledgements

The authors thank S. Mohajerani for the several fruitful discussions on compositional nonblocking verification and compositional supervisor synthesis.

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Authors and Affiliations

  1. Eindhoven University of Technology, Eindhoven, Netherlands

    Martijn A. Goorden, Joanna M. van de Mortel-Fronczak, Michel A. Reniers & Jacobus E. Rooda

  2. Chalmers University of Technology, Gothenburg, Sweden

    Martin Fabian

  3. Vrije Universiteit Amsterdam, Amsterdam, Netherlands

    Wan J. Fokkink

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  1. Martijn A. Goorden
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  2. Martin Fabian
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  3. Joanna M. van de Mortel-Fronczak
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  6. Jacobus E. Rooda
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Correspondence to Martijn A. Goorden.

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This work is supported by Rijkswaterstaat, part of the Ministry of Infrastructure and Water Management of the Government of the Netherlands, and by the Swedish Science Foundation, Vetenskapsrådet

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Goorden, M.A., Fabian, M., van de Mortel-Fronczak, J.M. et al. Compositional coordinator synthesis of extended finite automata. Discrete Event Dyn Syst 31, 317–348 (2021). https://doi.org/10.1007/s10626-020-00334-w

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