Compositional Verification of Concurrent Systems by Combining Bisimulations

  • Frédéric LangEmail author
  • Radu Mateescu
  • Franco Mazzanti
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11800)


One approach to verify a property expressed as a modal \(\mu \)-calculus formula on a system with several concurrent processes is to build the underlying state space compositionally (i.e., by minimizing and recomposing the state spaces of individual processes, keeping visible only the relevant actions occurring in the formula), and check the formula on the resulting state space. It was shown previously that, when checking the formulas of the \(L_{\mu }^{ dsbr }\) fragment of \(\mu \)-calculus (consisting of weak modalities only), individual processes can be minimized modulo divergence-preserving branching (divbranching) bisimulation. In this paper, we refine this approach to handle formulas containing both strong and weak modalities, so as to enable a combined use of strong or divbranching bisimulation minimization on concurrent processes depending whether they contain or not the actions occurring in the strong modalities of the formula. We extend \(L_{\mu }^{ dsbr }\) with strong modalities and show that the combined minimization approach preserves the truth value of formulas of the extended fragment. We implemented this approach on top of the CADP verification toolbox and demonstrated how it improves the capabilities of compositional verification on realistic examples of concurrent systems.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Frédéric Lang
    • 1
    Email author
  • Radu Mateescu
    • 1
  • Franco Mazzanti
    • 2
  1. 1.Univ. Grenoble Alpes, Inria, CNRS, Grenoble INP (Institute of Engineering Univ. Grenoble Alpes), LIGGrenobleFrance
  2. 2.ISTI-CNRPisaItaly

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