Parallel Composition and Modular Verification of Computer Controlled Systems in Differential Dynamic Logic

  • Simon Lunel
  • Stefan Mitsch
  • Benoit Boyer
  • Jean-Pierre TalpinEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11800)


Computer-Controlled Systems (CCS) are a subclass of hybrid systems where the periodic relation of control components to time is paramount. Since they additionally are at the heart of many safety-critical devices, it is of primary importance to correctly model such systems and to ensure they function correctly according to safety requirements. Differential dynamic logic \(d\mathcal {L}\) is a powerful logic to model hybrid systems and to prove their correctness. We contribute a component-based modeling and reasoning framework to \(d\mathcal {L}\) that separates models into components with timing guarantees, such as reactivity of controllers and controllability of continuous dynamics. Components operate in parallel, with coarse-grained interleaving, periodic execution and communication. We present techniques to automate system safety proofs from isolated, modular, and possibly mechanized proofs of component properties parameterized with timing characteristics.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Simon Lunel
    • 1
    • 2
  • Stefan Mitsch
    • 3
  • Benoit Boyer
    • 1
  • Jean-Pierre Talpin
    • 2
    Email author
  1. 1.Mitsubishi Electric R&D Centre EuropeRennes CEDEX 7France
  2. 2.Inria, Centre de recherche Rennes - Bretagne - Atlantique, Campus universitaire de BeaulieuRennes CedexFrance
  3. 3.Computer Science DepartmentCarnegie Mellon UniversityPittsburghUSA

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