Decidability of Verification of Safety Properties of Spatial Families of Linear Hybrid Automata

  • Werner Damm
  • Matthias Horbach
  • Viorica Sofronie-Stokkermans
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9322)


We consider systems composed of an unbounded number of uniformly designed linear hybrid automata, whose dynamic behavior is determined by their relation to neighboring systems. We present a class of such systems and a class of safety properties whose verification can be reduced to the verification of (small) families of “neighboring” systems of bounded size, and identify situations in which such verification problems are decidable, resp. fixed parameter tractable. We illustrate the approach with an example from coordinated vehicle guidance.


Linear Inequality Mode Switch Safety Property Hybrid Automaton Ground Term 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Werner Damm
    • 1
  • Matthias Horbach
    • 2
  • Viorica Sofronie-Stokkermans
    • 2
  1. 1.Carl von Ossietzky UniversityOldenburgGermany
  2. 2.University Koblenz and Max-Planck-Institut für InformatikSaarbrückenGermany

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