Time-Bounded Reachability for Monotonic Hybrid Automata: Complexity and Fixed Points

  • Thomas Brihaye
  • Laurent Doyen
  • Gilles Geeraerts
  • Joel Ouaknine
  • Jean-Francois Raskin
  • James Worrell
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8172)

Abstract

We study the time-bounded reachability problem for monotonic hybrid automata (MHA), i.e., rectangular hybrid automata for which the rate of each variable is either always non-negative or always non-positive. In this paper, we revisit the decidability results presented in [5] and show that the problem is NExpTime-complete. We also show that we can effectively compute fixed points that characterise the sets of states that are reachable (resp. co-reachable) within T time units from a given state.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Thomas Brihaye
    • 1
  • Laurent Doyen
    • 2
  • Gilles Geeraerts
    • 3
  • Joel Ouaknine
    • 4
  • Jean-Francois Raskin
    • 3
  • James Worrell
    • 4
  1. 1.UMonsBelgium
  2. 2.LSV CachanFrance
  3. 3.ULBBelgium
  4. 4.Oxford UniversityUK

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