Quantitative robustness analysis of flat timed automata

  • Authors:
  • Rémi Jaubert;Pierre-Alain Reynier

  • Affiliations:
  • LIF, Université Aix-Marseille & CNRS, France;LIF, Université Aix-Marseille & CNRS, France

  • Venue:
  • FOSSACS'11/ETAPS'11 Proceedings of the 14th international conference on Foundations of software science and computational structures: part of the joint European conferences on theory and practice of software
  • Year:
  • 2011

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Abstract

Whereas formal verification of timed systems has become a very active field of research, the idealized mathematical semantics of timed automata cannot be faithfully implemented. Recently, several works have studied a parametric semantics of timed automata related to implementability: if the specification is met for some positive value of the parameter, then there exists a correct implementation. In addition, the value of the parameter gives lower bounds on sufficient resources for the implementation. In this work, we present a symbolic algorithm for the computation of the parametric reachability set under this semantics for flat timed automata. As a consequence, we can compute the largest value of the parameter for a timed automaton to be safe.