Beyond liveness: efficient parameter synthesis for time bounded liveness

  • Authors:
  • Gerd Behrmann;Kim G. Larsen;Jacob Illum Rasmussen

  • Affiliations:
  • Department of Computer Science, Aalborg University, Denmark;Department of Computer Science, Aalborg University, Denmark;Department of Computer Science, Aalborg University, Denmark

  • Venue:
  • FORMATS'05 Proceedings of the Third international conference on Formal Modeling and Analysis of Timed Systems
  • Year:
  • 2005

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Abstract

In this paper, we deal with the problem of parameter synthesis for a subset of parameterised TCTL over timed automata. The problem was proved decidable by V. Bruyere et al. in [10] for general parameterised TCTL using a translation to Presburger arithmetic and also considered by F. Wang in [13] using a parametric region construction. In contrast, we provide two efficient zone based algorithms for a useful subset of parameterised TCTL. The subset has obvious applications to worst case execution time (WCET) analysis. In [11] WCET is performed via model checking, but their approach uses a binary search strategy over several invocations of the model checker. In contrast, both our algorithms synthesise the bound directly. We provide experimental results based on a prototype implementation in Uppaal for two case studies: The first concerns response time analysis of a well known train gate scenario. The second is an execution time analysis of task graph problems where tasks have uncertain execution times.