Efficient on-the-fly emptiness check for timed Büchi automata

  • Authors:
  • Frédéric Herbreteau;B. Srivathsan

  • Affiliations:
  • LaBRI, Université de Bordeaux, CNRS;LaBRI, Université de Bordeaux, CNRS

  • Venue:
  • ATVA'10 Proceedings of the 8th international conference on Automated technology for verification and analysis
  • Year:
  • 2010

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Abstract

The Büchi non-emptiness problem for timed automata concerns deciding if a given automaton has an infinite non-Zeno run satisfying the Büchi accepting condition. The solution to this problem amounts to searching for a cycle in the so-called zone graph of the automaton. Since non-Zenoness cannot be verified directly from the zone graph, additional constructions are required. In this paper, it is shown that in many cases, non-Zenoness can be ascertained without extra constructions. An on-the-fly algorithm for the non-emptiness problem, using an efficient non-Zenoness construction only when required, is proposed. Experiments carried out with a prototype implementation of the algorithm are reported and the results are seen to be promising.