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N. Bertrand, A. Stainer, T. Jéron, M. Krichen. A game approach to determinize timed automata. Research Report INRIA, No 7381, October 2010.

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Timed automata are frequently used to model real-time systems. Their determinization is a key issue for several validation problems. However, not all timed automata can be determinized, and determinizability itself is undecidable. In this paper, we propose a game-based algorithm which, given a timed automaton, tries to produce a language-equivalent deterministic timed automaton, otherwise a deterministic over-approximation. Our method subsumes two recent contributions: it is at once more general than the existing determinization procedure and more precise than the approximation algorithm. Moreover, we explain how to extend our method to deal with invariants and $\varepsilon$-transitions, and also consider other useful approximations: under-approximation, and combination of under- and over-approximations


Nathalie Bertrand http://www.irisa.fr/prive/nbertran/
Amélie Stainer http://www.irisa.fr/prive/amelie.stainer/
Thierry Jéron http://www.irisa.fr/prive/jeron

BibTex Reference

   Author = {Bertrand, N. and Stainer, A. and Jéron, T. and Krichen, M.},
   Title = {A game approach to determinize timed automata},
   Number = {7381},
   Institution = {INRIA},
   Month = {October},
   Year = {2010}

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