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Erschienen in:
2009 | OriginalPaper | Buchkapitel
When Are Timed Automata Determinizable?
verfasst von : Christel Baier, Nathalie Bertrand, Patricia Bouyer, Thomas Brihaye
Erschienen in: Automata, Languages and Programming
Verlag: Springer Berlin Heidelberg
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In this paper, we propose an abstract procedure which, given a timed automaton, produces a language-equivalent deterministic infinite timed tree. We prove that under a certain boundedness condition, the infinite timed tree can be reduced into a classical
deterministic
timed automaton. The boundedness condition is satisfied by several subclasses of timed automata, some of them were known to be determinizable (event-clock timed automata, automata with integer resets), but some others were not. We prove for instance that strongly non-Zeno timed automata can be determinized. As a corollary of those constructions, we get for those classes the decidability of the universality and of the inclusion problems, and compute their complexities (the inclusion problem is for instance EXPSPACE-complete for strongly non-Zeno timed automata).