When Are Timed Automata Determinizable?

  • Authors:
  • Christel Baier;Nathalie Bertrand;Patricia Bouyer;Thomas Brihaye

  • Affiliations:
  • Technische Universität Dresden, Germany;INRIA Rennes Bretagne Atlantique, France;LSV, CNRS & ENS Cachan, France;Université de Mons, Belgium

  • Venue:
  • ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

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).