C. Baier, N. Bertrand, P. Bouyer, T. Brihaye, M. Grosser. A Probabilistic Semantics for Timed Automata. Research Report No LSV-08-13 Laboratoire Spécification et Vérification, ENS Cachan, France, April 2008.
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In this paper, we define two relaxed semantics (one based on probabilities and the other one based on the topological notion of largeness) for LTL over infinite runs of timed automata which rule out unlikely sequences of events. We prove that these two semantics coincide in the framework of single-clock timed automata (and only in that framework), and prove that the corresponding relaxed model-checking problems are PSPACE-Complete. Moreover, we prove that the probabilistic non-Zenoness can be decided for single-clock timed automata in NLOGSPACE
Nathalie Bertrand http://www.irisa.fr/prive/nbertran/
@TechReport{LSV:08:13,
Author = {Baier, C. and Bertrand, N. and Bouyer, P. and Brihaye, T. and Grosser, M.},
Title = {A Probabilistic Semantics for Timed Automata},
Institution = {Laboratoire Spécification et Vérification, ENS Cachan, France},
Month = {April},
Year = {2008}
}
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