N. Bertrand, P Bouyer, Th. Brihaye, A. Stainer. Emptiness and Universality Problems in Timed Automata with Positive Frequency. In Proceedings of the 38th International Colloquium on Automata, Languages and Programming (ICALP'11), LNCS, Volume 6756, Pages 246-257, Zürich, Switzerland, July 2011.
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The languages of infinite timed words accepted by timed automata are traditionally defined using Buchi-like conditions. These acceptance conditions focus on the set of locations visited infinitely often along a run, but completely ignore quantitative timing aspects. In this paper we propose a natural quantitative semantics for timed automata based on the so-called frequency, which measures the proportion of time spent in the accepting locations. We study various properties of timed languages accepted with positive frequency, and in particular the emptiness and universality problems
Nathalie Bertrand http://www.irisa.fr/prive/nbertran/
Amélie Stainer http://www.irisa.fr/prive/amelie.stainer/
@InProceedings{icalp2011,
Author = {Bertrand, N. and Bouyer, P and Brihaye, Th. and Stainer, A.},
Title = {Emptiness and Universality Problems in Timed Automata with Positive Frequency},
BookTitle = {Proceedings of the 38th International Colloquium on Automata, Languages and Programming (ICALP'11)},
Volume = {6756},
Pages = {246--257},
Series = {LNCS},
Publisher = {Springer},
Address = {Zürich, Switzerland},
Month = {July},
Year = {2011}
}
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