Emptiness and Universality Problems in Timed Automata with Positive Frequency
Formal Languages and Automata Theory
2013-09-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1309.2842,
title = {Emptiness and Universality Problems in Timed Automata with Positive Frequency},
author = {Nathalie Bertrand and Patricia Bouyer and Thomas Brihaye and Amelie Stainer},
journal= {arXiv preprint arXiv:1309.2842},
year = {2013}
}