Abstract
The languages of infinite timed words accepted by timed automata are traditionally defined using Büchi-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.
This work has been partly supported by the ESF project GASICS, the ANR project ANR-2010-BLAN-0317, the Tournesol Hubert Curien partnership STP, the ARC project AUWB-2010–10/15-UMONS-3, the FRFC project 2.4515.11 and a grant from the National Bank of Belgium.
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Bertrand, N., Bouyer, P., Brihaye, T., Stainer, A. (2011). Emptiness and Universality Problems in Timed Automata with Positive Frequency. In: Aceto, L., Henzinger, M., Sgall, J. (eds) Automata, Languages and Programming. ICALP 2011. Lecture Notes in Computer Science, vol 6756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22012-8_19
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DOI: https://doi.org/10.1007/978-3-642-22012-8_19
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