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arXiv · 2310.04100

Expressiveness Results for Timed Modal Mu-Calculi

Rance Cleaveland·Jeroen J. A. Keiren·Peter Fontana
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Abstract

This paper establishes relative expressiveness results for several modal mu-calculi interpreted over timed automata. These mu-calculi combine modalities for expressing passage of (real) time with a general framework for defining formulas recursively; several variants have been proposed in the literature. We show that one logic, which we call $L^{rel}_{ν,μ}$, is strictly more expressive than the other mu-calculi considered. It is also more expressive than the temporal logic TCTL, while the other mu-calculi are incomparable with TCTL in the setting of general timed automata.

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Rance Cleaveland, Jeroen J. A. Keiren, Peter Fontana. 2023-10-06. Expressiveness Results for Timed Modal Mu-Calculi. https://doi.org/10.1007/978-3-031-68416-6_10

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