Frequency Linear-time Temporal Logic

Benedikt Bollig; Normann Decker; Martin Leucker

doi:10.1109/TASE.2012.43

Frequency Linear-time Temporal Logic

Benedikt Bollig, Normann Decker, Martin Leucker

Institute of Software Engineering and Programming Languages

CNRS and Inria

17 Citations (Scopus)

Abstract

We propose fLTL, an extension to linear-time temporal logic (LTL) that allows for expressing relative frequencies by a generalization of temporal operators. This facilitates the specification of requirements such as the deadlines in a real-time system must be met in at least 95 percent of all cases. For our novel logic, we establish an undecidability result regarding the satisfiability problem but identify a decidable fragment which strictly increases the expressiveness of LTL by allowing, e.g., to express non-context-free properties.

Original language	English
Title of host publication	2012 Sixth International Symposium on Theoretical Aspects of Software Engineering
Number of pages	8
Publisher	IEEE
Publication date	05.10.2012
Pages	85-92
Article number	6269631
ISBN (Print)	978-1-4673-2353-6
DOIs	https://doi.org/10.1109/TASE.2012.43
Publication status	Published - 05.10.2012
Event	IEEE 6th International Symposium on Theoretical Aspects of Software Engineering - Beijing , China Duration: 04.07.2012 → 06.07.2012 Conference number: 92946

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AB - We propose fLTL, an extension to linear-time temporal logic (LTL) that allows for expressing relative frequencies by a generalization of temporal operators. This facilitates the specification of requirements such as the deadlines in a real-time system must be met in at least 95 percent of all cases. For our novel logic, we establish an undecidability result regarding the satisfiability problem but identify a decidable fragment which strictly increases the expressiveness of LTL by allowing, e.g., to express non-context-free properties.

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Frequency Linear-time Temporal Logic

Abstract

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