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arXiv · 1211.4651

Counting CTL

François Laroussinie·Antoine Meyer·Eudes Petonnet
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Abstract

This paper presents a range of quantitative extensions for the temporal logic CTL. We enhance temporal modalities with the ability to constrain the number of states satisfying certain sub-formulas along paths. By selecting the combinations of Boolean and arithmetic operations allowed in constraints, one obtains several distinct logics generalizing CTL. We provide a thorough analysis of their expressiveness and succinctness, and of the complexity of their model-checking and satisfiability problems (ranging from P-complete to undecidable). Finally, we present two alternative logics with similar features and provide a comparative study of the properties of both variants.

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François Laroussinie, Antoine Meyer, Eudes Petonnet. 2012-11-20. Counting CTL. https://doi.org/10.2168/lmcs-9(1:3)2013

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