Quantitative temporal logic

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Abstract

We define a quantitative Temporal Logic that is based on a simple modality within the framework of Monadic Predicate Logic. Its canonical model is the real line (and not an w-sequence of some type). We prove its decidability using general theorems from Logic (and not Automata theory). We show that it is as expressive as any alternative suggested in the literature.

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Hirshfeld, Y., & Rabinovich, A. (1999). Quantitative temporal logic. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1683, pp. 172–187). Springer Verlag. https://doi.org/10.1007/3-540-48168-0_13

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