Algebraic derivation of until rules and application to timer verification

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Abstract

Using correspondences between linear temporal logic and modal Kleene Algebra, we prove in an algebraic manner rules of linear temporal logic involving the until operator. These can be used to verify programmable logic controllers; as a case study we use a part of the control of pedestrian lights, verified with the interactive tool KIV.

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Ertel, J., Glück, R., & Möller, B. (2018). Algebraic derivation of until rules and application to timer verification. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11194 LNCS, pp. 244–262). Springer Verlag. https://doi.org/10.1007/978-3-030-02149-8_15

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