Structural refinement for the modal nu-calculus

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Abstract

We introduce a new notion of structural refinement, a sound abstraction of logical implication, for the modal nu-calculus. Using new translations between the modal nu-calculus and disjunctive modal transition systems, we show that these two specification formalisms are structurally equivalent. Using our translations, we also transfer the structural operations of composition and quotient from disjunctive modal transition systems to the modal nu-calculus. This shows that the modal nu-calculus supports composition and decomposition of specifications.

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Fahrenberg, U., Legay, A., & Traonouez, L. M. (2014). Structural refinement for the modal nu-calculus. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8687, 169–187. https://doi.org/10.1007/978-3-319-10882-7_11

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