Structural Refinement for the Modal nu-Calculus

Fahrenberg, Uli;Legay, Axel;Traonouez, Louis-Marie
(2014) ICTAC (September.2014)

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  • Fahrenberg, Uli
    Author
  • Legay, AxelUCLouvain
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  • Traonouez, Louis-Marie
    Author
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. Theoretical Aspects of Computing – ICTAC 2014 Lecture Notes in Computer Science. Published. ICTAC. https://doi.org/10.1007/978-3-319-10882-7_11