Scalar and Vectorial mu-calculus with Atoms

We study an extension of modal $\mu$-calculus to sets with atoms and we study its basic properties. Model checking is decidable on orbit-finite structures, and a correspondence to parity games holds. On the other hand, satisfiability becomes undecidable. We also show expressive limitations of atom-e...

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Bibliographic Details
Main Authors: Bartek Klin, Mateusz Łełyk
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2019-10-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4389/pdf