## Klin, Bartek and Łełyk, Mateusz - Scalar and Vectorial mu-calculus with Atoms

lmcs:4389 - Logical Methods in Computer Science, October 29, 2019, Volume 15, Issue 4
Scalar and Vectorial mu-calculus with Atoms

Authors: Klin, Bartek and Łełyk, Mateusz

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-enriched $\mu$-calculi, and explain how their expressive power depends on the structure of atoms used, and on the choice between basic or vectorial syntax.

Source : oai:arXiv.org:1803.06752
Volume: Volume 15, Issue 4
Published on: October 29, 2019
Submitted on: March 20, 2018
Keywords: Computer Science - Logic in Computer Science,F.4.1,D.2.4