Publication details

Bisimulation invariant monadic-second order logic in the finite

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Authors

BLUMENSATH Achim WOLF Felix

Year of publication 2020
Type Article in Periodical
Magazine / Source Theoretical Computer Science
MU Faculty or unit

Faculty of Informatics

Citation
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Doi http://dx.doi.org/10.1016/j.tcs.2020.03.001
Keywords Bisimulation; Monadic second-order logic; Composition method
Description We consider bisimulation-invariant monadic second-order logic over various classes of finite transition systems. We present several combinatorial characterisations of when the expressive power of this fragment coincides with that of the modal u-calculus. Using these characterisations we prove for some simple classes of transition systems that this is indeed the case. In particular, we show that, over the class of all finite transition systems with Cantor-Bendixson rank at most k, bisimulation-invariant MSO coincides with L.
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