Publication details

Bisimulation Invariant Monadic-Second Order Logic in the Finite



Type Article in Proceedings
Conference 45th International Colloquium on Automata, Languages, and Programming, ICALP 2018, July 9-13, 2018, Prague, Czech Republic
MU Faculty or unit

Faculty of Informatics

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 mu-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_mu.
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