# Expressiveness Modulo Bisimilarity: A Coalgebraic Perspective

@inproceedings{Venema2014ExpressivenessMB,
title={Expressiveness Modulo Bisimilarity: A Coalgebraic Perspective},
author={Yde Venema},
booktitle={Johan van Benthem on Logic and Information Dynamics},
year={2014}
}
• Y. Venema
• Published in
Johan van Benthem on Logic…
2014
• Computer Science
One of van Benthem’s seminal results is the Bisimulation Theorem characterizing modal logic as the bisimulation-invariant fragment of first-order logic. Janin and Walukiewicz extended this theorem to include fixpoint operators, showing that the modal $${\mu }$$-calculus $${\mu }$$ML is the bisimulation-invariant fragment of monadic second-order logic MSO. Their proof uses parity automata that operate on Kripke models, and feature a transition map defined in terms of certain fragments of monadic…

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