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An expressive completeness theorem for coalgebraic modal mu-calculi

Sebastian Enqvist ; Fatemeh Seifan ; Yde Venema.

Generalizing standard monadic second-order logic for Kripke models, we introduce monadic second-order logic interpreted over coalgebras for an arbitrary set functor. We then consider invariance under behavioral equivalence of MSO-formulas. More specifically, we investigate whether the coalgebraic&nbsp;[&hellip;]

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Some model theory for the modal $\mu$-calculus: syntactic characterisations of semantic properties

Gaëlle Fontaine ; Yde Venema.

This paper contributes to the theory of the modal $\mu$-calculus by proving some model-theoretic results. More in particular, we discuss a number of semantic properties pertaining to formulas of the modal $\mu$-calculus. For each of these properties we provide a corresponding syntactic fragment, in&nbsp;[&hellip;]

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