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

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;]