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Disjunctive bases: normal forms and model theory for modal logics

Sebastian Enqvist ; Yde Venema.

We present the concept of a disjunctive basis as a generic framework for normal forms in modal logic based on coalgebra. Disjunctive bases were defined in previous work on completeness for modal fixpoint logics, where they played a central role in the proof of a generic completeness theorem for&nbsp;[&hellip;]

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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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