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Neighbourhood Structures: Bisimilarity and Basic Model Theory

Helle Hvid Hansen ; Clemens Kupke ; Eric Pacuit.

Neighbourhood structures are the standard semantic tool used to reason about non-normal modal logics. The logic of all neighbourhood models is called classical modal logic. In coalgebraic terms, a neighbourhood frame is a coalgebra for the contravariant powerset functor composed with itself, denoted&nbsp;[&hellip;]

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Expressive Logics for Coinductive Predicates

Clemens Kupke ; Jurriaan Rot.

The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general context, moving from transition systems to coalgebras and from&nbsp;[&hellip;]

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