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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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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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Completeness for the coalgebraic cover modality

Clemens Kupke ; Alexander Kurz ; Yde Venema.

We study the finitary version of the coalgebraic logic introduced by L. Moss. The syntax of this logic, which is introduced uniformly with respect to a coalgebraic type functor, required to preserve weak pullbacks, extends that of classical propositional logic with a so-called coalgebraic cover&nbsp;[&hellip;]

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EXPTIME Tableaux for the Coalgebraic mu-Calculus

Corina Cirstea ; Clemens Kupke ; Dirk Pattinson.

The coalgebraic approach to modal logic provides a uniform framework that captures the semantics of a large class of structurally different modal logics, including e.g. graded and probabilistic modal logics and coalition logic. In this paper, we introduce the coalgebraic mu-calculus, an extension of&nbsp;[&hellip;]

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Stream Differential Equations: Specification Formats and Solution Methods

Helle Hvid Hansen ; Clemens Kupke ; Jan Rutten.

Streams, or infinite sequences, are infinite objects of a very simple type, yet they have a rich theory partly due to their ubiquity in mathematics and computer science. Stream differential equations are a coinductive method for specifying streams and stream operations, and their theory has been&nbsp;[&hellip;]

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