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Representations of Stream Processors Using Nested Fixed Points

Neil Ghani ; Peter Hancock ; Dirk Pattinson.

We define representations of continuous functions on infinite streams of discrete values, both in the case of discrete-valued functions, and in the case of stream-valued functions. We define also an operation on the representations of two continuous functions between streams that yields a&nbsp;[&hellip;]

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Model Theory and Proof Theory of Coalgebraic Predicate Logic

Tadeusz Litak ; Dirk Pattinson ; Katsuhiko Sano ; Lutz Schröder.

We propose a generalization of first-order logic originating in a neglected work by C.C. Chang: a natural and generic correspondence language for any types of structures which can be recast as Set-coalgebras. We discuss axiomatization and completeness results for several natural classes of such&nbsp;[&hellip;]

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Modal meet-implication logic

Jim de Groot ; Dirk Pattinson.

We extend the meet-implication fragment of propositional intuitionistic logic with a meet-preserving modality. We give semantics based on semilattices and a duality result with a suitable notion of descriptive frame. As a consequence we obtain completeness and identify a common (modal) fragment of a&nbsp;[&hellip;]

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