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Lecture Notes in Computer Science
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 two natural classes of such logics. Moreover, we show that an entirely general completeness result is not possible. We study the expressive power of our language, contrasting it with both coalgebraic modal logic and existingdoi:10.1007/978-3-642-31585-5_29 fatcat:qtsjcom6jrfq7kfdiof634peou