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Model Theory and Proof Theory of Coalgebraic Predicate Logic
[article]
2018
arXiv
pre-print
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 logics. Moreover, we show that an entirely general completeness result is not possible. We study the expressive power of our language, both in comparison with coalgebraic hybrid logics and with existing
arXiv:1701.03773v3
fatcat:zu2zqndv4rb67e4wtsdyotylem