Axioms for classical, intuitionistic, and paraconsistent hybrid logic

Journal of Logic, Language and Information 15 (3):179-194 (2006)
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In this paper we give axiom systems for classical and intuitionistic hybrid logic. Our axiom systems can be extended with additional rules corresponding to conditions on the accessibility relation expressed by so-called geometric theories. In the classical case other axiomatisations than ours can be found in the literature but in the intuitionistic case no axiomatisations have been published. We consider plain intuitionistic hybrid logic as well as a hybridized version of the constructive and paraconsistent logic N4.



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Logic talk.Alexander W. Kocurek - 2021 - Synthese 199 (5-6):13661-13688.
Why does the proof-theory of hybrid logic work so well?Torben Braüner - 2007 - Journal of Applied Non-Classical Logics 17 (4):521-543.

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