Quantified extensions of canonical propositional intermediate logics

Studia Logica 51 (2):195 - 214 (1992)
Abstract
The quantified extension of a canonical prepositional intermediate logic is complete with respect to the generalization of Kripke semantics taking into consideration set-valued functors defined on a category.
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DOI 10.1007/BF00370113
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Incompleteness Results in Kripke Semantics.Silvio Ghilardi - 1991 - Journal of Symbolic Logic 56 (2):517-538.

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First-Order Intensional Logic.Melvin Fitting - 2004 - Annals of Pure and Applied Logic 127 (1-3):171-193.

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