On the predicate logic of linear Kripke frames and some of its extensions

Studia Logica 81 (2):261 - 282 (2005)
We propose a new, rather simple and short proof of Kripke-completeness for the predicate variant of Dummett's logic. Also a family of Kripke-incomplete extensions of this logic that are complete w.r.t. Kripke frames with equality (or equivalently, w.r.t. Kripke sheaves [8]), is described.
Keywords Philosophy   Logic   Mathematical Logic and Foundations   Computational Linguistics
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Giovanna Corsi & Silvio Ghilardi (1989). Directed Frames. Archive for Mathematical Logic 29 (1):53-67.

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