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On the Predicate Logic of Linear Kripke Frames and some of its Extensions
Authors:Email author" target="_blank">Dmitrij?SkvortsovEmail author
Institution:(1) All-Russian Institute of Scientific and Technical Information, Molodogvardejskaja 22, korp.3, kv.29, 121351 Moscow, Russia
Abstract: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:Intermediate predicate logics  Kripke semantics  Kripke sheaves  completeness and incompleteness
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