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On the Existence of Continua of Logics Between Some Intermediate Predicate Logics
Authors:Skvortsov  D
Abstract:A method for constructing continua of logics squeezed between some intermediate predicate logics, developed by Suzuki 8], is modified and applied to intervals of the form L, L+ ¬¬S], where Lis a predicate logic, Sis a closed predicate formula. This solves one of the problems from Suzuki's paper.
Keywords:intermediate predicate logics  cardinality  Kripke-type semantics  Jankov formulas
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