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A secondary semantics for Second Order Intuitionistic Propositional Logic
Authors:Mauro Ferrari  Camillo Fiorentini  Guido Fiorino
Abstract:In this paper we propose a Kripke‐style semantics for second order intuitionistic propositional logic and we provide a semantical proof of the disjunction and the explicit definability property. Moreover, we provide a tableau calculus which is sound and complete with respect to such a semantics. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Intuitionistic logic  propositional second order logic  tableau calculus  disjunction property  explicit definability property
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