Mathematical Logic Quarterly 50 (2):202-210 (2004)

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
Keywords tableau calculus  disjunction property  propositional second order logic  explicit definability property  Intuitionistic logic
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DOI 10.1002/malq.200310090
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Non-Axiomatizable Second Order Intuitionistic Propositional Logic.D. Skvortsov - 1997 - Annals of Pure and Applied Logic 86 (1):33-46.

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