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. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.
Ferrari, M., Fiorentini, C., Fiorino, G. (2004). A secondary semantics for second order intuitionistic propositional logic. MATHEMATICAL LOGIC QUARTERLY, 50(2), 202-210 [10.1002/malq.200310090].
A secondary semantics for second order intuitionistic propositional logic
FIORINO, GUIDO GIUSEPPE
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. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.
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