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.
A secondary semantics for second order intuitionistic propositional logic / M. Ferrari, C. Fiorentini, G. Fiorino. - In: MATHEMATICAL LOGIC QUARTERLY. - ISSN 0942-5616. - 50:2(2004), pp. 202-210.
A secondary semantics for second order intuitionistic propositional logic
C. Fiorentini;
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.File in questo prodotto:
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