## Abstract In this paper we propose a Kripkeβstyle 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 s
A Bounded Translation of Intuitionistic Propositional Logic into Basic Propositional Logic
β Scribed by Mojtaba Aghaei; Mohammad Ardeshir
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 175 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0044-3050
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## Abstract The main purpose of this note is to characterize consistency of logic theories in propositional logic by means of topological concept. Based on the concepts of truth degree of formulas and similarity degree between formulas the concept of logic metric space has been proposed by the firs