Predicate superintuitionistic logics without interpolation
โ Scribed by P. A. Shreiner
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 467 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In our previous paper [5], we have studied Kripke.type semantics, for propositional logics without the contraction rule. In this paper, we will extend our argument to predicate logics without the structure rules. Similarly to the propositional case, we can not carry out Henkin's construction in the
Craig interpolation theorem (which holds for intuitionistic logic) implies that the derivability of X; X โ Y implies existence of an interpolant I in the common language of X and X โ Y such that both X โ I and I; X โ Y are derivable. For classical logic this extends to X; X โ Y; Y , but for intuitio