A weakening of intuitionistic logic
β Scribed by Yu. N. Tolstova
- Publisher
- Springer US
- Year
- 1972
- Tongue
- English
- Weight
- 505 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
## Abstract We introduce a probabilistic extension of propositional intuitionistic logic. The logic allows making statements such as __P__~β₯__s__~Ξ±, with the intended meaning βthe probability of truthfulness of __Ξ±__ is at least __s__β. We describe the corresponding class of models, which are Kripk
## Abstract Dualβintuitionistic logics are logics proposed by Czermak (1977), Goodman (1981) and Urbas (1996). It is shown in this paper that there is a correspondence between Goodman's dualβintuitionistic logic and Nelson's constructive logic N^β^.
In Iemho (J. Symbolic Logic, to appear) we gave a countable basis V for the admissible rules of IPC . Here, we show that there is no proper superintuitionistic logic with the disjunction property for which all rules in V are admissible. This shows that, relative to the disjunction property, IPC is m