Model theory for an extension of intuitionistic logic
β Scribed by Cecylia Rauszer
- Publisher
- Springer Netherlands
- Year
- 1977
- Tongue
- English
- Weight
- 718 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0039-3215
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## 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
We present a technique to extend a Kripke structure (for intuitionistic logic) into an elementary extension satisfying some property (cardinality, saturation, etc.) which can be "axiomatized" by a family of sets of sentences, where, most often, many constant symbols occur. To that end, we prove exte