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Model theory for an extension of intuitionistic logic

✍ 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 β€œthe probability of truthfulness of __Ξ±__ is at least __s__”. We describe the corresponding class of models, which are Kripk

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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