Kripke semantics and proof systems for combining intuitionistic logic and classical logic
β Scribed by Chuck Liang; Dale Miller
- Book ID
- 119190954
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 357 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper we propose a new set of rules for a judgement calculus, i.e. a typed lambda calculus, based on Intuitionistic Linear Logic; these rules ease the problem of defining a suitable mathematical semantics. A proof of the canonical form theorem for this new system is given: it as
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
## 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