A constructive semantics for non-deducibility
β Scribed by Francesco Ciraulo
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 157 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
Abstract
This paper provides a constructive topological semantics for nonβdeducibility of a first order intuitionistic formula. Formal topology theory, in particular the recently introduced notion of a binary positivity predicate, and coβinduction are two needful tools. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
## Abstract The aim of the paper is to show that topoi are useful in the categorial analysis of the constructive logic with strong negation. In any topos Ο΅ we can distinguish an object Ξ and its truthβarrows such that sets Ο΅(__A__, Ξ) (for any object __A__) have a Nelson algebra structure. The obje