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A constructive semantics for non-deducibility

✍ 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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✦ Synopsis


Abstract

This paper provides a constructive topological semantics for non‐deducibility of a first order intuitionistic formula. Formal topology theory, in particular the recently introduced notion of a binary positivity predicate, and co‐induction are two needful tools. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


πŸ“œ SIMILAR VOLUMES


TOPOS BASED SEMANTIC FOR CONSTRUCTIVE LO
✍ Barbara Klunder; B. Klunder πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 510 KB

## 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 truth‐arrows such that sets Ο΅(__A__, Ξ›) (for any object __A__) have a Nelson algebra structure. The obje