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Subformula semantics for strong negation systems

✍ Scribed by Seiki Akama


Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
421 KB
Volume
19
Category
Article
ISSN
0022-3611

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## 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

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Mter arguing that in the knowledge acquisition framework experts cannot always supply a precise semantics for the linguistic labels they use, we show that negation functions over an ordered set of linguistics labels induce a semantics. We study the semantics induced by classical negation, functions