Paraconsistency in Categories: Case of Relevance Logic

Studia Logica 98 (3):429-443 (2011)
Abstract
Categorical-theoretic semantics for the relevance logic is proposed which is based on the construction of the topos of functors from a relevant algebra (considered as a preorder category endowed with the special endofunctors) in the category of sets Set. The completeness of the relevant system R of entailment is proved in respect to the semantic considered
Keywords Toposes  relevant algebra   RN-categories  topos of functors  interpretation of the relevance logic in topos  completeness of the logic RL
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References found in this work BETA
Chris Mortensen, Inconsistent Mathematics. Stanford Encyclopedia of Philosophy.
Agustin Riscos & Luis M. Laita (1987). N‐Categories in Logic. Mathematical Logic Quarterly 33 (6):507-516.
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