Paraconsistency in Categories: Case of Relevance Logic

Studia Logica 98 (3):429-443 (2011)
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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DOI 10.1007/s11225-011-9342-2
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Duality for Algebras of Relevant Logics.Alasdair Urquhart - 1996 - Studia Logica 56 (1-2):263 - 276.
N‐Categories in Logic.Agustin Riscos & Luis M. Laita - 1987 - Mathematical Logic Quarterly 33 (6):507-516.

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