Ideal Paraconsistent Logics

Studia Logica 99 (1-3):31-60 (2011)
We define in precise terms the basic properties that an ‘ideal propositional paraconsistent logic’ is expected to have, and investigate the relations between them. This leads to a precise characterization of ideal propositional paraconsistent logics. We show that every three-valued paraconsistent logic which is contained in classical logic, and has a proper implication connective, is ideal. Then we show that for every n > 2 there exists an extensive family of ideal n -valued logics, each one of which is not equivalent to any k -valued logic with k < n.
Keywords Paraconsistent logics  ideal paraconsistency  many-valued logics
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DOI 10.1007/s11225-011-9346-y
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References found in this work BETA
Newton C. A. Da Costa (1974). On the Theory of Inconsistent Formal Systems. Notre Dame Journal of Formal Logic 15 (4):497-510.

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