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An Inferentially Many-Valued Two-Dimensional Notion of Entailment

Carolina BlasioJoão MarcosHeinrich Wansing — 2017

Bulletin of the Section of Logic

Starting from the notions of q-entailment and p-entailment, a two-dimensional notion of entailment is developed with respect to certain generalized q-matrices referred to as B-matrices. After showing that every purely monotonic singleconclusion consequence relation is characterized by a class of B-matrices with respect to q-entailment as well as with respect to p-entailment, it is observed that, as a result, every such consequence relation has an inferentially four-valued characterization. Next,...

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