The Basic Constructive Logic for Absolute Consistency
In this paper, consistency is understood as absolute consistency (i.e. non-triviality). The basic constructive logic BKc6, which is adequate to this sense of consistency in the ternary relational semantics without a set of designated points, is defined. Then, it is shown how to define a series of logics by extending BKc6 up to contractionless intuitionistic logic. All logics defined in this paper are paraconsistent logics.
KeywordsConstructive negation Substructural logics Ternary relational semantics Paraconsistent logic
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