Irreflexive modality as a new logical connective in the Dummett logic

A. D. Yashin · Siberian Mathematical Journal · 2014

We give an example of a countable family of extensions of Dummett’s superintuitionistic logic LC in a language with one extra unary logical connective each of them defining a new logical connective in LC in the sense of Novikov, and every two logics in this family are incompatible over LC .

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