Irreflexive modality as a new logical connective in the Dummett logic

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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Veröffentlicht in:Siberian mathematical journal 2014, Vol.55 (1), p.185-190
1. Verfasser: Yashin, A. D.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 .
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446614010212