A Lattice of Implicative Extensions of Regular Kleenes Logics

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A Lattice of Implicative Extensions of Regular Kleenes Logics

Tomova , Natalya

Reports on mathematical logic, 2012, 20120101 47

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The paper deals with functional properties of three-valued logics. We consider the family of regular three-valued Kleene’s logics (strong, weak, intermediate) and it’s extensions by adding an implicative connectives (“natural” implications). The main result of our paper is the lattice that describes the relations between implicative extensions of regular logics.

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