A Lattice of Implicative Extensions of Regular Kleene's Logics

Natalya E. Tomova · Reports on Mathematical Logic · 2012

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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