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The Craig interpolation theorem for prepositional logics with strong negation
Authors:Valentin Goranko
Affiliation:(1) Faculty of Mathematics and Mechanics Section of Logic, Sofia University, 1126 Sofia, Bulgaria
Abstract:This paper deals with, prepositional calculi with strong negation (N-logics) in which the Craig interpolation theorem holds. N-logics are defined to be axiomatic strengthenings of the intuitionistic calculus enriched with a unary connective called strong negation. There exists continuum of N-logics, but the Craig interpolation theorem holds only in 14 of them.
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