EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 35(49), pp. 21--31 (1984)

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POSITIVE LOGIC WITH DOUBLE NEGATION

Milan Bozi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: The fragment of the Heyting propositional calculus which contains double negation but does not contain negation is axiomatized by treating double negation as a necessity operator. The resulting system is shown sound and complete with respect to a specific class of Kripke-style models with two accessibility relations, one intuitionistic and the other modal.

Classification (MSC2000): 03B45

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