Geodesic
Intuitionistic Double Negation as a Necessity Operator
Publications de l'Institut Mathématique, _N_S_35 (1984) no. 49, p. 15

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An intuitionistic propositional modal logic in which we have a necessity operator equivalent to intuitionistic double negation is proved sound and complete with respect to Kripke-style models with two relations, one intuitionistic and the other modal. It is shown how the holding of formulae characteristic for this logic is equivalent to conditions for the relations of the models.
Classification : 03B45 
@article{PIM_1984_N_S_35_49_a1,
     author = {Kosta Do\v{s}en},
     title = {Intuitionistic {Double} {Negation} as a {Necessity} {Operator}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {15 },
     publisher = {mathdoc},
     volume = {_N_S_35},
     number = {49},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1984_N_S_35_49_a1/}
}
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Kosta Došen. Intuitionistic Double Negation as a Necessity Operator. Publications de l'Institut Mathématique, _N_S_35 (1984) no. 49, p. 15 . http://geodesic.mathdoc.fr/item/PIM_1984_N_S_35_49_a1/