Geodesic
New operations in intuitionistic calculus
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 23-28

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The question is studied of the possibility of extending the intuitionistic propositional calculus by adding single-valued one-place operations which are not expressible in terms of conjunction, disjunction, implication, or negation. There is constructed a system of correct calculi with new single-valued operations which is isomorphic to the family of proper extensions of the intuitionistic propositional calculus. 
@article{MZM_1977_22_1_a2,
     author = {A. V. Bessonov},
     title = {New operations in intuitionistic calculus},
     journal = {Matemati\v{c}eskie zametki},
     pages = {23--28},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a2/}
}
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A. V. Bessonov. New operations in intuitionistic calculus. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 23-28. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a2/