Constructive mathematical theories consistent with classical logic
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of the constructive direction in mathematics. Part 4, Tome 93 (1967), pp. 113-122.

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@article{TM_1967_93_a6,
     author = {V. A. Lifshits},
     title = {Constructive mathematical theories consistent with classical logic},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {113--122},
     publisher = {mathdoc},
     volume = {93},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1967_93_a6/}
}
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V. A. Lifshits. Constructive mathematical theories consistent with classical logic. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of the constructive direction in mathematics. Part 4, Tome 93 (1967), pp. 113-122. http://geodesic.mathdoc.fr/item/TM_1967_93_a6/