Geodesic
A system of intuitionistic analysis that is equivalent to classical analysis
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 41-44

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We study a principle of the relativized bar-induction. This principle together with the basic Kleene system forms a neutral system equivalent to the classical analysis. 
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     author = {M. R. Kovtun},
     title = {A system of intuitionistic analysis that is equivalent to classical analysis},
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M. R. Kovtun. A system of intuitionistic analysis that is equivalent to classical analysis. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 41-44. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a10/