Geodesic
The calculus of the weak “Law of excluded middle”
Izvestiya. Mathematics, Tome 2 (1968) no. 5, pp. 997-1004 
V. A. Yankov. The calculus of the weak “Law of excluded middle”. Izvestiya. Mathematics, Tome 2 (1968) no. 5, pp. 997-1004. http://geodesic.mathdoc.fr/item/IM2_1968_2_5_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a superintuitionistic propositional calculus with an additional axiom.

[1] Yankov V. A., “O nekotorykh superkonstruktivnykh ischisleniyakh vyskazyvanii”, Dokl. AN SSSR, 151:4 (1963), 795–798

[2] Rasiowa H., Sikorski R., The mathematics of the metamathematics, Warszawa, 1963

[3] Yankov V. A., “O svyazi mezhdu vyvodimostyu v intuitsionistskom ischislenii vyskazyvanii i konechnymi implikativnymi strukturami”, Dokl. AN SSSR, 451:6 (1963), 1293–1294

[4] Rose G. F.,, “Proposltional calculus and realizability”, Trans. Amer. Math. Soc., 75 (1953), 1–19 | DOI | MR | Zbl