A formal system of negationless arithmetic that is conservative with respect to heyting arithmetic
Matematičeskie zametki, Tome 36 (1984) no. 4, pp. 583-592.

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     author = {V. N. Krivtsov},
     title = {A formal system of negationless arithmetic that is conservative with respect to heyting arithmetic},
     journal = {Matemati\v{c}eskie zametki},
     pages = {583--592},
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V. N. Krivtsov. A formal system of negationless arithmetic that is conservative with respect to heyting arithmetic. Matematičeskie zametki, Tome 36 (1984) no. 4, pp. 583-592. http://geodesic.mathdoc.fr/item/MZM_1984_36_4_a11/