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A sequential variant of the arithmetical system of R.~Robinson that does not contain cut type rules
Informatics and Automation, Logical and logical-mathematical calculus. Part 2, Tome 121 (1972), pp. 109-135

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     author = {A. Y. Plushkevichene},
     title = {A sequential variant of the arithmetical system of {R.~Robinson} that does not contain cut type rules},
     journal = {Informatics and Automation},
     pages = {109--135},
     publisher = {mathdoc},
     volume = {121},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1972_121_a6/}
}
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A. Y. Plushkevichene. A sequential variant of the arithmetical system of R.~Robinson that does not contain cut type rules. Informatics and Automation, Logical and logical-mathematical calculus. Part 2, Tome 121 (1972), pp. 109-135. http://geodesic.mathdoc.fr/item/TRSPY_1972_121_a6/