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Register machines with counters

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Abstract

Register machines with counters (RC machines) are studied. It is shown that any computable function can be strictly computed on RC machines with a bounded number of counters and programs. The place in the Kleene–Mostowski hierarchy of certain algorithmic problems related to RC machines is determined.

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References

  1. A. P. Bel’tyukov, J. Sov. Math. 20 (4), 2280–2289 (1982).

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  2. I. V. Savitskii, Diskret. Mat. 29 (1), 95–113 (2017).

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    I. V. Savitskii

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  1. I. V. Savitskii
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Correspondence to I. V. Savitskii.

Additional information

Original Russian Text © I.V. Savitskii, 2017, published in Doklady Akademii Nauk, 2017, Vol. 476, No. 4, pp. 387–388.

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Savitskii, I.V. Register machines with counters. Dokl. Math. 96, 486–487 (2017). https://doi.org/10.1134/S1064562417050222

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  • DOI: https://doi.org/10.1134/S1064562417050222

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