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D-sets, δ-sets, and unsolvable problems in discrete control

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Abstract

Certain generalizations of the point set notion stipulated by a Pressburger arithmetic formula are introduced. It is shown that the generalizations lead to unsolvable problems. The unsolvabilities which are obtained are interpreted using models of discrete control problems and in a certain fairly general class of multistep games.

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Authors and Affiliations

  1. Scientific-Research Institute of Applied Mathematics and Cybernetics, Gor'kii University, USSR

    D. I. Kogan

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  1. D. I. Kogan
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 15, No. 3, pp. 358–364, March, 1972.

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Kogan, D.I. D-sets, δ-sets, and unsolvable problems in discrete control. Radiophys Quantum Electron 15, 266–270 (1972). https://doi.org/10.1007/BF02210665

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  • DOI: https://doi.org/10.1007/BF02210665

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