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The News of Altai State University
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1-1(65)2010
Mathematics and Mechanics

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V.A. Ganov

Calculations with the Oracle and the Restriction on the Dialog

The article is focused on the calculations on machine with the oracle working with the restriction on the quantity of questions. The oracle FO is constructed that solves the problem of the so-called stop of the machines operating with FO. The fundamental principles of programming and the analogous properties of hyperarithmetical functions are realized for the calculable functions with oracle FO. On the contrary the class of arithmetical sets of integers contains the class of FO - enumerable sets.

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