Turing machine interaction problem

Abstract

The article introduces some ideas for solving special cases of the following problem, proposed in a somewhat generalized form by Marcus Hutter in 2000. Given two Turing machines A and C, it is required to build a Turing machine B, such that after interacting of A and B on a shared tape for a fixed number of iterations, the machine C outputs 1 on the communication protocol of A and B. Details in the introduction.

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