How can one Turing machine serve as a subroutine for another Turing machine, and what are the advantages of this approach?

A Turing machine is a theoretical device that models the computation of a function. It consists of an infinite tape divided into cells, a read/write head that can move along the tape, and a control unit that determines the machine's behavior. Turing machines are widely used in computational complexity theory to analyze the efficiency and

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