The semaphore codes attached to a Turing machine via resets and their various limits

We introduce semaphore codes associated to a Turing machine via resets. Semaphore codes provide an approximation theory for resets. In this paper we generalize the set-up of our previous paper "Random walks on semaphore codes and delay de Bruijn semigroups" to the infinite case by taking the profinite limit of $k$-resets to obtain $(-ω)$-resets. We mention how this opens new avenues to attack the P versus NP problem.

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