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5. Two models M1, M2 of computation are said to be equivalent in power if and only if M1 can simulate M2 and M2 can simulate M1. See lecture 7 or discussion notes 4 for a (sketch of a) proof that 1-tape Turing machine is equivalent in power to a 2-tape Turing machine. Let a 37-6 Turing Machine be a Turing Machine that behaves exactly like our model from lecture, except that it can only move its tape head to the left or right by increments of 37 or 6, rather than by increments of 1. Show that a 37-6 TM is equivalent in power to a 1-tape Turing machine described in lecture

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