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1. (T4) Prove the language given below is decidable. Evens = {x | x is even} 2. (T5) Argue that the improved Turing machine model

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1. (T4) Prove the language given below is decidable. Evens = {x | x is even} 2. (T5) Argue that the "improved Turing machine model described below is not more powerful (in terms of computability) than a standard Turing machine. Consider a jumpy Turing machine which is like a normal Turing machine in every way except the read/write head must move either two places to the right or three places to the left each time. Argue a jumpy Turing machine is equivalent in computational power to a standard Turing machine

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