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3. What's wrong with this proof that T is undecidable? Let T M is a TM that accepts wR whenever it accepts w) Proof: For

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3. What's wrong with this proof that T is undecidable? Let T M is a TM that accepts wR whenever it accepts w) Proof: For any M, w > let Mi be the TM which takes as input string . If xu, then M rejects. . If x = u, then M1 runs like M on input u, and accepts if M does. Now we construct TM V to decide ATM. Let R be a hypothetical TM which decides T. V has input and does the following: UsesM, w > to output . Runs R on If R accepts, V rejects; if R rejects, V accepts. If R decides if L(M) E T, then V decides ATM. Therefore R can't exist and T is undecidable. What's wrong with this proof? Be as explicit as you can

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