Question: 2. Prove that the language L = {(M) M when started on the blank tape, eventually writes a $ somewhere on the tape) is undecidable.

2. Prove that the language L = {(M) M when started

2. Prove that the language L = {(M) M when started on the blank tape, eventually writes a $ somewhere on the tape) is undecidable. Use the undecidability of ATM to do this. Le., give a computable reductiion f such that f((M.w)) (Mi). Prove that f is computable and that M.u) "M iff (Mi) E L

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