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Questions about problems which cannot be solved by any Turing machine.
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Can a Turing machine decide the language $L_\emptyset$ of machines with empty language?
Proof by contradicting $A_{TM}= \{\langle M,w\rangle \mid M \text{ is a Turing Machine which accepts w}\}$, (which we know is undecidable).
Assume the existence of $R_{TM}$, a TM that decides $L_\emp …