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9. (10 points, Extra Credit) Difficult Beyond Recognition. Let N be any fixed Turing Machine whose language is neither , nor *. Let X be
9. (10 points, Extra Credit) Difficult Beyond Recognition. Let N be any fixed Turing Machine whose language is neither , nor *. Let X be N's equivalence class for the relation of having the same language; that is, X {M : L(M) = L(N)}. We know by Rice's Theorem that X is not decidable, 1-1 Homework 1 1-2 since it is a nontrivial property of languages. Since the TMs with empty languages are not in X, we know by the proof on Slide 19 of Lecture 6.5 that X is not co-Turing-recognizable. Is is possible for X to be recognizable? Prove your
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