Let A be a Turing-recognizable language consisting of descriptions of Turing machines, {M 1 , M 2

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Let A be a Turing-recognizable language consisting of descriptions of Turing machines, {〈M1〉, 〈M2〉, . . .}, where every Mi is a decider. Prove that some decidable language D is not decided by any decider Mi whose description appears in A. You may find it helpful to consider an enumerator for A.

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