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Prove the Entscheidungsproblem has no solution. Let LD(TM) be the decidable languages and LR
(TM) be the recognizable languages. We know that LD(TM) LR(TM) by definition. Prove that there
exists a language in LR(TM)LD(TM) by diagonalization. Hint: The proof idea is that you construct
some language "diagonally", show it cannot be equal to any language in LD(TM), and by its
construction, must be in LR(TM).

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