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GRE Computer Science Question 24

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Apr 1, 2012
2:40

24. Let M0 , M1, M2 , . . . , be an effective enumeration of all Turing machines. Which of the following problems is (are) decidable? I. Given a natural number n, does Mn starting with an empty tape halt in fewer than n steps? II. Given a natural number n, does Mn starting with an empty tape halt in exactly n steps? III. Given a natural number n, does Mn starting with an empty tape halt after at least n steps? (A) I only (B) II only (C) III only (D) I and II (E) I and III

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