Question: [28] Deep strings are not easy to identify, but can be constructed by diagonalization. Prove that the following program finds a string which is (d,

[28] Deep strings are not easy to identify, but can be constructed by diagonalization. Prove that the following program finds a string which is

(d, b)-deep for every significance parameter b ≥ n − K

(d) − O(log n):

“Find all x of length n such that Qd U (x) > 2−n; print the first string that is not in this set.”

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