Question: [31] There are sets with hard instance complexity everywhere. In particular, prove that there is a set A computable in 2O(n) time such that for

[31] There are sets with hard instance complexity everywhere.

In particular, prove that there is a set A computable in 2O(n) time such that for some constant c and for all x, icexp(x : A) ≥ Cexp

(x) − 2 log Cexp

(x) − c, where exp(n)=2n and exp

(n) = O(n22n).

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