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Random strings make hard instances


Author(s) : Pekka Orponen Harry Buhrman, 
Publisher : N/A
Publication Date : 1994
ISSN : N/A
Abstract : We establish the truth of the "instance complexity conjecture " in the case of DEXT-complete sets w.r.t. polynomial time computations, and r.e. complete sets w.r.t. recursive computations. Specifically, we obtain for every DEXT-complete set A an exponentially dense subset C such that for every nondecreasing polynomial t(n) =!(n log n), ic t,