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18th Annual IEEE Conference on Computational Complexity (CCC'03)
Are Cook and Karp Ever the Same?
Aarhus, Denmark
July 07-July 10
ISBN: 0-7695-1879-6
Richard Beigel, Temple University
Lance Fortnow, NEC Laboratories America
We consider the question whether there exists a set A such that every set polynomial-time Turing equivalent to A is also many-one equivalent to A. We show that if E = NE then no sparse set has this property. We give the first relativized world where there exists a set with this property, and in this world the set A is sparse.
Citation:
Richard Beigel, Lance Fortnow, "Are Cook and Karp Ever the Same?," ccc, pp.333, 18th Annual IEEE Conference on Computational Complexity (CCC'03), 2003
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