Sciweavers

FOCS
2003
IEEE

On Worst-Case to Average-Case Reductions for NP Problems

14 years 4 months ago
On Worst-Case to Average-Case Reductions for NP Problems
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy collapses to the third level. Feigenbaum and Fortnow (SICOMP 22:994-1005, 1993) show the same conclusion under the stronger assumption that an NP-complete problem has a non-adaptive random self-reduction. Our result shows that the average-case hardness of a problem in NP or the security of a oneway function cannot be based (using non-adaptive reductions) on the worst-case complexity of an NP-complete problem (unless the polynomial hierarchy collapses).
Andrej Bogdanov, Luca Trevisan
Added 04 Jul 2010
Updated 04 Jul 2010
Type Conference
Year 2003
Where FOCS
Authors Andrej Bogdanov, Luca Trevisan
Comments (0)