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ICALP
1995
Springer
14 years 2 months ago
New Collapse Consequences of NP Having Small Circuits
We show that if a self-reducible set has polynomial-size circuits, then it is low for the probabilistic class ZPP(NP). As a consequence we get a deeper collapse of the polynomial-...
Johannes Köbler, Osamu Watanabe
STACS
2010
Springer
14 years 5 months ago
Collapsing and Separating Completeness Notions under Average-Case and Worst-Case Hypotheses
This paper presents the following results on sets that are complete for NP. (i) If there is a problem in NP that requires 2nΩ(1) time at almost all lengths, then every many-one N...
Xiaoyang Gu, John M. Hitchcock, Aduri Pavan