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66
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COCO
1998
Springer
100views Algorithms» more  COCO 1998»
15 years 2 months ago
Uniformly Hard Languages
Ladner [18] showed that there are no minimal recursive sets under polynomial-time reductions. Given any recursive set A, Ladner constructs a set B such that B strictly reduces to ...
Rodney G. Downey, Lance Fortnow
ECCC
2006
116views more  ECCC 2006»
14 years 10 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
FSTTCS
2006
Springer
15 years 1 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
76
Voted
CJTCS
1999
133views more  CJTCS 1999»
14 years 9 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
FSTTCS
2004
Springer
15 years 3 months ago
Hardness Hypotheses, Derandomization, and Circuit Complexity
We consider hypotheses about nondeterministic computation that have been studied in different contexts and shown to have interesting consequences: • The measure hypothesis: NP d...
John M. Hitchcock, Aduri Pavan