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COCO
1998
Springer
100views Algorithms» more  COCO 1998»
13 years 11 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»
13 years 7 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
13 years 10 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
CJTCS
1999
133views more  CJTCS 1999»
13 years 6 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
14 years 8 days 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