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» On uniform amplification of hardness in NP
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ECCC
2006
116views more  ECCC 2006»
13 years 11 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...
STOC
2005
ACM
145views Algorithms» more  STOC 2005»
14 years 11 months ago
On uniform amplification of hardness in NP
We continue the study of amplification of average-case complexity within NP, and we focus on the uniform case. We prove that if every problem in NP admits an efficient uniform alg...
Luca Trevisan
COCO
2008
Springer
95views Algorithms» more  COCO 2008»
14 years 19 days ago
Hardness Amplification within NP against Deterministic Algorithms
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant
Parikshit Gopalan, Venkatesan Guruswami
STOC
2002
ACM
117views Algorithms» more  STOC 2002»
14 years 11 months ago
Hardness amplification within NP
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant ? > 0 such that if there is some l...
Ryan O'Donnell
STOC
2004
ACM
86views Algorithms» more  STOC 2004»
14 years 11 months ago
Using nondeterminism to amplify hardness
We revisit the problem of hardness amplification in NP, as recently studied by O'Donnell (STOC `02). We prove that if NP has a balanced function f such that any circuit of si...
Alexander Healy, Salil P. Vadhan, Emanuele Viola