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SIAMCOMP
2010
88views more  SIAMCOMP 2010»
12 years 11 months ago
Hardness Amplification Proofs Require Majority
Hardness amplification is the fundamental task of converting a -hard function f : {0, 1}n {0, 1} into a (1/2 - )-hard function Amp(f), where f is -hard if small circuits fail to c...
Ronen Shaltiel, Emanuele Viola
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 2 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
TCC
2009
Springer
141views Cryptology» more  TCC 2009»
14 years 5 months ago
Proofs of Retrievability via Hardness Amplification
Proofs of Retrievability (PoR), introduced by Juels and Kaliski [JK07], allow the client to store a file F on an untrusted server, and later run an efficient audit protocol in whi...
Yevgeniy Dodis, Salil P. Vadhan, Daniel Wichs
ECCC
2010
80views more  ECCC 2010»
13 years 4 months ago
Query Complexity in Errorless Hardness Amplification
An errorless circuit for a boolean function is one that outputs the correct answer or "don't know" on each input (and never outputs the wrong answer). The goal of e...
Thomas Watson
TIT
2008
116views more  TIT 2008»
13 years 4 months ago
On the Complexity of Hardness Amplification
We study the task of transforming a hard function f, with which any small circuit disagrees on (1 - )/2 fraction of the input, into a harder function f , with which any small circ...
Chi-Jen Lu, Shi-Chun Tsai, Hsin-Lung Wu