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SIAMCOMP
2010
88views more  SIAMCOMP 2010»
13 years 1 days 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
2006
116views more  ECCC 2006»
13 years 5 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...
ICFEM
2009
Springer
13 years 12 months ago
Circular Coinduction with Special Contexts
Coinductive proofs of behavioral equivalence often require human ingenuity, in that one is expected to provide a “good” relation extending one’s goal with additional lemmas, ...
Dorel Lucanu, Grigore Rosu