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...
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...