Non-uniformity - Some Background
نویسنده
چکیده
The conditional result we saw last time does much more than that. If we have a language in the uniform class E not in the non-uniform class SIZE(s(n)) then a PRG exists. I.e., there is a way to systematically replace random bits with pseudorandom bits such that no BPP algorithm will (substantially) notice the difference. Thus, not only it shows that all languages in BPP are in fact in P (or whatever deterministic class we get) but it also does that in an oblivious way. There is one recipe that is always good for replacing random bits used by BPP algorithms! One recipe to rule them all.
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