Theory Seminar: Nearly Optimal Pseudorandomness From Hardness

דין דורון (אונ' סטנפורד)
יום רביעי, 18.12.2019, 12:30
טאוב 201

Existing proofs that deduce P=BPP from circuit lower bounds convert randomized algorithms to deterministic ones with a large polynomial slowdown in running time. In this talk, I will show that if we assume exponential lower bounds against nondeterministic circuits, we can convert any randomized algorithm running in time T to a deterministic one running in time T^{2+} for an arbitrarily small constant . Under complexity-theoretic assumptions, such a slowdown is nearly optimal.

Our result follows from a new pseudorandom generator whose construction uses, among other ideas, a new connection between pseudoentropy generators and locally list-recoverable codes.

Joint work with Dana Moshkovitz, Justin Oh and David Zuckerman

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