Monotone Circuits: One-Way Functions versus Pseudorandom Generators

摘要

We study the computability of one-way functions and pseudorandom generators by monotone circuits, showing a substantial gap between the two:On one hand, there exist one-way functions that are computable by (uniform) polynomial-size monotone functions, provided (of course)that one-way functions exist at all.On the other hand, no monotone function can be a pseudorandom generator.