Theory of Computing ------------------- Title : Monotone Circuits: One-Way Functions versus Pseudorandom Generators Authors : Oded Goldreich and Rani Izsak Volume : 8 Number : 10 Pages : 231-238 URL : https://theoryofcomputing.org/articles/v008a010 Abstract -------- 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.