STOC2022
Robustness of average-case meta-complexity via pseudorandomness
Rahul Ilango, Hanlin Ren, Rahul Santhanam
13 citations
Abstract
We show broad equivalences in the average-case complexity of many different meta-complexity problems, including Kolmogorov complexity, time-bounded Kolmogorov complexity, and the Minimum Circuit Size Problem. These results hold for a wide range of parameters (various thresholds, approximation gaps, weak or strong average-case hardness, etc.) and complexity notions, showing the theory of meta-complexity is very robust in the average-case setting.