Relations Between Average-Case and Worst-Case Complexity

Aduri Pavan, N. V. Vinodchandran

Abstract: The consequences of the worst-case assumption NP = P are very well understood. On the other hand, we only know a few consequences of the average-case assumption “NP is easy on average.” In this paper we establish several new results on the worst-case complexity of Arthur-Merlin games (the class AM) under the average-case complexity assumption “NP is easy on average.”