Technical Report CS0531

Title: Towards a Theory of Average Case Complexity
Authors: Oded Goldreich
Abstract: The purpose of this manuscript is to provide a survey of basic notions and results concerning a theory average case complexity initiated by Leonid Levin.

This survey is mainly based on Levin's paper "Average Case complete Problems" [L], and expositions of it due to Johnson [J], Gurevich and McCauley [GMc]. Further developments due to Gurevich [G] and others are also briefly discussed.

This is a preliminary version of the survey. I am aware of some improvements in presentation which I did not implement yet. So I'd like to apologize to the reader for presenting him with something I know to be less than good. Nevertheless, comments are most welcome.

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