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No better ways to generate hard NP instances than picking uniformly at random

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2 Author(s)
Impagliazzo, R. ; Department of Computer Science, Toronto University , Toronto, Ont., Canada ; Levin, L.A.

Distributed NP (DNP) problems are ones supplied with probability distributions of instances. It is shown that every DNP problem complete for P-time computable distributions is also complete for all distributions that can be sampled. This result makes the concept of average-case NP completeness robust and the question of the average-case complexity of complete DNP problems a natural alternative to P=?NP. Similar techniques yield a connection between cryptography and learning theory.

Published in:

Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on

Date of Conference:

22-24 Oct. 1990