Abstract
It's one of the fundamental mathematical problems of our time, and its importance grows with the rise of powerful computers.
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Index Terms
- The status of the P versus NP problem
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S^p _2 \subseteq ZPP^{NP}
FOCS '01: Proceedings of the 42nd IEEE symposium on Foundations of Computer ScienceWe show that the class S_2^p is a subclass of ZPPNP. The proof uses universal hashing, approximate counting and witness sampling. As a consequence, a collapse first noticed by Samik Sengupta that the assumption NP has small circuits collapses PH to S_2^...
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