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If NP has Polynomial-Size Circuits, then MA = AM

Vikraman Arvind, Johannes Köbler, Uwe Schöning, and Rainer Schuler

Abstract:

It is shown that the assumption of NP having polynomial-size circuits implies (apart from a collapse of the polynomial-time hierarchy as shown by Karp and Lipton) that the classes AM and MA of Babai's Arthur-Merlin hierarchy coincide. This means that also a certain inner collapse of the remaining classes of the polynomial-time hierarchy occurs.

Ps-File: If NP has Polynomial-Size Circuits, then MA = AM
zuletzt geändert: 31.10.05 SK
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