Title
If NP has polynomial-size circuits, then MA=AM
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. Thismeans that also a certain inner collapse of the remaining classes of the polynomialtimehierarchy occurs.It is well known [KL80] that the assumption of NP having polynomial-size circuits(in symbols NP ` P=poly) implies that the polynomial-time hierarchy...
Year
DOI
Venue
1995
10.1016/0304-3975(95)91133-B
Theoretical Computer Science
Keywords
DocType
Volume
polynomial-size circuit
Journal
137
Issue
ISSN
Citations 
2
Theoretical Computer Science
9
PageRank 
References 
Authors
0.62
6
4
Name
Order
Citations
PageRank
Vikraman Arvind129638.18
Johannes Köbler258046.51
Uwe Schöning3998105.69
Rainer Schuler490.62