Title
The power of the middle bit
Abstract
The class of languages that can be recognized in polynomial time with the additional information of one bit from a P function is studied. In particular, it is shown that every ModkP class and every class contained in PH are low for this class. These results are translated to the area of circuit complexity using MidBit (middle bit) gates. It is shown that every language in ACC can be computed by a family of depth-2 deterministic circuits of size 2 to the (log n)c power with a MidBit gate at the root and AND-gates of fan-in (log n)c at the leaves. This result improves the known upper bounds for the class ACC
Year
DOI
Venue
1992
10.1109/SCT.1992.215386
Boston, MA
Keywords
DocType
ISBN
computational complexity,logic circuits,logic gates,ACC language,AND-gates,MidBit gate,ModkP class,PH,circuit complexity,depth-2 deterministic circuits,fan-in,middle bit gates,polynomial time recognition,size 2 deterministic circuits,upper bounds
Conference
0-8186-2955-X
Citations 
PageRank 
References 
13
1.62
15
Authors
3
Name
Order
Citations
PageRank
Frederic Green1131.62
Johannes Köbler258046.51
Jacobo Torán356449.26