Title
Adaptive Logspace Reducibility and Parallel Time
Abstract
We discuss two notions of functional oracle for logarithmic space-bounded machines, which differ in whether there is only one oracle tape for both the query and the answer or a separate tape for the answer, which can still be read while the next query is already being constructed. The first notion turns out to be basically nonadaptive, behaving like access to an oracle set. The second notion, on the other hand, is adaptive. By imposing appropriate bounds on the number of functional oracle queries made in this computation model, we obtain new characterizations of the NC and AC hierarchies; thus the number of oracle queries can be considered as a measure of parallel time. Using this characterization of parallel classes, we solve open questions of Wilson.
Year
DOI
Venue
1995
10.1007/BF01191473
Mathematical Systems Theory
Keywords
Field
DocType
Computation Model,Computational Mathematic,Parallel Classis,Parallel Time,Oracle Query
Discrete mathematics,Combinatorics,Oracle,Random oracle,Theoretical computer science,Logarithm,Hierarchy,Mathematics,Computation
Journal
Volume
Issue
ISSN
28
2
0025-5661
Citations 
PageRank 
References 
7
0.79
12
Authors
3
Name
Order
Citations
PageRank
Carme Àlvarez131628.75
José L. Balcázar270162.06
Birgit Jenner324714.47