A New Pebble Game that Characterizes Parallel Complexity Classes

A new two-person pebble game that models parallel computations is defined. This game extends the two-person pebble game defined by Dymond and Tompa [J. Comput. System Sci., 30 (1985), pp. 149-161] and is used to characterize two natural parallel complexity classes, namely LOGCFL and ${\text{AC}}^1 $...

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Bibliographic Details
Published in:SIAM journal on computing Vol. 18; no. 3; pp. 533 - 549
Main Authors: Venkateswaran, H., Tompa, Martin
Format: Journal Article
Language:English
Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.06.1989
Subjects:
Algorithms
Applied sciences
Boolean
Circuits
Complexity theory
Computer science
Computer science; control theory; systems
Exact sciences and technology
Games
Language theory and syntactical analysis
Theoretical computing
Characterization
Pebble game
Complexity class
Language theory
Language class
Computer theory
Two person game
Parallelism
Modeling
Computing complexity
ISSN:0097-5397, 1095-7111
Online Access:Get full text
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Summary:A new two-person pebble game that models parallel computations is defined. This game extends the two-person pebble game defined by Dymond and Tompa [J. Comput. System Sci., 30 (1985), pp. 149-161] and is used to characterize two natural parallel complexity classes, namely LOGCFL and ${\text{AC}}^1 $. The characterizations show a fundamental way in which the computations in these two classes differ. This game model also unifies the proofs of some well-known results of complexity theory.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0097-5397
1095-7111
DOI:10.1137/0218036