Title
On the complexity of the recognition of parallel 2D-image languages
Abstract
We investigate the complexity of images generated by a class of parallel context-free image grammars. We show that the sequential time complexity of the recognition of n x n images generated by parallel context-free grammars is O(M(n)), where M(n) is the time to multiply two boolean n x n matrices. Using a parallel random access machine the recognition can be done in O(log2(n)) time with n6 processors. Hence the complexity is essentially the same as the complexity of the recognition of ordinary context-free languages.
Year
DOI
Venue
1991
10.1016/0020-0190(91)90063-N
Inf. Process. Lett.
Keywords
Field
DocType
PARALLEL ALGORITHMS, IMAGES, CONTEXT-FREE GRAMMARS
Rule-based machine translation,Discrete mathematics,Sequential time,Combinatorics,Context-free grammar,Algorithm complexity,Parallel random-access machine,Parallel algorithm,Computer science,Matrix (mathematics),Time complexity
Journal
Volume
Issue
ISSN
38
5
0020-0190
Citations 
PageRank 
References 
2
0.36
2
Authors
2
Name
Order
Citations
PageRank
wojciech rytter113017.13
A. Saoudi220.36