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Algorithmics on SLP-compressed strings: A survey

Algorithmics on SLP-compressed strings: A survey Abstract. Results on algorithmic problems on strings that are given in a compressed form via straight-line programs are surveyed. A straight-line program is a context-free grammar that generates exactly one string. In this way, exponential compression rates can be achieved. Among others, we study pattern matching for compressed strings, membership problems for compressed strings in various kinds of formal languages, and the problem of querying compressed strings. Applications in combinatorial group theory and computational topology and to the solution of word equations are discussed as well. Finally, extensions to compressed trees and pictures are considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups - Complexity - Cryptology de Gruyter

Algorithmics on SLP-compressed strings: A survey

Groups - Complexity - Cryptology , Volume 4 (2) – Dec 1, 2012

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Publisher
de Gruyter
Copyright
Copyright © 2012 by the
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/gcc-2012-0016
Publisher site
See Article on Publisher Site

Abstract

Abstract. Results on algorithmic problems on strings that are given in a compressed form via straight-line programs are surveyed. A straight-line program is a context-free grammar that generates exactly one string. In this way, exponential compression rates can be achieved. Among others, we study pattern matching for compressed strings, membership problems for compressed strings in various kinds of formal languages, and the problem of querying compressed strings. Applications in combinatorial group theory and computational topology and to the solution of word equations are discussed as well. Finally, extensions to compressed trees and pictures are considered.

Journal

Groups - Complexity - Cryptologyde Gruyter

Published: Dec 1, 2012

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