Record Details

Dynamic Algorithms for the Dyck Languages

BRICS Report Series

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Title Dynamic Algorithms for the Dyck Languages
 
Creator Frandsen, Gudmund Skovbjerg
Husfeldt, Thore
Miltersen, Peter Bro
Rauhe, Theis
Skyum, Søren
 
Description We study dynamic membership problems for the Dyck languages,the class of strings of properly balanced parentheses. We also study the Dynamic Word problem for the free group. We present deterministic algorithms and data structures which maintain a string under replacements of symbols, insertions, and deletions of symbols, and language membership queries. Updates and queries are handled in polylogarithmic time. We also give both Las Vegas- and Monte Carlo-type randomised algorithms to achieve better running times, and present lower bounds on the complexity for variants of the problems.
 
Publisher Aarhus University
 
Contributor
 
Date 1995-01-01
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/19503
10.7146/brics.v2i1.19503
 
Source BRICS Report Series; No 1 (1995): RS-01 Dynamic Algorithms for the Dyck Languages
BRICS Report Series; No 1 (1995): RS-01 Dynamic Algorithms for the Dyck Languages
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/19503/17125
 
Rights Copyright (c) 2014 BRICS Report Series