Dynamic Algorithms for the Dyck Languages
DOI:
https://doi.org/10.7146/brics.v2i1.19503Abstract
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.
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Published
1995-01-01
How to Cite
Frandsen, G. S., Husfeldt, T., Miltersen, P. B., Rauhe, T., & Skyum, S. (1995). Dynamic Algorithms for the Dyck Languages. BRICS Report Series, 2(1). https://doi.org/10.7146/brics.v2i1.19503
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Articles published in DAIMI PB are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.