Deterministic Regular Expressions in Linear Time
Summary: Linear-time O(|e|) algorithm to test whether a regular expression e is deterministic, improving the prior O(σ|e|) Glushkov-based bound via a novel structural decomposition of e's parse tree. Combined matching in O(|e|+|w|) for star-free, bounded-occurrence, and bounded plus-depth deterministic REs, and O(|e|+|w| log log |e|) for arbitrary deterministic REs. (summarized by gpt-5-mini on Feb 09 2026)
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Authors
- 1. Benoît Groz (INRIA; University of Lille)
- 2. Sebastian Maneth (National ICT Australia; University of New South Wales)
- 3. Sławek Staworko (INRIA; University of Lille)
BibTeX Citation
@inproceedings{groz_pods12,
address = {New York, NY, USA},
series = {{PODS} '12},
title = {{Deterministic Regular Expressions in Linear Time}},
url = {https://dl.acm.org/doi/10.1145/2213556.2213566},
doi = {10.1145/2213556.2213566},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Groz, Benoît and Maneth, Sebastian and Staworko, Sławek},
year = {2012}
}
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| 1,758 | Validating Streaming XML Documents | 2002 | PODS | 9.8162828e-05 |
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