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Towards Practical FPRAS for #NFA: Exploiting the Power of Dependence

Summary: Proposes a practical FPRAS for #NFA with time O(n^2 m^3 log(nm) eps^-2 log(delta^-1)). Sub-quadratic membership checks (O(n m^2)) enable tractable counting of length-n words accepted by NFAs, addressing impractical prior FPRAS. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
1987
Venue
PODS
Year
2025
Pagerank
4.1905499e-05
Overall Rank
10,374 | 27.91%
DOI
10.1145/3725253

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Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
2,297 Efficient Logspace Classes for Enumeration, Counting, and Uniform Generation 2019 PODS 9.0812384e-05
7,162 Probabilistic Query Evaluation: The Combined FPRAS Landscape 2023 PODS 4.8085863e-05
10,922 A faster FPRAS for #NFA 2024 PODS 4.1905499e-05
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