An Evaluation of Massively Parallel Algorithms for DFA Minimization

Fuente: arXiv
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Autores principales: Martens, Jan, Wijs, Anton
Formato: Preprint
Publicado: 2024
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author Martens, Jan
Wijs, Anton
author_facet Martens, Jan
Wijs, Anton
contents We study parallel algorithms for the minimization of Deterministic Finite Automata (DFAs). In particular, we implement four different massively parallel algorithms on Graphics Processing Units (GPUs). Our results confirm the expectations that the algorithm with the theoretically best time complexity is not practically suitable to run on GPUs due to the large amount of resources needed. We empirically verify that parallel partition refinement algorithms from the literature perform better in practice, even though their time complexity is worse. Lastly, we introduce a novel algorithm based on partition refinement with an extra parallel partial transitive closure step and show that on specific benchmarks it has better run-time complexity and performs better in practice.
format Preprint
id arxiv_https___arxiv_org_abs_2410_22764
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Evaluation of Massively Parallel Algorithms for DFA Minimization
Martens, Jan
Wijs, Anton
Distributed, Parallel, and Cluster Computing
Logic in Computer Science
D.1.3;F.4.3
We study parallel algorithms for the minimization of Deterministic Finite Automata (DFAs). In particular, we implement four different massively parallel algorithms on Graphics Processing Units (GPUs). Our results confirm the expectations that the algorithm with the theoretically best time complexity is not practically suitable to run on GPUs due to the large amount of resources needed. We empirically verify that parallel partition refinement algorithms from the literature perform better in practice, even though their time complexity is worse. Lastly, we introduce a novel algorithm based on partition refinement with an extra parallel partial transitive closure step and show that on specific benchmarks it has better run-time complexity and performs better in practice.
title An Evaluation of Massively Parallel Algorithms for DFA Minimization
topic Distributed, Parallel, and Cluster Computing
Logic in Computer Science
D.1.3;F.4.3
url https://arxiv.org/abs/2410.22764