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Open-source library enhances Gr"obner basis computations in free algebras, indicating improved capabilities.
We present f4ncgb, a new open-source C++ library for Gr\"obner basis computations in free algebras, which transfers recent advancements in commutative Gr\"obner basis software to the noncommutative setting. As our experiments show, f4ncgb establishes a new state-of-the-art for noncommutative Gr\"obner basis computations. We also discuss implementation details and design choices.
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Heisinger et al. (2025) studied this question.
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