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We present f4ncgb, a new open-source C++ library for Gröbner basis computations in free algebras, which transfers recent advancements in commutative Gröbner basis software to the noncommutative setting. As our experiments show, f4ncgb establishes a new state of the art for noncommutative Gröbner basis computations. We also discuss implementation details and design choices.

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f4ncgb: High Performance Gröbner Basis Computations in Free Algebras

  • 会议论文

  • 发表日期：

    2026年

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  • Maximilian Heisinger,
  • Clemens Hofstadler

摘要

We present f4ncgb, a new open-source C++ library for Gröbner basis computations in free algebras, which transfers recent advancements in commutative Gröbner basis software to the noncommutative setting. As our experiments show, f4ncgb establishes a new state of the art for noncommutative Gröbner basis computations. We also discuss implementation details and design choices.