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arXiv · 2406.09281

Computing congruences of finite inverse semigroups

Luna Elliott·Alex Levine·James D. Mitchell
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Abstract

In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from the theories of groups, automata, and inverse semigroups. An initial implementation of this algorithm outperforms existing implementations by several orders of magnitude.

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Luna Elliott, Alex Levine, James D. Mitchell. 2024-06-13. Computing congruences of finite inverse semigroups. https://arxiv.org/abs/2406.09281

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