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arXiv · 2501.00770

Complexity of Finite Semigroups: History and Decidability

StuarT Margolis·John Rhodes·Anne Schilling
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Abstract

In recent papers, Margolis, Rhodes and Schilling proved that the complexity of a finite semigroup is computable. This solved a problem that had been open for more than 50 years. The purpose of this paper is to survey the basic results of Krohn-Rhodes complexity of finite semigroups and to outline the proof of its computability.

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StuarT Margolis, John Rhodes, Anne Schilling. 2025-01-01. Complexity of Finite Semigroups: History and Decidability. https://arxiv.org/abs/2501.00770

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