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arXiv · 2003.13608

Word problem languages for completely regular semigroups

Tara Brough
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Abstract

Motivated by the question of which completely regular semigroups have context-free word problem, we show that for certain classes of languages $\mathfrak{C}$(including context-free), every completely regular semigroup that is a union of finitely many finitely generated groups with word problem in $\mathfrak{C}$ also has word problem in $\mathfrak{C}$. We give an example to show that not all completely regular semigroups with context-free word problem can be so constructed.

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Tara Brough. 2020-03-30. Word problem languages for completely regular semigroups. https://arxiv.org/abs/2003.13608

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