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arXiv · 1302.2819

Monoids $\mathrm{Mon}\langle a,b:a^{\alpha}b^{\beta}a^{\gamma}b^{\delta}a^{\varepsilon}b^{\varphi}=b\rangle$ admit finite complete rewriting systems

Alan Cain·Victor Maltcev
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Abstract

The aim of this note is to prove that monoids $\mathrm{Mon}\langle a,b:aUb=b\rangle$, with $aUb$ of relative length 6, admit finite complete rewriting systems. This is some advance in the understanding the long-standing open problem whether the word problem for one-relator monoids is soluble.

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Alan Cain, Victor Maltcev. 2013-02-12. Monoids $\mathrm{Mon}\langle a,b:a^{\alpha}b^{\beta}a^{\gamma}b^{\delta}a^{\varepsilon}b^{\varphi}=b\rangle$ admit finite complete rewriting systems. https://arxiv.org/abs/1302.2819

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