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arXiv · 1811.11691

Autostackability of Thompson's group $F$

Nathan Corwin·Gili Golan·Susan Hermiller·Ashley Johnson·Zoran Sunic
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Abstract

The word problem for Thompson's group $F$ has a solution, but it remains unknown whether $F$ is automatic or has a finite or regular convergent (terminating and confluent) rewriting system. We show that the group $F$ admits a natural extension of these two properties, namely autostackability, and we give an explicit bounded regular convergent prefix-rewriting system for $F$.

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Nathan Corwin, Gili Golan, Susan Hermiller, Ashley Johnson, Zoran Sunic. 2018-11-28. Autostackability of Thompson's group $F$. https://arxiv.org/abs/1811.11691

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