Trickle groups unify right-angled Artin/Coxeter groups, cactus groups, Thompson group F, and ordered quandle groups, and they all inherit a terminating and confluent rewriting system and a solution to the word problem.
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Trickle groups
Trickle groups unify right-angled Artin/Coxeter groups, cactus groups, Thompson group F, and ordered quandle groups, and they all inherit a terminating and confluent rewriting system and a solution to the word problem.