〈a, b | aabbba=baba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right acb
• Auxiliary generator bbb=c

Complete rewriting system

1. bc ⇒ cb
2. b³ ⇒ c
3. (ba)² ⇒ a²ca
4. ba³ca ⇒ a²caba
5. b²a²ca ⇒ caba