〈a, b | ababbbba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ac/b
• Auxiliary generator babbbb=c

Complete rewriting system

1. a²ca(ac)³c ⇒ c
2. ca²(ca)⁴ ⇒ aca(ac)³ca
3. ca(ac)⁴c ⇒ aca(ac)³c²
4. ba ⇒ aca
5. bc ⇒ ac²
6. cab⁴ ⇒ aca(ac)³c