〈a, b | ababbba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. (a²c)²ac² ⇒ c
2. ca²(ca)³ ⇒ (aca)²c²a
3. ca(ac)³c ⇒ (aca)²c³
4. ba ⇒ aca
5. bc ⇒ ac²
6. cab³ ⇒ (aca)²c²