〈a, b | aabbaa=abb〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. aca² ⇒ c
2. c²a² ⇒ (ac)²
3. ab² ⇒ c
4. cb² ⇒ (ac)²