〈a, b | aabaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. aca² ⇒ c
2. c²a² ⇒ (ac)²
3. ab ⇒ c
4. cb ⇒ (ac)²