〈a, b | aaaaaba=aab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ca/b
• Auxiliary generator aab=c

Complete rewriting system

1. a³c² ⇒ ca²ca
2. a³ca ⇒ c
3. cb ⇒ (ca)²
4. cab ⇒ ca²ca
5. a²b ⇒ c