〈a, b | abaab=abaaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right abc
• Auxiliary generator abaaa=c

Complete rewriting system

1. ca³ ⇒ abac
2. ca²b ⇒ abac
3. aba³ ⇒ c
4. aba²b ⇒ c
5. cba³ ⇒ aba²c
6. cba²b ⇒ aba²c