〈a, b | ababab=abaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right bc/a
• Auxiliary generator abaa=c

Complete rewriting system

1. cab ⇒ abc
2. ca² ⇒ (ab)²c
3. cba² ⇒ abac
4. cb(ab)² ⇒ abac
5. aba² ⇒ c
6. (ab)³ ⇒ c