〈a, b | baba=abab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca ⇒ ac
2. cb ⇒ bc
3. (ab)² ⇒ c
4. (ba)² ⇒ c