〈a, b | ababab=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca² ⇒ ac³
2. ba² ⇒ c³
3. c³b ⇒ bac
4. ab ⇒ c