〈a, b | abaabaab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left ac/b
• Auxiliary generator baa=c

Complete rewriting system

1. ac³ ⇒ ca
2. (ac²)²b ⇒ c
3. ba ⇒ ac²b
4. bc ⇒ c⁹b