〈a, b | aaaabaa=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a⁴c ⇒ c
2. bc ⇒ ca²c
3. ba² ⇒ c
4. bac ⇒ ca³c