〈a, b | aaaaabaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ca/b
• Auxiliary generator ba=c

Complete rewriting system

1. a⁵c² ⇒ ca⁴ca
2. a⁵ca ⇒ c
3. bc ⇒ ca⁴ca
4. ba ⇒ c