〈a, b | aaaabaaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a⁴c² ⇒ (ca²)²
2. a⁴cac ⇒ ca³ca²
3. a⁴ca² ⇒ c
4. bc ⇒ ca³ca²
5. ba ⇒ c