〈a, b | aaabbbba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a³(ca)⁴ ⇒ ca
2. a²(ac)⁴c ⇒ c²
3. ba ⇒ aca
4. bc ⇒ ac²
5. a²b⁴ ⇒ c