〈a, b | aababbba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca(a²c)³a ⇒ a(aca²)²c²a
2. ca(a²c)³c ⇒ a(aca²)²c³
3. a(a³c)²a²c² ⇒ c
4. ba ⇒ a²ca
5. bc ⇒ a²c²
6. cab³ ⇒ a(aca²)²c²