〈a, b | aabaaaab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a²c² ⇒ ca
2. (a²c)⁴b ⇒ c
3. ba ⇒ a²cb
4. bc ⇒ c³ac(a²c)²b