〈a, b | aa=a, ababbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. aba ⇒ ba
3. ab²a ⇒ b²a
4. ab³a ⇒ b³a
5. bab³ ⇒ ba
6. b⁴a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)