〈a, b | aaa=a, aabbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab¹⁵ ⇒ ab³
2. bab¹² ⇒ ba
3. b²a ⇒ bab⁹
4. a²b³ ⇒ ba
5. aba ⇒ ab³
6. ba² ⇒ bab⁶
7. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)