〈a, b | aba=aab, bbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. bab³ ⇒ ab⁴
2. b³a ⇒ ab³
3. a² ⇒ b³
4. aba ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)