〈a, b | aab=b, babbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. bab³ ⇒ ba
3. b⁴a ⇒ ba
4. a²b ⇒ b
5. ba² ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)