〈a, b | aab=b, babb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ba² ⇒ b³
2. a²b ⇒ b
3. b⁴ ⇒ b²
4. b³a ⇒ ba
5. bab² ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)