〈a, b | aab=bb, bab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ ba
2. bab ⇒ ba
3. ba² ⇒ b³
4. a²b ⇒ b²
5. b⁴ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)