〈a, b | aab=ab, baaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. bab ⇒ b³
2. a²b ⇒ ab
3. b⁴ ⇒ b³
4. ba³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)