〈a, b | aab=b, babaaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁶ ⇒ b
2. a²b ⇒ b
3. b² ⇒ b
4. bab ⇒ ba³

Right Cayley graph (truncated)

Left Cayley graph (truncated)