〈a, b | aab=b, baaa=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁵ ⇒ ba³
2. a²b ⇒ b
3. b²a ⇒ ba³
4. b³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)