〈a, b | aabb=aa, baaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b³ ⇒ b
2. a²b² ⇒ a²
3. ba³ ⇒ b
4. bab² ⇒ ba
5. a⁵ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)