〈a, b | aba=aa, aabb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba ⇒ a²
2. a³ ⇒ a²
3. a²b² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)