〈a, b | aabb=aa, babb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ a²
2. a²ba ⇒ a³
3. a²b² ⇒ a²
4. (ba)² ⇒ a²
5. bab² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)