〈a, b | aba=aa, babb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. a²b² ⇒ a³
3. ba³ ⇒ a⁴
4. bab² ⇒ a²
5. a⁵ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)