〈a, b | aab=ab, baba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. aba ⇒ ba²
2. a²b ⇒ ab
3. a³ ⇒ a²
4. b²ab ⇒ ab
5. b²a² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)