〈a, b | aaa=a, baab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. ab² ⇒ a
3. ba² ⇒ a²b
4. b²a ⇒ a
5. a²ba ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)