〈a, b | aaa=a, baabb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁶ ⇒ a
2. b³a ⇒ a
3. ba² ⇒ a²b⁴
4. a³ ⇒ a
5. a²ba ⇒ ba
6. a²b²a ⇒ b²a

Right Cayley graph (truncated)

Left Cayley graph (truncated)