〈a, b | aab=b, bbba=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. ba³ ⇒ ba
3. b³a ⇒ a³
4. b⁴ ⇒ b
5. a⁵ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)