〈a, b | aab=b, abba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. b²a ⇒ a³
3. b³ ⇒ b
4. a⁴ ⇒ a²
5. ba³ ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)