〈a, b | aab=b, bbbaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. a⁴ ⇒ a²
3. b⁴ ⇒ b
4. b³a² ⇒ a²
5. b³ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)