〈a, b | aab=b, baba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a²b ⇒ b
2. b²ab ⇒ b³a
3. bab² ⇒ b³a
4. (ba)² ⇒ b²
5. b³a² ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)