〈a, b | aab=bb, baba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a²b ⇒ b²
2. b⁴ ⇒ b³
3. b²ab ⇒ b³a
4. bab² ⇒ b³a
5. (ba)² ⇒ b²
6. b³a² ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)