〈a, b | aab=b, babaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. bab² ⇒ b³
3. baba² ⇒ b²
4. b(ab)² ⇒ b²ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)