〈a, b | aba=a, babab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a
2. ab² ⇒ ab
3. bab ⇒ b²
4. b²a ⇒ ba
5. b³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)