〈a, b | aab=a, bbba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a
2. aba ⇒ a
3. ab²a ⇒ ab
4. b²ab ⇒ b²
5. b³a ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)