〈a, b | aba=ab, bbbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. aba ⇒ ab
3. ab²a ⇒ ab²
4. ab³ ⇒ a
5. b³a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)