〈a, b | aba=ab, bbba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ ab
2. ab²a ⇒ ab²
3. ab³ ⇒ ab
4. b³a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)