〈a, b | aaa=a, abbb=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. a²ba ⇒ ba
3. ab³ ⇒ ba²
4. (ba)² ⇒ ab²a
5. b³a ⇒ aba
6. a²b²a ⇒ b²a
7. bab²a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)