〈a, b | aaa=ab, babbb=a〉

Properties

• Infinite commutative monoid
• Isomorphic to commutative presentation: 〈a, b | 3b=a+b, 4a+b=b〉
• Grothendieck group is ℤ₈

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁹ ⇒ a
2. ba ⇒ a³
3. ab ⇒ a³

Right Cayley graph (truncated)