〈a, b | aaab=a, babbb=a〉

Properties

• Infinite commutative monoid
• Isomorphic to commutative presentation: 〈a, b | a+3b=b, 3a+b=3b, 5b=2a+b〉
• Grothendieck group is ℤ₈

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁹ ⇒ a
2. ba ⇒ a⁷
3. ab ⇒ a⁷

Right Cayley graph (truncated)