〈a, b | aab=ba, abbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁸ ⇒ ab⁶
2. ba ⇒ ab³
3. a²b ⇒ ab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)