〈a, b | aba=aa, babbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. ba² ⇒ a²
3. a²b²a ⇒ a³
4. a²b³ ⇒ a²
5. bab²a ⇒ a²
6. bab³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)