〈a, b | aab=aa, baaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. bab ⇒ ba
3. ba³ ⇒ ba
4. a⁵ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)