〈a, b | aab=aaa, bab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. bab ⇒ ba
3. ba³ ⇒ ba²
4. a⁵ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)