〈a, b | aab=aaa, baa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a⁴
2. ba⁴ ⇒ ba³
3. a²b ⇒ a³
4. b² ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)