〈a, b | aab=aaa, abb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

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

Right Cayley graph (truncated)

Left Cayley graph (truncated)