〈a, b | abb=aaa, bab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a⁴
2. ba⁴ ⇒ ba³
3. aba² ⇒ ba³
4. a²b ⇒ ba³
5. b²a³ ⇒ a⁴
6. bab ⇒ a²
7. ab² ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)