〈a, b | aba=aaa, bab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a³
2. bab ⇒ a²
3. a³b ⇒ a³
4. ba³ ⇒ a³
5. a⁵ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)