〈a, b | aba=aaa, baab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a³
2. ba²b ⇒ b
3. a⁴b ⇒ ab
4. ba⁴ ⇒ ba
5. a⁶ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)