〈a, b | aba=aa, baab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. aba ⇒ a²
2. b²a ⇒ ba³
3. ba²b ⇒ b²
4. ab² ⇒ a³b
5. b³ ⇒ ba⁴b

Right Cayley graph (truncated)

Left Cayley graph (truncated)