〈a, b | aba=aa, baaab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. a⁵ ⇒ a²
3. a⁴b ⇒ ab
4. ba⁴ ⇒ ba
5. ba³b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)