〈a, b | aaaa=bb, baab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a¹² ⇒ a⁴
2. ba⁴ ⇒ a¹⁰
3. a⁴b ⇒ a¹⁰
4. b² ⇒ a⁴
5. ba²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)