〈a, b | aab=bb, aaaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁴ ⇒ a⁶
2. a²b ⇒ a⁴
3. b² ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)