〈a, b | aab=aa, aaaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a²
2. ba² ⇒ a²
3. a²b ⇒ a²
4. b² ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)