〈a, b | aab=b, abbbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. a²b ⇒ b
3. ba² ⇒ b
4. b⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)