〈a, b | aab=b, bbbbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. ba² ⇒ b
3. a⁴ ⇒ a²
4. b⁵ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)