〈a, b | aba=a, bbbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁸ ⇒ a²
2. ba² ⇒ a⁷
3. aba ⇒ a
4. a²b ⇒ a⁷
5. b⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)