〈a, b | aba=a, bbbb=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a¹⁰ ⇒ a³
2. ba³ ⇒ a⁹
3. aba ⇒ a
4. a³b ⇒ a⁹
5. b⁴ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)