〈a, b | aba=a, bbbb=aab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁹ ⇒ b⁴
2. ab⁴ ⇒ b⁸
3. b⁴ab ⇒ b⁴
4. a² ⇒ b⁴a
5. aba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)