〈a, b | aba=aa, bbbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁹ ⇒ b⁸
2. ab⁵ ⇒ ab⁴
3. bab⁴ ⇒ ab⁴
4. b⁴a ⇒ ab⁴
5. a² ⇒ b⁴
6. aba ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)