〈a, b | aaa=a, bbbb=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b²¹ ⇒ b⁶
2. bab⁵ ⇒ ab⁹
3. b⁴ab⁴ ⇒ ab⁵
4. b⁵a ⇒ ab⁵
5. a²b⁴ ⇒ b⁴
6. aba ⇒ b⁴
7. b⁴a² ⇒ b⁴
8. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)