〈a, b | aaa=a, aaba=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁸ ⇒ b⁴
2. b³ab³ ⇒ b⁴
3. b⁴a ⇒ b⁶
4. a²b³ ⇒ b³
5. aba ⇒ ab³
6. b³a² ⇒ b³
7. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)