〈a, b | aab=b, baba=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁸ ⇒ b⁵
2. b⁷a ⇒ b⁴a
3. b⁴ab ⇒ b⁶a
4. bab² ⇒ b³ab
5. b⁴a² ⇒ b⁷
6. (ba)² ⇒ b³
7. a²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)