〈a, b | aab=b, babba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁶ ⇒ b³
2. b²ab ⇒ b⁴a
3. bab³ ⇒ b⁴a
4. b³a² ⇒ b³
5. bab²a ⇒ b²
6. a²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)