〈a, b | aba=bb, abba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. aba ⇒ b²
2. ab³ ⇒ b³a
3. ab²a ⇒ b²
4. b⁴a ⇒ b³a
5. b³ab ⇒ b³a
6. b³a² ⇒ b⁵
7. b⁶ ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)