〈a, b | abb=aba, baa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ b³
2. ba² ⇒ b
3. aba ⇒ ab²
4. b⁴ ⇒ b²
5. ab³ ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)