〈a, b | ab=a, bbbbaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab ⇒ a
2. a³ ⇒ a²
3. ba² ⇒ ba
4. b⁴a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)