〈a, b | ab=a, aaaaaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁷ ⇒ a²
2. ba ⇒ a⁶
3. ab ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)