〈a, b | aba=b, aaaaaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a
2. ba⁵ ⇒ b
3. ab ⇒ ba⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)