〈a, b | aba=b, aaaaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a
2. ba⁴ ⇒ b
3. ab ⇒ ba³

Right Cayley graph (truncated)

Left Cayley graph (truncated)