〈a, b | aba=b, aaaaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a²
2. ba³ ⇒ b
3. ab ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)