〈a, b | aba=a, babb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁶ ⇒ a²
2. ba² ⇒ a⁵
3. aba ⇒ a
4. ab² ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)