〈a, b | aba=aab, baa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ba² ⇒ a²
2. a²b ⇒ aba
3. (ba)² ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)