〈a, b | aba=aab, baa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. bab ⇒ b²a
2. ba² ⇒ b
3. a²b ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)