〈a, b | aab=ab, baa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ ab
2. ba² ⇒ b
3. bab ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)