〈a, b | aab=bb, baa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba² ⇒ b
2. a⁴b ⇒ a²b
3. b² ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)