〈a, b | aba=bb, baa=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ba² ⇒ b²
2. ab² ⇒ b²a
3. aba ⇒ b²
4. b²ab ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)