〈a, b | aab=b, abba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ab² ⇒ b³
2. aba ⇒ b²a
3. a²b ⇒ b
4. b⁴ ⇒ b²
5. b³a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)