〈a, b | aba=a, abba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ b³
2. ab² ⇒ b³
3. aba ⇒ a
4. b⁴ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)