〈a, b | baa=aab, bba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ a²
2. a²b ⇒ ba²
3. aba² ⇒ ba³

Right Cayley graph (truncated)

Left Cayley graph (truncated)