〈a, b | aba=aab, bba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. b²a ⇒ a²
3. a³b² ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)