〈a, b | aab=aa, abab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. aba² ⇒ a³
3. (ab)² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)