〈a, b | aab=aa, babb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. a⁴ ⇒ a³
3. bab² ⇒ a²
4. baba² ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)