〈a, b | aaa=aa, babb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ a²
2. (ab)²a² ⇒ baba²
3. a²b² ⇒ baba²
4. bab² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)