〈a, b | aaa=aa, babb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. bab² ⇒ ba
3. ba²b² ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)