〈a, b | abba=aa, babb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. ba² ⇒ ba
3. a²b² ⇒ ab²
4. ab²a ⇒ a²
5. bab² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)