〈a, b | abba=aa, babb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ a²
2. a²b² ⇒ aba
3. ab²a ⇒ a²
4. (ba)² ⇒ aba
5. bab² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)