〈a, b | abab=aa, abba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. aba ⇒ a²b
3. a²b² ⇒ a²
4. ab²a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)