〈a, b | abab=a, abba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. a²b² ⇒ a
3. ab²a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)