〈a, b | abba=a, aabaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba² ⇒ a²ba
2. ab²a ⇒ a
3. a³ba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)