〈a, b | aab=a, bbba=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. ab ⇒ a
3. b³a ⇒ b²a

Right Cayley graph (truncated)

Left Cayley graph (truncated)