〈a, b | aabb=a, bbbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. aba ⇒ a
3. ab² ⇒ a
4. b³a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)