〈a, b | aabb=a, babab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b² ⇒ a
2. a(ab)² ⇒ a
3. b(ab)² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)