〈a, b | aabb=bb, abbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. ab³ ⇒ a
3. b³a ⇒ a
4. a² ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)