〈a, b | aba=a, abbb=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a
2. ab³ ⇒ ba²
3. ab²a² ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)