〈a, b | aa=a, babbbbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab³⁰ ⇒ a
2. ba ⇒ ab²⁵
3. a² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)