〈a, b | aa=a, abbbbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab²⁵ ⇒ ab⁵
2. ba ⇒ ab⁵
3. a² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)