〈a, b | aaa=a, babbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab²⁴ ⇒ a
2. ba ⇒ ab²¹
3. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)