〈a, b | aaa=a, abbbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁶⁴ ⇒ ab⁴
2. ba ⇒ ab⁴
3. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)