〈a, b | aba=a, abbb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁶ ⇒ ab³
2. b²a ⇒ ab³
3. a²b³ ⇒ ab³
4. aba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)