〈a, b | aa=a, babbb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. bab⁹ ⇒ bab³
2. b²a ⇒ bab³
3. a² ⇒ a
4. (ba)²b³ ⇒ bab⁶

Right Cayley graph (truncated)

Left Cayley graph (truncated)