〈a, b | aab=b, abbb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ab² ⇒ b³
2. a²b ⇒ b
3. b⁴ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)