〈a, b | aab=ba, babb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. ba ⇒ a²b
2. a²b² ⇒ b²
3. b³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)