〈a, b | aab=b, babba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. bab²a ⇒ ba
3. bab³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)