〈a, b | aab=b, bbaa=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. b²a² ⇒ b²a
3. b²ab ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)