〈a, b | aab=b, abba=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. ab²a ⇒ b²a
3. ab³ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)