〈a, b | aaa=a, aabb=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ a
2. a²ba ⇒ ba
3. b²a ⇒ ba
4. ab² ⇒ aba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)