〈a, b | aaba=a, bbbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²ba ⇒ a
2. aba² ⇒ a
3. b³a ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)