〈a, b | aa=a, ababb=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. (ab)² ⇒ bab
3. bab² ⇒ bab
4. ab²ab ⇒ b²ab
5. b³ab ⇒ b²ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)