〈a, b | aa=a, babab=abb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. bab² ⇒ ab³
3. ab²ab ⇒ ab³
4. ab⁴ ⇒ ab³
5. b(ab)² ⇒ ab²
6. ab³ab ⇒ ab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)