〈a, b | aab=ab, babb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b³ab ⇒ ab
2. ab³ ⇒ b²ab
3. a² ⇒ bab²
4. ab²a ⇒ ab²
5. (ab)² ⇒ bab

Right Cayley graph (truncated)

Left Cayley graph (truncated)