〈a, b | aba=ab, aabb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. aba ⇒ ab
3. a²b² ⇒ a²
4. ab²a ⇒ ab²
5. ab³ ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)