〈a, b | aab=ab, bbaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ ab
2. ab² ⇒ ab
3. aba² ⇒ ab
4. (ab)² ⇒ ab
5. b²a² ⇒ ab
6. b²ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)