〈a, b | aabb=ab, bbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. aba ⇒ a
3. ab² ⇒ ab
4. b²a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)