〈a, b | aba=ab, bbaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ ab
2. ab² ⇒ ab
3. b²a² ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)