〈a, b | aab=ab, abab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ ab
2. aba ⇒ ba
3. ba² ⇒ ba
4. bab ⇒ ba
5. b²a ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)