〈a, b | aba=aa, bab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. aba ⇒ a²
3. ba² ⇒ a²
4. bab ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)