〈a, b | aba=aa, bab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. a²b ⇒ ab
3. aba ⇒ a²
4. ba² ⇒ ba
5. bab ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)