〈a, b | aaa=aa, bab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. ba² ⇒ a²b
3. bab ⇒ a
4. a²ba ⇒ a²b
5. a²b² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)