〈a, b | aaa=aa, babab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. ba² ⇒ a²b
3. a²ba ⇒ a²b
4. a²b²a ⇒ a²b²
5. a²b³ ⇒ a²
6. b(ab)² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)