〈a, b | aab=aa, bbaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. b³ ⇒ b²
3. a⁴ ⇒ a²
4. b²a² ⇒ b²
5. b²ab ⇒ b²a

Right Cayley graph (truncated)

Left Cayley graph (truncated)