〈a, b | aab=b, bbaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b
2. b³ ⇒ b
3. a⁴ ⇒ a²
4. b²a² ⇒ a²
5. b²ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)