〈a, b | aab=b, baba=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁴ ⇒ ba²
2. a²b ⇒ b
3. b²a ⇒ ba³
4. (ba)² ⇒ ba²
5. b³ ⇒ b²
6. bab² ⇒ bab

Right Cayley graph (truncated)

Left Cayley graph (truncated)