〈a, b | bab=baa, bba=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. bab ⇒ ba²
3. b²a ⇒ a²
4. a⁵ ⇒ a⁴
5. ba⁴ ⇒ ba³

Right Cayley graph (truncated)

Left Cayley graph (truncated)