〈a, b | aab=bb, abaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁴ ⇒ b³
2. bab ⇒ ab³
3. b²a ⇒ ba
4. a²b ⇒ b²
5. ba² ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)