〈a, b | abab=ba, abbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab³ ⇒ a
2. b⁴a ⇒ ba
3. aba ⇒ bab²
4. ba² ⇒ (ab²)²
5. (b²a)² ⇒ a²b
6. a²b²a ⇒ (bab)²
7. a⁴ ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)