〈a, b | abab=ba, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁴ ⇒ b
2. bab³ ⇒ ba
3. aba ⇒ bab²
4. ba² ⇒ (ab²)²
5. (b²a)² ⇒ ab³ab
6. a²b²a ⇒ (bab)²
7. a³b³a ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)