〈a, b | aabb=ba, baaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁷ ⇒ b
2. bab³ ⇒ b⁴a
3. ba² ⇒ b⁵ab
4. (ba)² ⇒ b³
5. bab²a ⇒ b³ab²
6. a²b ⇒ b⁴ab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)