〈a, b | baa=aab, abbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ a²b
2. bab ⇒ ab²
3. ab³ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)