〈a, b | aab=aa, baaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ a²
2. ba² ⇒ a²
3. ab ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)