〈a, b | aab=aa, abaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. ab² ⇒ ab
3. a⁴ ⇒ a²
4. aba² ⇒ ab
5. (ab)² ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)