〈a, b | aab=aa, bbab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. b²a² ⇒ (ab)²
3. b²ab ⇒ a
4. a(ba)² ⇒ aba²
5. abab² ⇒ (ab)²

Right Cayley graph (truncated)

Left Cayley graph (truncated)