〈a, b | aab=aa, bbbab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a²
2. a(ba)² ⇒ aba²
3. abab² ⇒ (ab)²
4. b³a² ⇒ ab²ab
5. b³ab ⇒ a
6. ab(ba)² ⇒ ab²a²
7. (ab²)² ⇒ ab²ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)