Let $\mathbb{A}=\{A, B, C\}$ be an alphabet
and
$\mathcal{C}=\{AAC,ABC,ACB,BCB\}$
$\mathcal{D}=\{AAB, ABB, BAA, BAC\}$
are codes
Prove that $\mathcal{C}$ and $\mathcal{D}$ are equivalent
I should find operations that would transform $\mathcal{C}$ into $\mathcal{D}$, however i have no idea how to solve this problem in a clever way, not just checking all the possibilities
Regards