
Blum's speedup theorem
Blum's speedup theorem states that for some problems, there’s no single optimal algorithm; instead, an infinite sequence of algorithms can solve the problem, each faster than the last, but with no ultimate best. This means that no matter how much you improve an algorithm, there might always be a new one that’s even more efficient, making it impossible to find a definitive “fastest” solution. Essentially, some problems have no universal fastest method, and efforts to optimize algorithms can always be improved upon indefinitely.