What is Q7637's central idea on algorithmic efficiency?
The central idea is that algorithmic efficiency is not merely a matter of programming trickery, but a deep theoretical property inherent to the problem itself and the models we use to solve it. My work emphasizes the formal definition and classification of computational complexity, particularly the distinction between problems solvable in polynomial time and those that are likely intractable. Understanding these distinctions, through concepts like reductions and complexity classes, is crucial for knowing what is practically achievable in computation.