Before using an algorithm, we must evaluate whether it is correct and whether it finishes in a reasonable amount of time. In this video, we explain how algorithms are evaluated, using simple language and real-world examples.
You’ll learn about empirical analysis, where programmers test algorithms with different inputs to catch errors, and why testing alone cannot guarantee correctness for all cases. We also introduce formal reasoning and mathematical proofs, such as induction, which provide complete certainty—but are much harder to perform.
This video helps you understand why most software relies on testing, while critical systems (like medical or safety software) require strict logical verification.
📌 Topics covered:
What it means to evaluate an algorithm
Algorithm correctness and termination
Empirical analysis (testing with inputs)
Limitations of testing
Formal verification and mathematical proofs
When rigorous validation is necessary
👩💻 Ideal for:
Computer science beginners
Students studying algorithms
Anyone learning problem-solving and software reliability
