undecidability

Undecidability refers to problems for which no single algorithm or systematic method can always determine the correct answer in a finite amount of time. In other words, there's no way to create a general procedure that will reliably solve these problems for all possible cases within a reasonable timeframe. This concept is important in computer science because it reveals fundamental limits on what machines or algorithms can accomplish. A classic example is the "halting problem," which asks whether a program will eventually stop or run forever—it's proven that no universal method exists to answer this for every possible program.