Halting Problem

The Halting Problem is a concept in computer science that asks whether there’s a way to predict if a program will eventually stop running or continue forever, given a specific input. Alan Turing proved that, in general, no universal method exists to make this prediction for all possible programs and inputs. This means some programs can't be reliably analyzed to determine whether they will terminate or run indefinitely. The Halting Problem highlights fundamental limits in computability, showing that certain questions about programs are inherently unanswerable by any algorithm.