The Halting Problem

The Halting Problem is a fundamental concept in computer science that addresses the limits of what computers can solve. It states that there is no general method to determine whether a given computer program will eventually stop running (halt) or run forever when provided with a specific input. This issue was proven by Alan Turing in the 1930s, showing that certain problems are inherently unsolvable. Essentially, no program can be written that accurately predicts the behavior of all possible programs, which highlights the complexity and limitations of computation.