What Does Halting Problem Mean?

The halting problem, commonly applied to Turing-complete programs and models, is the problem of finding out whether, with the given input, a program will halt at some time or continue to run indefinitely. The halting problem is an early example of a decision problem, and also a good example of the limits of determinism in computer science.

Techopedia Explains Halting Problem

In general, the halting problem is often used in an abstract capacity to explain why it may be impossible to decide whether a program will ever run indefinitely, or not. Experts explain how halting analysis for a given computer requires a significantly larger and more powerful computer, and how halting analysis for a program of any significant size requires large-dimensional numbers that would occupy massive memory spaces.