Formal Languages Questions
The halting problem is a fundamental problem in computer science and mathematics that asks whether it is possible to determine, in a general and systematic way, whether a given program will halt (terminate) or run indefinitely. In other words, it is the problem of deciding whether there exists an algorithm that can predict whether any arbitrary program will eventually stop or continue running forever. The halting problem was proven to be undecidable by Alan Turing in 1936, meaning that there is no algorithm that can solve it for all possible programs.