Web Reference: The problem comes up often in discussions of computability since it demonstrates that some functions are mathematically definable but not computable. A key part of the formal statement of the problem is a mathematical definition of a computer and program, usually via a Turing machine. Today, we explore one of the most profound topics in theoretical computer science: the Halting Problem. May 27, 2025 · The Halting Problem is a fundamental concept in the realm of computer science and mathematical logic, introduced by Alan Turing in 1936. It is a decision problem that questions whether a given program will halt (stop running) for a particular input.
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