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The Limits of Computability and the Halting Problem

#computability #turing-machines #algorithms #logic

An examination of undecidable problems and theoretical boundaries in computer science.

Define the Halting Problem and explain its significance in the field of computability theory. Provide a theoretical proof of why the Halting Problem is undecidable. Discuss the implications of this result for the limits of algorithmic problem solving and formal verification systems.