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MATHEMATICS
Mathematical Logic
Decidability
Decidability reveals the fundamental limits of algorithmic problem solving in mathematics and logic
22 Jan 2026
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What does it mean for a problem to be undecidable in the context of computability theory?
The problem can be solved by an algorithm but only for some instances, not all.
The problem has a known solution but requires infinite time to compute the answer.
There is no algorithm that can determine the answer for all instances of the problem in a finite amount of time.
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