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The halting problem is unsolvable because it is impossible to create a program that can accurately determine whether any given program will eventually stop or run forever. This limitation was proven by Alan Turing in 1936, showing that there is no algorithm that can solve this problem for all possible programs.

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Q: Why is the halting problem unsolvable?
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Related questions

Is the halting problem NP-hard?

Yes, the halting problem is not NP-hard, it is undecidable.


What causes controversy?

That is a provably unsolvable problem.


Is the halting problem a decidable problem?

No, the halting problem is undecidable, meaning there is no algorithm that can determine whether a given program will halt or run forever.


Is the halting problem undecidable?

Yes, the halting problem is undecidable, meaning that there is no algorithm that can determine whether a given program will halt or run indefinitely.


What did Alan turing do for the computer?

proved "the halting problem" was false.


What is the algorithmic unsolvability?

There are many problems for which it can be proven that they are, at least in the general case, unsolvable - in other words, no algorithm can ever be found to solve them. As an example, one of the first problems for which this unsolvability has been proven is the Halting Problem - determining whether an arbitrary computer program will ever stop, or run forever. Alan Turing showed that solving the halting problem is not possible, in the general case. Note that for some specific computer programs, it might be possible to show that they stop, or that they will continue running forever - but such an algorithm is not possible for ALL computer programs.


What is 7 times a number decreased by fifteen?

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Does all live stream videos have buffering problem can it be fixed?

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The halting problem is a fundamental issue in computer science that states it is impossible to create a program that can determine if any given program will halt or run forever. This was proven by Alan Turing in 1936 through his concept of a Turing machine. The proof involves a logical contradiction that arises when trying to create such a program, showing that it is not possible to solve the halting problem for all cases.


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Risking presumption, I think you mean the Gordian Knot, which was a seemingly unsolvable problem, solved by a bold stroke.


What is universal turing machine and halting problem?

Universal Turing machine (UTM) is machine which can simulate any other TM, thus can compute anything computable Halting problem: given randomly chosen TM with finite randomly chosen input tape, decide that this machine will ever halt (i.e. reach state which never changes, doesn't change tape or move TM head). Halting problem for arbitrary TM was proven undecidable