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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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Related Questions

Is the halting problem NP-hard?

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


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.


Why is the halting problem unsolvable?

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.


What are the two hard problems in computer science?

The two hard problems in computer science are the P vs NP problem and the halting problem.


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


What is a sentence for halting?

Halting means disabled in the feet or legs.


How can the halting problem reduction be applied to determine the computability of a given algorithm?

The halting problem reduction can be used to determine if a given algorithm is computable by showing that it is impossible to create a general algorithm that can predict whether any algorithm will halt or run forever. This means that there are some algorithms for which it is impossible to determine their computability.


What is the significance of reduction to the halting problem in the context of computational complexity theory?

Reduction to the halting problem is significant in computational complexity theory because it shows that certain problems are undecidable, meaning there is no algorithm that can solve them in all cases. This has important implications for understanding the limits of computation and the complexity of solving certain problems.


Can you provide me with PayPal screenshot proof of the transaction?

I can provide you with a screenshot of the PayPal transaction as proof.


How many pages does Halting State have?

Halting State has 368 pages.