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The There are many equivalent formulations of the halting problem; any set whose The proof that the halting problem is not solvable is a The concept above shows the general method of the proof; this section will present additional details. The halting problem, commonly applied to Turing-complete programs and models, is the problem of finding out whether, with the given input, a program will halt at some time or continue to run indefinitely. Halting means that the program on certain input will accept it and halt or reject it and halt and it would never go into an infinite loop. In computer: Computing basics …condition known as the “halting problem.” (See Turing machine. Don’t stop learning now. turing-machines halting-problem church-turing-thesis hypercomputation — Gänseblümchen quelle ... Was Sie jedoch wahrscheinlich wissen möchten, ist, ob eine "Zeitdilatations-Turing-Maschine" das Problem des Anhaltens lösen kann. The answer must be either yes or no. One approach to the problem might be to run the program for some number of steps and check if it halts.

Yet neither algorithm solves the halting problem generally. Sometimes these programmers use some general-purpose (Turing-complete) programming language, It can also be decided automatically whether a nondeterministic machine with finite memory halts on none, some, or all of the possible sequences of nondeterministic decisions, by enumerating states after each possible decision.

The earliest known use of the words "halting problem" is in a proof by Davis (1958, p. 70–71): The halting problem is a decision problem about properties of computer programs on a fixed While deciding whether these programs halt is simple, more complex programs prove problematic. Get hold of all the important DSA concepts with the If you like GeeksforGeeks and would like to contribute, you can also write an article using Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.
Turing machine can be halting as well as non halting and it depends on algorithm and input associated with the algorithm.
Die Eingabe für $${\displaystyle H}$$ besteht dabei jeweils aus einer codierten Beschreibung $${\displaystyle b(T)}$$ der Maschine $${\displaystyle T}$$ und deren Eingabe $${\displaystyle w}$$. We use cookies to ensure you have the best browsing experience on our website. In this abstract framework, there are no resource limitations on the amount of memory or time required … Turing's biographer Hodges does not have the word "halting" or words "halting problem" in his index. Falls das Halteproblem entscheidbar ist, gibt es eine Turingmaschine $${\displaystyle H}$$, die für jede Turingmaschine $${\displaystyle T}$$ mit jeder Eingabe $${\displaystyle w}$$ entscheidet, ob $${\displaystyle T}$$ irgendwann anhält oder endlos weiterläuft. The halting problem is a decision problem about properties of computer programs on a fixed Turing-complete model of computation, i.e., all programs that can be written in some given programming languagethat is general enough to be equivalent to a Turing machine. The overall goal is to show that there is no The proof proceeds by directly establishing that no total computable function with two arguments can be the required function The typical method of proving a problem to be undecidable is with the technique of For example, one such consequence of the halting problem's undecidability is that there cannot be a general While Turing's proof shows that there can be no general method or algorithm to determine whether algorithms halt, individual instances of that problem may very well be susceptible to attack. So the both condition is non halting for CM machine/program even we had assumed in the beginning that it would halt.So this is the contradiction and we can say that our assumption was wrong and this problem, i.e., halting problem is undecidable.This is how we proved that halting problem is undecidable.Attention reader! Typically their undecidability follows by This means, in particular, that it cannot be decided even with an There are many programs that, for some inputs, return a correct answer to the halting problem, while for other inputs they do not return an answer at all.