halting problem

halting problem
The problem of deciding in finite time whether any program will finish running in finite time, when given a certain finite input.

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  • Halting problem — In computability theory, the halting problem can be stated as follows: Given a description of a computer program, decide whether the program finishes running or continues to run forever. This is equivalent to the problem of deciding, given a… …   Wikipedia

  • halting problem — The fundamental decision problem in the theory of computation. It is the problem of finding whether there is an effective procedure for telling whether a Turing machine computation ever terminates, for an arbitrary input. The negative solution is …   Philosophy dictionary

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  • P versus NP problem — Unsolved problems in computer science Is P = NP ? …   Wikipedia

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  • Post correspondence problem — The Post correspondence problem is an undecidable decision problem that was introduced by Emil Post in 1946.[1] Because it is simpler than the halting problem and the Entscheidungsproblem it is often used in proofs of undecidability. Contents 1… …   Wikipedia

  • Mathematical problem — A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real world problem, such as computing the orbits of the planets in the solar system, or a… …   Wikipedia

  • Chaitin's constant — In the computer science subfield of algorithmic information theory, a Chaitin constant or halting probability is a real number that informally represents the probability that a randomly constructed program will halt. These numbers are formed from …   Wikipedia

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