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Is a forever running program computable? For example a program which calculates the biggest natural number.

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    $\begingroup$ Have you seen definition of computable program? What does it say? $\endgroup$ – Evil Apr 28 '18 at 21:27
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    $\begingroup$ Computability is a property of languages or functions, not of programs. $\endgroup$ – Yuval Filmus Apr 28 '18 at 21:34
  • $\begingroup$ You want another model of computation than the classic one used in lectures on computability. $\endgroup$ – Raphael Apr 28 '18 at 21:57
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    $\begingroup$ Note that your question is self-answering: you are asking whether the function computed by a diverging program is actually computed by some program. $\endgroup$ – chi Apr 29 '18 at 8:15

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