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Rozwiązywanie trudnych problemów

Zadanie

A software engineer is developing a new operating system. The operating system has to make a decision when it sees an application taking a long time to finish executing an instruction. Should the operating system force quit the application, assuming it will run forever? Or can the operating system detect that the application will finish processing, if it has a bit more time?
The engineer does some research and discovers that this is an undecidable problem.
What are the implications of the problem being undecidable?
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