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Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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Abstract

This final chapter returns to the topic of the first chapter: What is an algorithm?

We give Alan Turing’s answer to that question and end our story with a disappointing result: namely, that we can prove that there is no algorithm that can solve the halting problem. But this result assures us that machines cannot replace human minds with their creativity and ingenuity.

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Jenkyns, T., Stephenson, B. (2018). Turing Machines. In: Fundamentals of Discrete Math for Computer Science. Undergraduate Topics in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-70151-6_11

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  • DOI: https://doi.org/10.1007/978-3-319-70151-6_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70150-9

  • Online ISBN: 978-3-319-70151-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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