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  1. Jun 11, 2021 · In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.

  2. In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest [1] and earliest-discovered examples of a total computable function that is not primitive recursive.

  3. 6 days ago · The Ackermann function is the simplest example of a well-defined total function which is computable but not primitive recursive, providing a counterexample to the belief in the early 1900s that every computable function was also primitive recursive (Dötzel 1991).

  4. In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.

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  5. Feb 10, 2023 · Ackermann introduced in this paper a mathematical function now known as thethree-variable Ackermann function”. The incumbency of recursion in the definitions of functions remained an...

  6. The Ackermann function is a classic example of a computable function that is not primitive recursive, defined using a specific mathematical recursive structure. It showcases the power and limitations of recursive functions by illustrating a function that grows faster than any primitive recursive function.

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  8. The Ackermann function is a classic example of a recursive function that is not primitive recursive, used to illustrate the concept of computability and the limits of computation.

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