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On a total function which overtakes all total recursive functions

N. C. A. da Costa·F. A. Doria
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Abstract

This paper discusses a function that is frequently presented as a simile or look-alike of the so-called ``counterexample function to P=NP,'' that is, the function that collects all first instances of a problem in NP where a poly machine incorrectly `guesses' about the instance. We state and give in full detail a crucial result on the computation of Goedel numbers for some families of poly machines.

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BibTeXRIS

N. C. A. da Costa, F. A. Doria. 2001-06-12. On a total function which overtakes all total recursive functions. https://arxiv.org/abs/math/0106099

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