paper

On a total function which overtakes all total recursive functions

arXiv:math/0106099

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.

LaTeX

On a total function which overtakes all total recursive functions · wovepaper