• The HP does not exist as stated .. [ Simulating halt deciders ]

    From olcott@21:1/5 to Mr Flibble on Sat Jul 31 16:15:42 2021
    XPost: comp.theory, sci.math.symbolic, comp.software-eng

    On 7/31/2021 3:59 PM, Mr Flibble wrote:
    .. because it is predicated on an erroneous contradiction!

    It is really that simple!

    This is a troll.

    /Flibble


    In computability theory, the halting problem is the problem of
    determining, from a description of an arbitrary computer program and an
    input, whether the program will finish running, or continue to run
    forever. https://en.wikipedia.org/wiki/Halting_problem

    https://www.researchgate.net/publication/351947980_Halting_problem_undecidability_and_infinitely_nested_simulation

    // Simplified Linz Ĥ (Linz:1990:319)
    // Strachey(1965) CPL translated to C
    void P(u32 x)
    {
    if (H(x, x))
    HERE: goto HERE;
    }

    int main()
    {
    Output("Input_Halts = ", H((u32)P, (u32)P));
    }

    A simulating halt decider H correctly decides that its input (P,P) never reaches it final state.

    This same statement equally applies to the Peter Linz proof when Ĥ is
    applied to its own Turing Machine description ⟨Ĥ⟩ as shown in my paper.


    --
    Copyright 2021 Pete Olcott

    "Great spirits have always encountered violent opposition from mediocre
    minds." Einstein

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)