• Simulating halt deciders (SHDs) simply do not work; alas neither does O

    From Mr Flibble@21:1/5 to All on Sun Oct 23 15:59:16 2022
    XPost: comp.theory, sci.logic, comp.lang.c++
    XPost: comp.lang.c

    Hi!

    Simulating halt deciders (SHDs) simply do not work.

    Why? A turing machine should be able to implement ANY algorithm and as
    such it is an idealisation, an INFINITE STATE MACHINE (ISM) if you will.

    A simulating halt decider (SHD) can only over be implemented as a FINITE
    STATE MACHINE (FSM) so is not suitable for a) solving the halting
    problem or b) refuting the halting problem proofs.

    Olcott has wasted the last 18 years of his life with what he thinks he
    invented (SHDs). Alas the deluded dear hasn't even invented a halt
    decider, all he has invented is a particularly useless form of
    simulation detector.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From olcott@21:1/5 to Mr Flibble on Sun Oct 23 10:12:47 2022
    XPost: comp.theory, sci.logic

    *Please do not post to comp.lang.c or you will kill it*

    On 10/23/2022 9:59 AM, Mr Flibble wrote:
    Hi!

    Simulating halt deciders (SHDs) simply do not work.

    Why? A turing machine should be able to implement ANY algorithm and as
    such it is an idealisation, an INFINITE STATE MACHINE (ISM) if you will.


    The machine operates on an infinite[4] memory tape divided into discrete cells,[5] each of which can hold a single symbol drawn from a finite set
    of symbols called the alphabet of the machine. It has a "head" that, at
    any point in the machine's operation, is positioned over one of these
    cells, and a "state" selected from a *finite set of states*. https://en.wikipedia.org/wiki/Turing_machine


    --
    Copyright 2022 Pete Olcott "Talent hits a target no one else can hit;
    Genius hits a target no one else can see." Arthur Schopenhauer

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to olcott on Sun Oct 23 16:18:56 2022
    XPost: comp.theory, sci.logic, comp.lang.c++
    XPost: comp.lang+c

    On Sun, 23 Oct 2022 10:12:47 -0500
    olcott <polcott2@gmail.com> wrote:

    *Please do not post to comp.lang.c or you will kill it*

    On 10/23/2022 9:59 AM, Mr Flibble wrote:
    Hi!

    Simulating halt deciders (SHDs) simply do not work.

    Why? A turing machine should be able to implement ANY algorithm and
    as such it is an idealisation, an INFINITE STATE MACHINE (ISM) if
    you will.

    The machine operates on an infinite[4] memory tape divided into
    discrete cells,[5] each of which can hold a single symbol drawn from
    a finite set of symbols called the alphabet of the machine. It has a
    "head" that, at any point in the machine's operation, is positioned
    over one of these cells, and a "state" selected from a *finite set of states*. https://en.wikipedia.org/wiki/Turing_machine

    Nope. I am including the tape as part of the machine's state just as we
    include machine memory as being part of an SHD's state.

    /Flibble

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