1. Forum
  2. USENET
  3. cplusplus

  • Re: Alan Turing's Halting Problem is incorrectly formed --- My first post on the halting problem

    From olcott@NoOne@NoWhere.com to sci.logic,comp.theory,comp.lang.c,comp.lang.c++ on Sun Aug 24 16:56:34 2025
    From Newsgroup: comp.lang.c++

    On 6/6/2004 9:11 AM, Peter Olcott wrote:
    One very simple transformation of the problem into a solvable problem
    is to convert the Boolean function DoesItHalt() into a tertiary response: True, False, Neither.

    if (DoesItHalt() == True)
    while(True) // loop forever
    ;
    else if (DoesItHalt() == False)
    return False;

    else if (DoesItHalt() == NeitherTrueNorFalse)
    return NeitherTrueNorFalse;

    So the original Halting Problem was incorrectly formed specifically
    because it was framed as a Boolean function, thus failing to account
    for possible inputs that result in a reply other than True or False.



    --
    Copyright 2024 Olcott

    "Talent hits a target no one else can hit;
    Genius hits a target no one else can see."
    Arthur Schopenhauer
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory,sci.logic,comp.lang.c++,comp.lang.c on Sun Aug 24 17:19:44 2025
    From Newsgroup: comp.lang.c++

    On 8/24/2025 4:56 PM, olcott wrote:
    On 6/6/2004 9:11 AM, Peter Olcott wrote:
    One very simple transformation of the problem into a solvable problem
    is to convert the Boolean function DoesItHalt() into a tertiary response:
    True, False, Neither.

    if (DoesItHalt() == True)
    -a-a while(True)-a-a // loop forever
    -a-a-a-a ;
    else if (DoesItHalt() == False)
    -a-a return False;

    else if-a (DoesItHalt() == NeitherTrueNorFalse)
    -a-a return NeitherTrueNorFalse;

    So the original Halting Problem was incorrectly formed specifically
    because it was framed as a Boolean function, thus failing to account
    for possible inputs that result in a reply other than True or False.






    https://www.usenetarchives.com/view.php?id=sci.logic&mid=PGJDRndjLjEzOTgwJEd4NC4yNTM3QGJndG5zYzA0LW5ld3Mub3BzLndvcmxkbmV0LmF0dC5uZXQ%2B
    --
    Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
    hits a target no one else can see." Arthur Schopenhauer
    --- Synchronet 3.21a-Linux NewsLink 1.2