Title: A Structural Analysis of the Standard Halting Problem Proof
Author: PL Olcott
Abstract:
This paper presents a formal critique of the standard proof of the undecidability of the Halting Problem. While we do not dispute the
conclusion that the Halting Problem is undecidable, we argue that the conventional proof fails to establish this conclusion due to a
fundamental misapplication of Turing machine semantics. Specifically, we
show that the contradiction used in the proof arises from conflating the behavior of encoded simulations with direct execution, and from making assumptions about a decider's domain that do not hold under a rigorous
model of computation.
On 7/26/2025 6:14 AM, Richard the Demon wrote:
On 7/25/25 9:29 PM, olcott wrote:
On 7/25/2025 8:22 PM, Richard the Demon wrote:
On 7/25/25 7:42 PM, olcott wrote: >>>>*You dishonestly changed the words that I said, as you always do*
_DDD()
[00002192] 55 push ebp
[00002193] 8bec mov ebp,esp
[00002195] 6892210000 push 00002192 // push DDD
[0000219a] e833f4ffff call 000015d2 // call HHH
[0000219f] 83c404 add esp,+04
[000021a2] 5d pop ebp
[000021a3] c3 ret
Size in bytes:(0018) [000021a3]
Until you provide the execution trace of DDD emulated
by HHH (according to the rules of the x86 language)
such that this emulated DDD reaches its own emulated
"ret" instruction final halt state
*you will be considered a fucking liar*
That is just a lIE.
Until you realize that HHH just doesn't do a correct simulation,
*Here are the words that I actually said*
(according to the rules of the x86 language)
Because your HHH ignores the last step of the last instruction it
processes, that of execute the next instruction.
<MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
If simulating halt decider *H correctly simulates its*
*input D until H correctly determines that its simulated D*
*would never stop running unless aborted* then
_DDD()
[00002192] 55 push ebp
[00002193] 8bec mov ebp,esp
[00002195] 6892210000 push 00002192 // push DDD
[0000219a] e833f4ffff call 000015d2 // call HHH
[0000219f] 83c404 add esp,+04
[000021a2] 5d pop ebp
[000021a3] c3 ret
Size in bytes:(0018) [000021a3]
As soon as HHH emulates DDD then emulates itself
emulating DDD and this DDD calls HHH(DDD) to do it
again, HHH has matched a non-terminating behavior pattern.
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