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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: I have always been correct about emulating termination analyzers
 --- PROOF
Date: Sun, 20 Oct 2024 15:54:58 -0500
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On 10/20/2024 2:13 PM, Richard Damon wrote:
> On 10/20/24 11:32 AM, olcott wrote:
>> On 10/20/2024 6:46 AM, Richard Damon wrote:
>>> On 10/19/24 11:20 PM, olcott wrote:
>>>> On 10/19/2024 9:27 PM, Richard Damon wrote:
>>>>> On 10/19/24 8:13 PM, olcott wrote:
>>>>>>
>>>>>> You are directly contradicting the verified fact that DDD
>>>>>> emulated by HHH according to the semantics of the x86 language
>>>>>> cannot possibly reach its own "return" instruction and halt.
>>>>>>
>>>>>
>>>>> But that isn't what the question being asked 
>>>>
>>>> Sure it is. You are just in psychological denial as proven by
>>>> the fact that all attempted rebuttals (yours and anyone else's)
>>>> to the following words have been baseless.
>>>>
>>>> Does the input DDD to HHH specify a halting computation?
>>>
>>> Which it isn't, but is a subtle change of the actual question.
>>>
>>> The actual question (somewhat informally stated, but from the source 
>>> you like to use) says:
>>>
>>> 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.
>>>
>>
>> That is the problem. Because it is too informally stated
>> it can be misunderstood. No one ever intended for any
>> termination analyzer to ever report on anything besides
>> the behavior that its input actually specifies.
> 
> What is "informal" about the actual problem.
> 
> The informality is that it comes from a non-academic source, so doesn't 
> use the formal terminology, which you just wouldn't understand.
> 
> What is to be misunderstood?
> 
> Given that you start with a program, which is defined as the fully 
> detailed set of deterministic steps that are to be performed, and that 
> such a program, will do exactly one behavior for any given input given 
> to it, says that there is, BY DEFINITIOH a unique and specific answer 
> that the analysize must give to be correct.
> 
> The requirement says that the user needs to, by the rules defined by the 
> analyszer, describe that program, and if the analyzer is going to be 
> able to qualify, must define at least one way (but could be multiple) of 
> creating the proper description of that input program, and that an given 
> input that meets that requirement will exactly represent only a singe 
> equivalence set of programs (an equivalence set of programs is a set of 
> programs that all members always produce the same output results for 
> every possible input). Thus, there must exist a unique mapping from each 
> input to such an equivalence set to a correct answer.
> 
> Thus, it is THAT BEHAVIOR, the behavior of the full program that *IS* 
> the behavior that its input actually specifies.
> 
> WHAT IS WRONG WITH THAT?
> 
> 
> Now, this does point out that you claim of what could be the "finite- 
> string input" for you HHH, can't possible be such a correct input,
> 
>>
>>> So, DDD is the COMPUTER PROGRAM to be decided on, 
>>
>> No not at all. When DDD is directly executed it specifies a
>> different sequence of configurations than when DDD is emulated
>> by HHH according to the semantics of the x86 language.
> 
> And what step actually correctly emulated created the first difference 
> in sequence?
> 
> You have been asked this many times, and just fail to answer, because 
> your claim has just been proven to be a *LIE*, so of course you can't 
> find a proof for it,
> 
>>
>> On 10/14/2022 7:44 PM, Ben Bacarisse wrote:
>>  > ... PO really /has/ an H (it's trivial to do for this one case)
>>  > that correctly determines that P(P) *would* never stop running
>>  > *unless* aborted.
> 
> But that is just admitting that your HHH isn't answering the HALTING 
> PROBLEM, but the POOP problem, which has a different domain
> 

HHH must answer about the actual behavior of its input.
This behavior <is> correctly measured by DDD emulated
by HHH according to the semantics of the x86 language.


-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer