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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: How do computations actually work?
Date: Sat, 24 May 2025 11:06:25 -0500
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On 5/24/2025 10:15 AM, dbush wrote:
> On 5/24/2025 11:13 AM, olcott wrote:
>> On 5/24/2025 2:39 AM, Mikko wrote:
>>> On 2025-05-23 16:10:19 +0000, olcott said:
>>>
>>>> On 5/23/2025 2:14 AM, Mikko wrote:
>>>>> On 2025-05-23 03:31:15 +0000, olcott said:
>>>>>
>>>>>> On 5/22/2025 10:23 PM, wij wrote:
>>>>>>> On Thu, 2025-05-22 at 21:47 -0500, olcott wrote:
>>>>>>>> [cut]
>>>>>>>
>>>>>>> Q: How do computations actually work?
>>>>>>> A: Computation is merely step-by-step algorithm.
>>>>>>> Nothing says it has to be TM.
>>>>>>>
>>>>>>> Do the exercises in textbooks first before any claim of it.
>>>>>>>
>>>>>>
>>>>>> int main()
>>>>>> {
>>>>>>    DD(); // by what steps can the HHH that DD calls
>>>>>> }       // report on the behavior its caller?
>>>>>
>>>>> If we don't insist that the report be correct:
>>>>> 1. guess
>>>>> 2. tell what was guessed
>>>>
>>>> This does not work because all computable functions
>>>> that implement termination analyzers must compute
>>>> the mapping from their input finite string according
>>>> to the behavior that it specifies.
>>>
>>> Wrong. There is no need to compute "the" mapping if a the report
>>> needs not be correct. Some other mapping is enough to produce
>>> some report.
>>>
>>
>> int sum(int x, int y) { return 5; }
>> Does not compute any function because it ignores its inputs.
>>
> 
> Sure it does.  It computes this function:
> 
> 
> For all integers X and Y:
> 
> (X,Y) maps to 5
> 
> 
> The only requirements for mapping is a function is that inputs 
> correspond to outputs as per the given mapping, and the mathematical 
> function above is mapped by the above C function "sum".

OK

int main()
{
   DD(); // How does the HHH that DD calls report on the
}       // actual behavior of its actual caller?

-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer