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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: How do computations actually work?
Date: Sun, 25 May 2025 11:24:43 +0300
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On 2025-05-24 15:13:00 +0000, olcott said:

> 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.

It does. It computes the function that for every argument has the
value 5, which is a valid value for an int function.

-- 
Mikko