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From: dbush <dbush.mobile@gmail.com>
Newsgroups: comp.theory
Subject: Re: DD specifies non-terminating behavior to HHH --- RECURSIVE CHAIN
 --- Saving Democracy
Date: Sat, 22 Feb 2025 15:59:04 -0500
Organization: A noiseless patient Spider
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On 2/22/2025 3:53 PM, olcott wrote:
> On 2/22/2025 2:09 PM, dbush wrote:
>> On 2/22/2025 3:03 PM, olcott wrote:
> 
> 01 int F(int i)
> 02 {
> 03   if (i > 10)
> 04     return 0;
> 05   else
> 06     return F(i+1);
> 07 }
> 08
> 09 int no_numbers_greater_than_10()
> 10 {
> 11   return F(0);
> 12 }
> 13
> 14 int main()
> 15 {
> 16   F((int)no_numbers_greater_than_10);
> 17   return 0;
> 18 }
> 
>>
>> So if the address of no_numbers_greater_than_10 is greater than 10 
>> then 0 is returned right away, otherwise as most 10 recursive calls 
>> will be made before the condition is matched and 0 is returned.
>>
>> This doesn't change the fact that no_numbers_greater_than_10 correctly
>> simulated by F cannot possibly return so F(no_numbers_greater_than_10)
>> is correct to report non-halting, which means that there is no natural
>> number greater than 10.
>>
>> Agreed?
> 
> I think that you will find more bugs when you try to
> provide the line number by line number execution trace.
> 
> #1 bug F never simulates anything.
> 

It is a verified fact that no_numbers_greater_than_10 correctly
simulated by F cannot possibly return so F(no_numbers_greater_than_10)
is correct to report non-halting.  This answer is correct even if F gets 
it by a wild guess, as you have previously stated.

You stated that HHH is correct to report DD as non-halting because 
replacing the code of HHH by an unconditional simulator causes DD to not 
halt.

Similarly, F is correct to report no_numbers_greater_than_10 as 
non-halting because replacing the code of F by an unconditional 
simulator causes no_numbers_greater_than_10 to not halt.

Agreed?