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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: The philosophy of computation reformulates existing ideas on a
 new basis --- getting somewhere
Date: Sun, 3 Nov 2024 12:33:44 -0600
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On 11/3/2024 12:20 PM, Richard Damon wrote:
> On 11/3/24 9:39 AM, olcott wrote:
>>
>> That is why I used to fully defined semantics of the x86
>> language to make this 100% perfectly unequivocal.
>>
>> A few lines of x86 code express complex algorithms
>> succinctly enough that human minds are not totally
>> overwhelmed by far too much tedious detail.
>>
>>> It is not pspecified
>>> in the usual formulation of the problem. Also note that
>>> the behaviour exists before those strings so "describe"
>>> should be and usually is used instead of "specify". The
>>> use of latter may give the false impression that the behaviour
>>> is determined by those strings.
>>>
>>
>> In order for any machine to compute the mapping from
>> a finite string it must to so entirely on the basis
>> of the actual finite string and its specified semantics.
> 
> You have that somewhat backwards. It *CAN* only do what it can compute.
> 
> The mapping is not required to *BE* computable.
> 
>>
>> The finite string input to HHH specifies that HHH
>> MUST EMULATE ITSELF emulating DDD.
> 
> Right, and it must CORRECTLY determine what an unbounded emulation of 
> that input would do, even if its own programming only lets it emulate a 
> part of that.
> 

Yes this is exactly correct. I don't understand
why you keep disagreeing with your own self this.

>>
>> The finite string input to HHH1 specifies that HHH1
>> MUST NOT EMULATE ITSELF emulating DDD.
> 
> But the semantics of the string haven't changed, as the string needs to 
> contain all the details of how the machine it is looking at will work.
> 

DDD emulated by HHH specifies that HHH will
emulate itself emulating DDD.

DDD emulated by HHH1 specifies that HHH1 will
NOT emulate itself emulating DDD.

>>
>> Unless HHH rejects its input DDD as non halting the
>> executed DDD never stops running. This itself proves
>> that HHH is correct and that DDD is not the same
>> instance as the one that HHH rejected.
> 
> You have cause and effect backwards.
> 

<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...

The conditional branch instruction criteria has been met.



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