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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Mike Terry Reply to Fred Zwarts
Date: Mon, 3 Jun 2024 16:24:45 -0500
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On 6/3/2024 3:09 PM, Fred. Zwarts wrote:
> Op 03.jun.2024 om 14:20 schreef olcott:
>> On 6/3/2024 4:42 AM, Ben Bacarisse wrote:
>>> Mike Terry <news.dead.person.stones@darjeeling.plus.com> writes:
>>>
>>>> PO's D(D) halts, as illustrated in various traces that have been 
>>>> posted here.
>>>> PO's H(D,D) returns 0 : [NOT halting] also as illustrated in various 
>>>> traces.
>>>> i.e. exactly as the Linz proof claims.  PO has acknowledged both these
>>>> results.  Same for the HH/DD variants.
>>>>
>>>> You might imagine that's the end of the matter - PO failed.  :)
>>>>
>>>> That's right, but PO just carries on anyway!
>>>
>>> He has quite explicitly stated that false (0) is the correct result for
>>> H(D,D) "even though D(D) halts".  I am mystified why anyone continues to
>>> discuss the matter until he equally explicitly repudiates that claim.
>>>
>>
>> Deciders only compute the mapping *from their inputs* to their own
>> accept or reject state. The correct emulation of the machine code input
>> to H(DD,DD) requires DD emulated by HH to emulate each x86 instruction
>> of the x86 machine code of DD correctly and in the correct order.
>>
>> *The input to HH(DD,DD) specifies non-halting behavior*
>>
>> The only way to cause DD emulated by HH to have the same behavior as
>> the directly executed (non input) DD(DD) is to emulate the instructions
>> specified by the machine code of DD incorrectly or in the incorrect
>> order. *This is not the behavior that the input to HH(DD,DD) specifies*
>>
>> The behavior of the directly executed DD(DD) has different behavior
>> than DD correctly emulated by HH. This is because the behavior of DD(DD)
>> reaps the benefits of HH having already aborted its simulation.
>>
>> No one ever noticed that these two behaviors could ever diverge before
>> because everyone rejected the notion of a simulating halt decider out-
>> of-hand without review.
>>
>>
>>
>> Two PhD computer science professors that I have communicated with
>> agree with me that there is something wrong with the halting problem.
>>
>> Bill Stoddart. *The Halting Paradox*
>> 20 December 2017
>> https://arxiv.org/abs/1906.05340
>> arXiv:1906.05340 [cs.LO]
>>
>> E C R Hehner. *Problems with the Halting Problem*, COMPUTING2011 
>> Symposium on 75 years of Turing Machine and Lambda-Calculus, Karlsruhe 
>> Germany, invited, 2011 October 20-21; Advances in Computer Science and 
>> Engineering v.10 n.1 p.31-60, 2013
>> https://www.cs.toronto.edu/~hehner/PHP.pdf
>>
>> E C R Hehner. *Objective and Subjective Specifications*
>> WST Workshop on Termination, Oxford.  2018 July 18.
>> See https://www.cs.toronto.edu/~hehner/OSS.pdf
>>
>>
>>
>> *Introduction to the Theory of Computation, by Michael Sipser*
>> https://www.amazon.com/Introduction-Theory-Computation-Michael-Sipser/dp/113318779X/
>>
>> On 10/13/2022 11:29:23 AM
>> MIT Professor Michael Sipser agreed this verbatim paragraph is correct
>> (He has neither reviewed nor agreed to anything else in this paper)
>>
>> <Professor Sipser agreed>
>> 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
>>
>> H can abort its simulation of D and correctly report that D specifies a
>> non-halting sequence of configurations.
>> </Professor Sipser agreed>
>>
>>
>>
>> *DD correctly simulated by HH would never stop running unless aborted*
>> *We can see that the following DD cannot possibly halt when*
>> *correctly simulated by every HH that can possibly exist*
> 
> It is very clear that if the simulated HH would halt, then DD would 
> halt. So your claim comes down to HH not halting when simulating itself.
> 

Mike Terry replied to this and explained it correctly
as reply directly to you
On 6/3/2024 12:36 PM, Mike Terry wrote:

http://al.howardknight.net/?STYPE=msgid&MSGI=%3CHlGdnbvc3Ly_YsD7nZ2dnZfqn_adnZ2d%40brightview.co.uk%3E

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