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From: Mike Terry <news.dead.person.stones@darjeeling.plus.com>
Newsgroups: comp.theory
Subject: Re: How the requirements that Professor Sipser agreed to are exactly
 met --- WDH
Date: Sat, 17 May 2025 15:27:52 +0100
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On 17/05/2025 09:55, Mikko wrote:
> On 2025-05-16 14:47:39 +0000, olcott said:
> 
>> On 5/16/2025 4:26 AM, Mikko wrote:
>>> On 2025-05-15 00:36:21 +0000, Mike Terry said:
>>>
>>>> On 14/05/2025 22:31, Keith Thompson wrote:
>>>>> olcott <polcott333@gmail.com> writes:
>>>>>> On 5/14/2025 3:51 PM, dbush wrote:
>>>>>>> On 5/14/2025 11:45 AM, olcott wrote:
>>>>>>>> On 5/14/2025 6:20 AM, Richard Damon wrote:
>>>>>>>>>
>>>>>>>>> And since the DD that HHH is simulating WILL HALT when fully
>>>>>>>>> simulated (an action that HHH doesn't do)
>>>>>>>>
>>>>>>>> *NOT IN THE ACTUAL SPEC*
>>>>>>>> <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
>>>>>>>>
>>>>>>> That Sipser didn't agree what you think the above means:
>>>>>>>
>>>>>>
>>>>>> If that was actually true then you could provide an
>>>>>> alternative meaning for the exact words stated above.
>>>>>>
>>>>>> I keep challenging you to provide this alternative
>>>>>> meaning and you dodge because you know that you are
>>>>>> lying about there being any alternative meaning
>>>>>> FOR THE EXACT WORDS LISTED ABOVE.
>>>>>
>>>>> No alternative meaning is needed, just a correct interpretation of the
>>>>> words (which appear to be incomplete).
>>>>>
>>>>> The quoted sentence is cut off, something that I suspect you didn't
>>>>> notice.� Here's the full quotation from a previous article:
>>>>>
>>>>>>> <Sipser approved abstract>
>>>>>>> MIT Professor Michael Sipser has agreed that the following verbatim
>>>>>>> paragraph is correct (he has not agreed to anything else in this
>>>>>>> paper):
>>>>>>>
>>>>>>> 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.
>>>>>>> </Sipser approved abstract>
>>>>>
>>>>> **If** H correctly simulates its input in the manner you claim,
>>>>> **then** H can correctly report the halting status of D.� (That's a
>>>>> paraphrase that probably doesn't capture the full meaning; the full
>>>>> **quotation is above.)
>>>>>
>>>>> To put it another way, If H correctly simulated its input in
>>>>> the manner you claim, then H could correctly report the halting
>>>>> status of D.
>>>>>
>>>>> I'm not surprised that Sipser would agree to that.� The problem is
>>>>> that it's a conditional statement whose premise is impossible.
>>>>>
>>>>> If an equilateral triangle had four sides, then each of its four
>>>>> vertices would be 90 degrees.� That doesn't actually mean that
>>>>> there exists an equilateral triangle with four 90-degree vertices,
>>>>> and in fact no such triangle exists.� Similarly, *if* a general
>>>>> halt decider existed, then there are a lot of things we could say
>>>>> about it -- but no general halt decider can exist.
>>>>>
>>>>> I'm not quite 100% confident in my reasoning here.� I invite any
>>>>> actual experts in computational theory (not you, PO) to criticize
>>>>> what I've written.
>>>>
>>>> I doubt that Sipser would be using your interpretation, relying on a false premise as a clever 
>>>> kind of logical loop-hole to basically fob someone off.
>>>
>>> The details of H are not known to Sipser, so he can't know whether a
>>> premise is false. It is possible that some simulating partial decider
>>> correctly simulates a part of the behaviour of some D and correctly
>>> determines that the unsimulated part of the behaviour never halts;
>>> for example, if the unsimulated part is a trivial eternal loop. That
>>> one premise is false about HHH with DDD is a part of what was asked.
>>
>> Mike explains all of the details of exactly how a
>> correct Simulating Halt Decider is derived from
>> the exact meaning of the words that professor Sipser
>> agreed to IN THE PART THAT YOU IGNORED
> 
> No, he does not. He does not even believe that it is possible to derive
> a correct Simulating Halt Decider form the exact meaning of any words.
> 

That's correct.

We could build a correct /partial/ SHD though, which I explained.  The idea behind an PSHD is ok, 
and a class of HP inputs could be correctly decided with a PSHD.  Obviously a PSHD H could not 
decide its corresponding H^ input, as the Linz HP proof implies.  Since PO's HHH /does/ decide its 
corresponding DD (incorrectly), it is not a PSHD, since PSHDs are not allowed to decide incorrectly. 
  [A correctly coded PSHD HHH would never halt when given its (HHH^,HHH^) input.

PO's problem is that he misunderstands the entire context of Sipser's words.  Sipser's words concern 
how a PSHD H could decide some FIXED INPUT D it has been given.  PO wants to interpret them as what 
happens when H is modified, and D is also modified to reference the new H.  So he's modifying what 
is supposed to be a fixed input half way through his interpretation.  Sipser would be holding his 
head in his hands if he knew (and cared) ... :)


Mike.