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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: Defining a correct simulating halt decider
Date: Thu, 12 Sep 2024 10:54:50 +0300
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On 2024-09-11 11:41:42 +0000, olcott said:

> On 9/11/2024 2:35 AM, Mikko wrote:
>> On 2024-09-11 00:21:36 +0000, olcott said:
>> 
>>> On 9/10/2024 3:52 AM, Mikko wrote:
>>>> On 2024-09-09 18:19:26 +0000, olcott said:
>>>> 
>>>>> On 9/8/2024 9:53 AM, Mikko wrote:
>>>>>> On 2024-09-07 13:57:00 +0000, olcott said:
>>>>>> 
>>>>>>> On 9/7/2024 3:29 AM, Mikko wrote:
>>>>>>>> On 2024-09-07 05:12:19 +0000, joes said:
>>>>>>>> 
>>>>>>>>> Am Fri, 06 Sep 2024 06:42:48 -0500 schrieb olcott:
>>>>>>>>>> On 9/6/2024 6:19 AM, Mikko wrote:
>>>>>>>>>>> On 2024-09-05 13:24:20 +0000, olcott said:
>>>>>>>>>>>> On 9/5/2024 2:34 AM, Mikko wrote:
>>>>>>>>>>>>> On 2024-09-03 13:00:50 +0000, olcott said:
>>>>>>>>>>>>>> On 9/3/2024 5:25 AM, Mikko wrote:
>>>>>>>>>>>>>>> On 2024-09-02 16:38:03 +0000, olcott said:
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>>> A halt decider is a Turing machine that computes the mapping from
>>>>>>>>>>>>>>>> its finite string input to the behavior that this finite string
>>>>>>>>>>>>>>>> specifies.
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> A halt decider needn't compute the full behaviour, only whether
>>>>>>>>>>>>>>> that behaviour is finite or infinite.
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> New slave_stack at:1038c4 Begin Local Halt Decider Simulation
>>>>>>>>> 
>>>>>>>>>>>>>> Local Halt Decider: Infinite Recursion Detected Simulation Stopped
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> Hence  HHH(DDD)==0 is correct
>>>>>>>>>>>>> 
>>>>>>>>>>>>> Nice to see that you don't disagree with what said.
>>>>>>>>>>>>> Unvortunately I can't agree with what you say.
>>>>>>>>>>>>> HHH terminates,
>>>>>>>>>>>>> os DDD obviously terminates, too. No valid
>>>>>>>>>>>> 
>>>>>>>>>>>> DDD emulated by HHH never reaches it final halt state.
>>>>>>>>>>> 
>>>>>>>>>>> If that iis true it means that HHH called by DDD does not return and
>>>>>>>>>>> therefore is not a ceicder.
>>>>>>>>>> The directly executed HHH is a decider.
>>>>>>>>> What does simulating it change about that?
>>>>>>>> 
>>>>>>>> If the simulation is incorrect it may change anything.
>>>>>>>> 
>>>>>>> PATHOLOGICAL RELATIONSHIPS CHANGE BEHAVIOR
>>>>>>> PATHOLOGICAL RELATIONSHIPS CHANGE BEHAVIOR
>>>>>>> PATHOLOGICAL RELATIONSHIPS CHANGE BEHAVIOR
>>>>>>> PATHOLOGICAL RELATIONSHIPS CHANGE BEHAVIOR
>>>>>>> PATHOLOGICAL RELATIONSHIPS CHANGE BEHAVIOR
>>>>>> 
>>>>>> However, a correct simultation faithfully imitates the original
>>>>>> behaviour.
>>>>>> 
>>>>> 
>>>>> _DDD()
>>>>> [00002172] 55         push ebp      ; housekeeping
>>>>> [00002173] 8bec       mov ebp,esp   ; housekeeping
>>>>> [00002175] 6872210000 push 00002172 ; push DDD
>>>>> [0000217a] e853f4ffff call 000015d2 ; call HHH(DDD)
>>>>> [0000217f] 83c404     add esp,+04
>>>>> [00002182] 5d         pop ebp
>>>>> [00002183] c3         ret
>>>>> Size in bytes:(0018) [00002183]
>>>>> 
>>>>> A correct emulation obeys the x86 machine code even
>>>>> if this machine code catches the machine on fire.
>>>>> 
>>>>> It is impossible for an emulation of DDD by HHH to
>>>>> reach machine address 00002183 AND YOU KNOW IT!!!
>>>> 
>>>> A correct emulation of DDD does reach the machine address 0000217f and
>>>> a little later 00002183.
>>> 
>>> *That is counter-factual and you cannot possibly show otherwise*
>> 
>> A halt decider is required to predict about the actual execution,
>> not a couterfactual assumption.
> 
> False assumption.

It is not an assumption.

"In computability theory, the halting problem is the problem of
determining, from a description of an arbitrary computer program
and an input, whether the program will finish running, or continue
to run forever." -- https://en.wikipedia.org/wiki/Halting_problem

That definition obviously contains what I said above.

-- 
Mikko