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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: Defining a correct simulating halt decider
Date: Sun, 8 Sep 2024 17:53:37 +0300
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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.

-- 
Mikko