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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: Defining a correct simulating halt decider
Date: Fri, 6 Sep 2024 14:19:42 +0300
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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.
>>>> 
>>> 
>>> void DDD()
>>> {
>>>    HHH(DDD);
>>>    return;
>>> }
>>> 
>>> New slave_stack at:1038c4
>>> Begin Local Halt Decider Simulation   Execution Trace Stored at:1138cc
>>> [00002172][001138bc][001138c0] 55         push ebp      ; housekeeping
>>> [00002173][001138bc][001138c0] 8bec       mov ebp,esp   ; housekeeping
>>> [00002175][001138b8][00002172] 6872210000 push 00002172 ; push DDD
>>> [0000217a][001138b4][0000217f] e853f4ffff call 000015d2 ; call HHH(DDD)
>>> New slave_stack at:14e2ec
>>> [00002172][0015e2e4][0015e2e8] 55         push ebp      ; housekeeping
>>> [00002173][0015e2e4][0015e2e8] 8bec       mov ebp,esp   ; housekeeping
>>> [00002175][0015e2e0][00002172] 6872210000 push 00002172 ; push DDD
>>> [0000217a][0015e2dc][0000217f] e853f4ffff call 000015d2 ; call HHH(DDD)
>>> 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.

-- 
Mikko