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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: Defining a correct simulating halt decider
Date: Thu, 5 Sep 2024 10:34:36 +0300
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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
C interpretaion of allows DDD to continue forever after
HHH jas terminated.

-- 
Mikko