Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: =?UTF-8?B?QW5kcsOpIEcuIElzYWFr?= <agisaak@gm.invalid>
Newsgroups: comp.theory
Subject: Re: Correcting the definition of the halting problem --- Computable
 functions
Date: Mon, 24 Mar 2025 18:00:26 -0600
Organization: Christians and Atheists United Against Creeping Agnosticism
Lines: 60
Message-ID: <vrsrmr$1q39o$4@dont-email.me>
References: <vr1shq$1qopn$1@dont-email.me> <vr9qu8$m4cu$2@dont-email.me>
 <vr9ttl$q57o$1@dont-email.me> <vr9u5m$q57o$2@dont-email.me>
 <vrbckn$23f4t$1@dont-email.me> <vrbtiq$2j07c$2@dont-email.me>
 <vrc3ud$2p461$1@dont-email.me> <vrc4nu$2m36k$5@dont-email.me>
 <vrkc2m$24ft6$1@dont-email.me> <vrkdij$25f9f$3@dont-email.me>
 <vrlt36$3haib$1@dont-email.me> <vrn237$im1e$1@dont-email.me>
 <vrn67b$md49$1@dont-email.me>
 <cb974817db8e02049daa5604d725300154e33ad1@i2pn2.org>
 <vrps14$35a4m$2@dont-email.me>
 <eab11e8806c669d296bff986870bdc6abdbb2fef@i2pn2.org>
 <vrqicu$3s258$1@dont-email.me>
 <30c2beae6c191f2502e93972a69c85ff227bfd03@i2pn2.org>
 <vrrs79$11a56$7@dont-email.me> <vrrsta$tdm5$1@dont-email.me>
 <vrs264$1a43i$1@dont-email.me> <vrs54q$1d1o2$1@dont-email.me>
 <vrse90$1jr8u$1@dont-email.me> <vrsk13$1q39o$1@dont-email.me>
 <vrsn62$1rblu$2@dont-email.me> <vrsnhu$1q39o$2@dont-email.me>
 <vrsodl$1rblu$3@dont-email.me> <vrsogj$1q39o$3@dont-email.me>
 <vrsqlq$1rblu$4@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 25 Mar 2025 01:00:31 +0100 (CET)
Injection-Info: dont-email.me; posting-host="752fe15e820d1b6b63a9c46057551485";
	logging-data="1903928"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19+v1OfR7cBqgSulj9j1yH3"
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:LlCK5xXvkscogXF3yrMVoaQ8THY=
In-Reply-To: <vrsqlq$1rblu$4@dont-email.me>
Content-Language: en-US

On 2025-03-24 17:42, olcott wrote:
> On 3/24/2025 6:05 PM, André G. Isaak wrote:
>> On 2025-03-24 17:04, olcott wrote:


>>> _III()
>>> [00002172] 55         push ebp      ; housekeeping
>>> [00002173] 8bec       mov  ebp,esp  ; housekeeping
>>> [00002175] 6872210000 push 00002172 ; push III
>>> [0000217a] e853f4ffff call 000015d2 ; call EEE(III)
>>> [0000217f] 83c404     add  esp,+04
>>> [00002182] 5d         pop  ebp
>>> [00002183] c3         ret
>>> Size in bytes:(0018) [00002183]
>>>
>>> When III is emulated by pure emulator EEE for any finite
>>> number of steps of emulation according to the semantics
>>> of the x86 language it never reaches its own "ret"
>>> instruction final halt state THUS DOES NOT HALT.
>>>
>>> When III is directly executed calls an EEE instance
>>> that only emulates finite number of steps then this
>>> directly executed III always reaches its own "ret"
>>> instruction final halt state THUS HALTS.
>>
>> And that has what, exactly, to do with the post you are allegedly 
>> responding to?
>>
>> André
>>
> 
> 
> THE INPUT FINITE STRING DOES SPECIFY RECURSIVE EMULATION.
> 
> The behavior specified by the finite string input to a
> computable function implemented on a model of computation
> 
> does differ from the direct execution of this same finite
> string because the direct execution avoids the pathological
> self-reference that causes the recursive emulation.
> 
> THE INPUT FINITE STRING DOES SPECIFY RECURSIVE EMULATION.

In the post you were responding to I pointed out that computable 
functions are mathematical objects. The above copypasta doesn't address 
this.

I pointed out that the domain of a computable function needn't be a 
string. The above copypasta doesn't address this.

I pointed out that there is no bijection natural numbers and strings, 
but rather a one-to-many relation. The above copypasta doesn't address this.

I pointed out that the exact same sort of one-to-many relation exists 
between computations and strings. The above copypasta doesn't address this.

-- 
To email remove 'invalid' & replace 'gm' with well known Google mail 
service.