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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Halting Problem: What Constitutes Pathological Input
Date: Tue, 6 May 2025 15:37:11 -0500
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In-Reply-To: <db8999eda88b9152608e58380b8ef7d00862dbaa@i2pn2.org>

On 5/6/2025 3:22 PM, joes wrote:
> Am Tue, 06 May 2025 13:05:15 -0500 schrieb olcott:
>> On 5/6/2025 5:59 AM, Richard Damon wrote:
>>> On 5/5/25 10:18 PM, olcott wrote:
>>>> On 5/5/2025 8:59 PM, dbush wrote:
>>>>> On 5/5/2025 8:57 PM, olcott wrote:
>>>>>> On 5/5/2025 7:49 PM, dbush wrote:
> 
>>>>>>>> DO COMPUTE THAT THE INPUT IS NON-HALTING IFF (if and only if) the
>>>>>>>> mapping FROM INPUTS IS COMPUTED.
>>>>>>> i.e. it is found to map something other than the above function
>>>>>>> which is a contradiction.
>>>>>> The above function VIOLATES COMPUTER SCIENCE. You make no attempt to
>>>>>> show how my claim THAT IT VIOLATES COMPUTER SCIENCE IS INCORRECT you
>>>>>> simply take that same quote from a computer science textbook as the
>>>>>> infallible word-of-God.
> What does it violate?
> 
>>>>> All you are doing is showing that you don't understand proof by
>>>>> contradiction,
>>>> Not at all. The COMPUTER SCIENCE of your requirements IS WRONG!
>>> No, YOU don't understand what Computer Science actually is talking
>>> about.
>> Every function computed by a model of computation must apply a specific
>> sequence of steps that are specified by the model to the actual finite
>> string input.

> You are very confused. An algorithm or program computes a function.
> 

Nothing computes a function unless it applies a specific
set of rules to its actual input to derive its output.
Anything that ignores its input is not computing a function.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer