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From: joes <noreply@example.org>
Newsgroups: comp.theory
Subject: Re: Halting Problem: What Constitutes Pathological Input
Date: Tue, 6 May 2025 20:22:41 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <db8999eda88b9152608e58380b8ef7d00862dbaa@i2pn2.org>
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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.

> HHH(DD) must emulate DD according to the rules of the x86 language.
> THIS DOES DERIVE THAT THE CORRECTLY EMULATED DD DOES NOT HALT.
It does derive that, but it is not correct.

> That everyone here thinks that HHH can simply ignore the rules of the
> x86 language and jump over the "call" instruction to the "ret"
> instruction seems quite stupid to me.
No, we think the call should actually be simulated completely, since
we know it returns.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.