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From: joes <noreply@example.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Halting Problem is wrong two different ways
Date: Wed, 5 Jun 2024 18:25:13 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Wed, 05 Jun 2024 08:18:24 -0500 schrieb olcott:
> On 6/5/2024 2:13 AM, Mikko wrote:
>> On 2024-06-04 17:40:47 +0000, olcott said:
>>> On 6/4/2024 3:28 AM, Mikko wrote:
>>>> On 2024-06-03 18:14:39 +0000, olcott said:
>>>>> On 6/3/2024 9:27 AM, Mikko wrote:
>>>>>> On 2024-06-03 12:20:01 +0000, olcott said:
>>>>>>> On 6/3/2024 4:42 AM, Ben Bacarisse wrote:
>>>>>>>> Mike Terry <news.dead.person.stones@darjeeling.plus.com> writes:

>> Nice to see that you don't disagree with my observation that your
>> statement
>>>>>>> Deciders only compute the mapping *from their inputs* to their own
>>>>>>> accept or reject state.
>> does not restrict what a problem statement can specify.
>> 
> Sure it does.
> int sum(int x, int y) { return x + y; }
> sum(3,4) cannot correctly return the sum of 5 + 6.
> 
> H(D,D) cannot possibly return the halt status of D(D) because D calls H
> in recursive simulation thus forcing the behavior of D correctly
> simulated by H to be different than the behavior of the directly
> executed D(D).
Then D is not a simulator.

> Requiring H(D,D) to return the halt status of D(D) is exactly the same
> as requiring sum(3,4) to return the sum of 5 + 6.
Uh, what? Wasn't H specified to return exactly that?

-- 
joes