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From: olcott <polcott2@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: =?UTF-8?Q?Re=3A_Working_out_the_details_of_the_steps_of_=C4=A4=2EH_?=
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Date: Fri, 8 Mar 2024 21:14:34 -0600
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On 3/8/2024 9:03 PM, Richard Damon wrote:
> On 3/8/24 6:34 PM, olcott wrote:
>> On 3/8/2024 8:24 PM, Richard Damon wrote:
>>> The Mapping describes the answer that we want for ALL possible 
>>> inputs. It becomes the specification of the problem.
>>>
>>
>> You still can't understand how computing the mapping
>> from all inputs to final state Ĥ.Hqn or non final state
>> Ĥ.Hqy on the basis of the indirect criteria also causes
>> H ⟨Ĥ⟩ ⟨Ĥ⟩ <H> to correctly compute halting.
>>
> 
> Because your "indirect Criteria" map differs from the DEFINED DIRECT 
> Criteria map.
> 
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

The indirect criteria provides Ĥ.H the basis for
which wrong answer it must return and provides
H with the basis to return the correct halt status.

So far everyone in world the has no idea what
basis Ĥ.H could use to determine its wrong answer.
*They leave it wide open with a question mark*

When we hypothesize a basis such that H gets
the correct answer and Ĥ.H can provide some
answer then this question mark is resolved.


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