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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: No decider is ever accountable for the behavior of the
 computation that itself is contained within
Date: Sat, 27 Jul 2024 09:21:50 -0500
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On 7/27/2024 2:46 AM, Mikko wrote:
> On 2024-07-26 16:28:43 +0000, olcott said:
> 
>> No decider is ever accountable for the behavior of the
>> computation that itself is contained within.
> 
> That claim is fully unjustified. How do you even define "accountable"
> in the context of computations, automata, and deciders?
> 

int sum(int x, int y){ return x + y; }
sum(5,6) is not accountable for reporting sum(3,2).
It computes the mapping from its input to the value of their sum.

HHH must compute the mapping from its input finite string
of the x86 machine code of DDD to the behavior that this
finite string specifies and then report on the halt status
of this behavior.

The input to HHH(DDD) specifies the equivalent of infinite
recursion as fully elaborated in another reply.


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