Just as it is easily verified that IF HH correctly simulated E, it never
aborts and returns an answer, so fails to be a decider.
>
> It is necessarily correct for HH to abort its simulation of E and reject
> E correctly simulated by HH
> E correctly simulated by HH
> E correctly simulated by HH
>
Nope, that is saying it is correct to give an answer based on false
assumptions.
HH either DOES correctly simulate E, and thus never anwwers, or HH
DOESN'T correctly simulate E and usies INVALID logic to claim its answer
is incorrecgt.
> as non-halting as soon as it detects the repeating state in
> E correctly simulated by HH
> E correctly simulated by HH
> E correctly simulated by HH
And there is no EXACTLY repeating state in E correctly simulated by HH,
as what HH sees as it simulates is:
it simulating the instructionss of E to the call to HH
then it simulating the code of HH simulating the instuctions of E utill
that reaches a call to HH
then it simulationg the code of HH simulating the code of HH simmulating
the instructions of E untill....
You never reach the EXACT same state.
Right, just what you are providing.
Remember, the ACTUAL question given to a Halting Decider is what is the
behavior of the machine its input describes, when that machine would be
actually run.
By the definiton of a UTM, that can be replaced by asking the Halting
Decider what is the behavior of the simulation done by a UTM simulating
the input to this halt decider.
Changing that simulation from a UTH to the Decider is just preforming a
Straw Man.
Your continued use of this just shows you are either totally ignorant of
the actual rules of logic or that you are just a pathological liar.
You will likely not actually respond to this, but just repeat your
claim, PROVING you don't actually HAVE a valid response to it.
Your REPUTATION is MUD, and for as long as you are remembered it will be
as the idiot that you have proven yourself to be.