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From: Richard Damon <richard@damon-family.org>
Newsgroups: comp.theory,sci.logic
Subject: Re: Can D simulated by H terminate normally?
Date: Sat, 27 Apr 2024 20:49:28 -0400
Organization: i2pn2 (i2pn.org)
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On 4/27/24 8:17 PM, olcott wrote:
> Can D simulated by H terminate normally?
> 
> The x86utm operating system based on an open source x86 emulator.
> This system enables one C function to execute another C function
> in debug step mode. When H simulates D it creates a separate process
> context for D with its own memory, stack and virtual registers. H
> is able to simulate D simulating itself, thus the only limit to
> recursive simulations is RAM.
> 
> // The following is written in C
> //
> 01 typedef int (*ptr)(); // pointer to int function
> 02 int H(ptr x, ptr y)    // uses x86 emulator to simulate its input
> 03
> 04 int D(ptr x)
> 05 {
> 06   int Halt_Status = H(x, x);
> 07   if (Halt_Status)
> 08     HERE: goto HERE;
> 09   return Halt_Status;
> 10 }
> 11
> 12 void main()
> 13 {
> 14   D(D);
> 15 }
> 
> Execution Trace
> Line 14: main() invokes D(D)
> 
> keeps repeating (unless aborted)
> Line 06: simulated D(D) invokes simulated H(D,D) that simulates D(D)
> 
> Simulation invariant
> D correctly simulated by H cannot possibly reach its own line 09.
> 
> Is it dead obvious to everyone here when examining the execution
> trace of lines 14 and 06 above that D correctly simulated by H cannot
> possibly terminate normally by reaching its own line 09?
> 
> 

Except that you fail to mention that you have admitted that you are NOT 
working on the Halting Problem, despite trying to use terminology 
similar to it, but having stipulated definition that are in conflict 
with computaiton theory.

Note, "keeps repeating (unless aborted)" is a misleading statement, as 
your H will ALWAYS abort this input, and thus it NEVER will "Keep 
repeating".

You don't like me pointing out the problem because you prefer to be able 
to LIE to people about what you are doing.

You work has NOTHING to do with Halting, as your H/D are not even turing 
equivalenet to their namesakes in the proof you like to mention.