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On 4/2/2025 6:16 AM, Richard Damon wrote:In other words, changing HHH results in HHH(DDD) not halting.On 4/1/25 10:37 PM, olcott wrote:When DDD emulated by HHH for an infinite number of stepsOn 4/1/2025 8:13 PM, Richard Damon wrote:>On 4/1/25 7:35 PM, olcott wrote:>On 4/1/2025 5:36 AM, Richard Damon wrote:>On 3/31/25 10:19 PM, olcott wrote:>>>
*Simulating termination analyzer Principle*
It is always correct for any simulating termination
analyzer to stop simulating and reject any input
that would otherwise prevent its own termination.
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But DDD doesn't prevent its own terminatation, as it calls an HHH that WILL abort its emulation and return and answer.
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You know that DDD stopping running and DDD reaching its
final halt state are not the same thing you damned liar.
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Right, the DDD who's simulation is stopped hasn't shown non-halting behavior, just not-yet-halted.
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You already admitted that you are lying about this.
DDD emulated by HHH for an infinite number of steps
never reaches its final halt state.
But that isn't something that happens with THIS HHH, since it doesn't do that.
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never halts then as soon as HHH correctly infers this it
has its basis to reject DDD.
https://en.wikipedia.org/wiki/Mathematical_induction
DDD emulated by HHH does not reach its final halt state
with a single emulation of DDD by HHH.
DDD emulated by HHH does not reach its final halt state
with N recursive emulations of HHH emulating itself emulating DDD.
Therefore
DDD emulated by HHH does not reach its final halt state
and can be rejected as non-halting.
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