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On 7/31/2024 2:42 AM, Mikko wrote:You have not proven that there is no conditional instructionsOn 2024-07-30 14:21:02 +0000, olcott said:A proof is any sequence of steps such that the conclusion
On 7/30/2024 1:52 AM, Mikko wrote:As that part does not show the anwer it seems best to assume that theyOn 2024-07-29 14:07:53 +0000, olcott said:*Its all in the part that you erased*
HHH(Infinite_Recursion) and HHH(DDD) show the same non-haltingHard to believe as their behaviour is so different and you don't
behavior pattern in their derived execution traces of their
inputs.
say what pattern the see.
*Infinite_Recursion correctly emulated by HHH*
*THREE lines repeat with no conditional branch instructions*
Begin Local Halt Decider Simulation Execution Trace Stored at:113934
[0000215a][00113924][00113928] 55 push ebp ; 1st line
[0000215b][00113924][00113928] 8bec mov ebp,esp ; 2nd line
[0000215d][00113920][00002162] e8f8ffffff call 0000215a ; 3rd line
[0000215a][0011391c][00113924] 55 push ebp ; 1st line
[0000215b][0011391c][00113924] 8bec mov ebp,esp ; 2nd line
[0000215d][00113918][00002162] e8f8ffffff call 0000215a ; 3rd line
Local Halt Decider: Infinite Recursion Detected Simulation Stopped
*DDD correctly emulated by HHH*
*FOUR lines repeat with no conditional branch instructions*
Begin Local Halt Decider Simulation Execution Trace Stored at:113895
[00002177][00113885][00113889] 55 push ebp ; 1st line
[00002178][00113885][00113889] 8bec mov ebp,esp ; 2nd line
[0000217a][00113881][00002177] 6877210000 push 00002177 ; push DDD
[0000217f][0011387d][00002184] e853f4ffff call 000015d7 ; call HHH
[00002177][0015e2ad][0015e2b1] 55 push ebp ; 1st line
[00002178][0015e2ad][0015e2b1] 8bec mov ebp,esp ; 2nd line
[0000217a][0015e2a9][00002177] 6877210000 push 00002177 ; push DDD
[0000217f][0015e2a5][00002184] e853f4ffff call 000015d7 ; call HHH
Local Halt Decider: Infinite Recursion Detected Simulation Stopped
do not see the same pattern or the pattern is not a real non-halting
behaviour pattern. Of course, if a proof is ever presented, we may need
to reconsider, but it is very unlikely that any such proof will ever
be presented.
is a necessary consequence of its basis.
Proving that DDD correctly emulated by HHH matches the
infinite recursion behavior pattern.
(a) The semantics of the x86 language.
(b) the design of HHH provided below.
(c) The definition of infinite recursion provided below.
*Infinite recursion behavior pattern*
An emulated sequence of instructions that has no conditional
branch instructions in this sequence is exactly repeated when
it calls the same function with the same parameters again.
As long as the called function can be determined to never
return this proves infinite recursion.
HHH continues to emulate DDD until DDD halts* or DDD provesIn particular, you must prove that this determination does
that it must be aborted.
This proves that no emulated HHH canIt does not prove anything as long as it is unproven itself.
possibly return to any emulated DDD, thus DDD never *halts.
*Halts terminates normally by reaching its own "ret" instruction.Not the "halts" of the Halting Problem. A halting computation is one
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