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int DD()In other words 'non terminating behavior' means that *HHH* was unable to reach the 'ret' instruction. So in Olcott's terminology 'non terminating behavior' is a property of the simulator of DD, not of DD in the context of the x86 language. 'Non termination behaviour' used in this way means only one thing: HHH could not possibly reach the end of the simulation.
{
int Halt_Status = HHH(DD);
if (Halt_Status)
HERE: goto HERE;
return Halt_Status;
}
_DD()
[00002133] 55 push ebp ; housekeeping
[00002134] 8bec mov ebp,esp ; housekeeping
[00002136] 51 push ecx ; make space for local
[00002137] 6833210000 push 00002133 ; push DD
[0000213c] e882f4ffff call 000015c3 ; call HHH(DD)
[00002141] 83c404 add esp,+04
[00002144] 8945fc mov [ebp-04],eax
[00002147] 837dfc00 cmp dword [ebp-04],+00
[0000214b] 7402 jz 0000214f
[0000214d] ebfe jmp 0000214d
[0000214f] 8b45fc mov eax,[ebp-04]
[00002152] 8be5 mov esp,ebp
[00002154] 5d pop ebp
[00002155] c3 ret
Size in bytes:(0035) [00002155]
DD emulated by HHH according to the behavior that DD
specifies cannot possibly reach its own "ret" instruction
and terminate normally.
This process computes the mapping from the actual input
(not any other damn thing) finite string to the non
terminating behavior that this finite specifies when
it calls its own emulator in recursive emulation.
Another different instance that does not call its ownExactly the same instance of the finite string DD, when given for direct execution, or to correct simulator, does reach the 'ret' instruction.
emulator in recursive emulation is not the same damn thing.
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