On 7/21/2024 9:54 AM, joes wrote:
Am Sun, 21 Jul 2024 09:34:57 -0500 schrieb olcott:
On 7/21/2024 9:24 AM, joes wrote:A deterministic program can't change. It was always going to be aborted.
Am Sun, 21 Jul 2024 08:08:53 -0500 schrieb olcott:
On 7/21/2024 6:37 AM, Richard Damon wrote:
On 7/21/24 12:15 AM, olcott wrote:
The behavior of emulated DDD after it has been aborted changes the(b) We know that a decider is not allowed to report on the behaviorThat IS exactly the input.
computation that itself is contained within. Deciders only take finite >>>>> string inputs. They do not take executing processes as inputs. Thus
HHH is not allowed to report on the behavior of this int main() {
DDD(); }.
behavior of the directly existed DDD.
None-the-less we can examine the exhaustively complete set
of every HHH/DDD pair that can possibly exist and find that
all of the HHH instances that never abort their simulation
of DDD never stop running.
When the second call of what would otherwise be infinite recursion isThe second call stops simulating just like all others.
required to be aborted to prevent the infinite execution of the first
call this proves that HHH(DDD)==0 is correct even though the directly
executed DDD() halts.
HHH is not an UTM.Unless you think the idea of UTMs is wrong-headed nonsense the behaviorTherefore we map the finite string input to HHH(DDD) to the behavior >>>>> that it species on the basis of DDD correctly emulated by any pureThe basis is the direct behaviour.
function HHH that can possibly exist.
of DDD correctly emulated by HHH determines the actual behavior
specified by the input to HHH(DDD).
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