On 8/12/2025 1:42 PM, dbush wrote:Deflection.
On 8/12/2025 2:39 PM, olcott wrote:
On 8/12/2025 1:32 PM, dbush wrote:
On 8/12/2025 2:25 PM, olcott wrote:
On 8/12/2025 1:17 PM, dbush wrote:
On 8/12/2025 2:04 PM, olcott wrote:
On 8/12/2025 12:52 PM, dbush wrote:
On 8/12/2025 1:47 PM, olcott wrote:
On 8/12/2025 12:37 PM, dbush wrote:
The problem is that algorithm HHH does one thing and one thing >>>>>>>>>> only, and that's simulate algorithm DD for some fixed number of >>>>>>>>>> steps N.
Anything that simulates algorithm DD for a different number of >>>>>>>>>> steps is not algorithm HHH and therefore irrelevant.
*The actual question is this*
Does any HHH/DD pair exist such that N steps of DD are correctly >>>>>>>>> simulated by its HHH and this DDD reaches its own simulated
final halt state?
You can't have your cake and eat it too. They might use the sameIn other words, there is no infinite set of HHH/DDD pairs but aIt is the exact same algorithm of HHH simulating N steps of DD.In other words, HHH is deciding on a set of machine code
instructions other that it was given. i.e. a non-input.
Halt deciders can only decide on their inputs, i.e. the algorithm >>>>>>>> that the finite string input is defined to specify, i.e. DD. They >>>>>>>> cannot decide on non-inputs, i.e. any alternate implementation of >>>>>>>> function HHH.
Human beings examine the infinite set of HHH/DDD pairs so that
they can understand that no DDD correctly simulated by any HHH
Each of which is a different algorithm
single HHH and a single DDD, and HHH does not correctly simulate DDD
because it aborts.
You are being ridiculous. They are clearly not identical.There is an infinite set of HHH/DD pairs implementing the exact same
algorithm
FALSE!So the bubble sort algorithm does not exist because there are slight variations with how this algorithm can be implemented.
An algorithm is a fixed, immutable sequence of instructions.
Well, they are similar programs with a different parameter.So if a given implementation of function H is simulating a different
number of steps from another implementation, by definition they are not
the same algorithm.
On 8/12/2025 2:50 PM, joes wrote:
Am Tue, 12 Aug 2025 13:47:23 -0500 schrieb olcott:
On 8/12/2025 1:42 PM, dbush wrote:Deflection.
On 8/12/2025 2:39 PM, olcott wrote:
On 8/12/2025 1:32 PM, dbush wrote:
On 8/12/2025 2:25 PM, olcott wrote:
On 8/12/2025 1:17 PM, dbush wrote:
On 8/12/2025 2:04 PM, olcott wrote:
On 8/12/2025 12:52 PM, dbush wrote:
On 8/12/2025 1:47 PM, olcott wrote:
On 8/12/2025 12:37 PM, dbush wrote:
The problem is that algorithm HHH does one thing and one thing >>>>>>>>>>>> only, and that's simulate algorithm DD for some fixed number of >>>>>>>>>>>> steps N.
Anything that simulates algorithm DD for a different number of >>>>>>>>>>>> steps is not algorithm HHH and therefore irrelevant.
*The actual question is this*
Does any HHH/DD pair exist such that N steps of DD are correctly >>>>>>>>>>> simulated by its HHH and this DDD reaches its own simulated >>>>>>>>>>> final halt state?
You can't have your cake and eat it too. They might use the sameIn other words, there is no infinite set of HHH/DDD pairs but aIt is the exact same algorithm of HHH simulating N steps of DD.Each of which is a different algorithmIn other words, HHH is deciding on a set of machine code
instructions other that it was given. i.e. a non-input.
Halt deciders can only decide on their inputs, i.e. the algorithm >>>>>>>>>> that the finite string input is defined to specify, i.e. DD. They >>>>>>>>>> cannot decide on non-inputs, i.e. any alternate implementation of >>>>>>>>>> function HHH.
Human beings examine the infinite set of HHH/DDD pairs so that >>>>>>>>> they can understand that no DDD correctly simulated by any HHH >>>>>>>>
single HHH and a single DDD, and HHH does not correctly simulate DDD >>>>>> because it aborts.
algorithm, but they are not interchangeable.
You are being ridiculous. They are clearly not identical.There is an infinite set of HHH/DD pairs implementing the exact same >>>>> algorithm
FALSE!So the bubble sort algorithm does not exist because there are slight
An algorithm is a fixed, immutable sequence of instructions.
variations with how this algorithm can be implemented.
Well, they are similar programs with a different parameter.So if a given implementation of function H is simulating a different
number of steps from another implementation, by definition they are not >>>> the same algorithm.
The different number of steps merely confirms that
DD correctly simulated by HHH cannot possibly halt.
On 8/13/2025 3:55 AM, Fred. Zwarts wrote:
Op 12.aug.2025 om 22:22 schreef olcott:
On 8/12/2025 2:50 PM, joes wrote:
Am Tue, 12 Aug 2025 13:47:23 -0500 schrieb olcott:
On 8/12/2025 1:42 PM, dbush wrote:Deflection.
On 8/12/2025 2:39 PM, olcott wrote:
On 8/12/2025 1:32 PM, dbush wrote:
On 8/12/2025 2:25 PM, olcott wrote:
On 8/12/2025 1:17 PM, dbush wrote:
On 8/12/2025 2:04 PM, olcott wrote:
On 8/12/2025 12:52 PM, dbush wrote:
On 8/12/2025 1:47 PM, olcott wrote:
On 8/12/2025 12:37 PM, dbush wrote:
The problem is that algorithm HHH does one thing and one >>>>>>>>>>>>>> thing
only, and that's simulate algorithm DD for some fixed >>>>>>>>>>>>>> number of
steps N.
Anything that simulates algorithm DD for a different >>>>>>>>>>>>>> number of
steps is not algorithm HHH and therefore irrelevant.
*The actual question is this*
Does any HHH/DD pair exist such that N steps of DD are >>>>>>>>>>>>> correctly
simulated by its HHH and this DDD reaches its own simulated >>>>>>>>>>>>> final halt state?
You can't have your cake and eat it too. They might use the samebecause it aborts.It is the exact same algorithm of HHH simulating N steps of DD. >>>>>>>> In other words, there is no infinite set of HHH/DDD pairs but a >>>>>>>> single HHH and a single DDD, and HHH does not correctly simulate >>>>>>>> DDDEach of which is a different algorithmIn other words, HHH is deciding on a set of machine code >>>>>>>>>>>> instructions other that it was given. i.e. a non-input. >>>>>>>>>>>> Halt deciders can only decide on their inputs, i.e. the >>>>>>>>>>>> algorithm
that the finite string input is defined to specify, i.e. DD. >>>>>>>>>>>> They
cannot decide on non-inputs, i.e. any alternate
implementation of
function HHH.
Human beings examine the infinite set of HHH/DDD pairs so that >>>>>>>>>>> they can understand that no DDD correctly simulated by any HHH >>>>>>>>>>
algorithm, but they are not interchangeable.
You are being ridiculous. They are clearly not identical.There is an infinite set of HHH/DD pairs implementing the exact same >>>>>>> algorithm
FALSE!So the bubble sort algorithm does not exist because there are slight >>>>> variations with how this algorithm can be implemented.
An algorithm is a fixed, immutable sequence of instructions.
Well, they are similar programs with a different parameter.So if a given implementation of function H is simulating a different >>>>>> number of steps from another implementation, by definition they
are not
the same algorithm.
The different number of steps merely confirms that
DD correctly simulated by HHH cannot possibly halt.
No, they prove that HHH fails to reach the final halt state.
Not reaching the final halt state because the computer is switched
off, or because the simulation is aborted, does not change the fact
that a final halt state is specified in this input.
It is unreachable by DD correctly simulated by HHH
and reachable by DD correctly simulated by HHH1.
HHH and HHH1 are identical except that DD calls HHH(DD)
(in recursive emulation) and does not call HHH1(DD) at all.
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