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On 2025-06-28 13:51:21 +0000, olcott said:Because no one ever thought of a simulating partial halt
On 6/28/2025 6:56 AM, Mikko wrote:If you use Turing's original form of Turing maches then it is best toOn 2025-06-27 14:26:41 +0000, olcott said:>
>On 6/27/2025 1:42 AM, Mikko wrote:>On 2025-06-27 04:21:01 +0000, olcott said:>
>On 6/26/2025 5:20 AM, Mikko wrote:>>>>In computer science the only measure of non-halting is the>
possibility to execute an unlimited number of steps without
halting. An execution of a limited number of steps does not
count as non-haltign.
Halting means reaching a final halt state.
And non-halting means unlimited execution.
Not at all. The measure has always been can't possibly reach
final halt state.
In Post's simplified version, which is the most commonly used one,
a computation halts when there is no applicable rule to specify
the next action.
It is best to use the standard measure of halting
as reaching a final halt state.
use Turing's definition of halting. If you are using some usual form
then the usual criterion that halting means inability to contimue.
Otherwise you get the paradox that a computation cannot be continued
but it has not halted, either.
This very simple proof seems too difficult for anyoneIf we don't do this then we get psychotic ideas like Richard's thatIt is a sin to lie about other people.
we cannot know that a computation does not halt until after we
simulate it forever.
Anyway, you don't know that a computation does not halt unless you
can prove it. There is no method that can find a proof in all cases
but that doesn't prevent from finding a proof for some non-halting
cases.
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