POV-Ray : Newsgroups : povray.off-topic : Turing determination : Re: Turing determination Server Time
5 Sep 2024 17:15:10 EDT (-0400)
  Re: Turing determination  
From: somebody
Date: 22 Jul 2009 14:27:42
Message: <4a675a1e$1@news.povray.org>
"Warp" <war### [at] tagpovrayorg> wrote in message
news:4a671eb6@news.povray.org...
> Invisible <voi### [at] devnull> wrote:

> > It's common knowledge that if you write an arbitrary program in a
> > Turing-complete programming language, it is impossible to determine
> > whether the program will ever halt.

>   That's not stated correctly. It's impossible to create an algorithm
which
> would tell for all possible programs whether they terminate or not.

Even so, one has to be careful, for it's possible to determine if any such
finite program will halt or not - just run the program until all possible
states would be exhausted.


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