Does Turing-complete implies possibility of malware? [closed]

Posted by Mathematician82 on Programmers See other posts from Programmers or by Mathematician82
Published on 2013-05-30T16:35:02Z Indexed on 2013/06/29 22:28 UTC
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Is it possible to build an operating system that contains some Turing complete compiler (language?) but is unable to run any malware? Or is there any definition for a malware?

This question popped on my mind as I was wondering why Windows has more malware than Linux. If Linux contains a C programming language and its compiler, I think it is possible to write a Linux program that works similarly than Windows viruses. But there are less malware for Linux than for Windows although there is a Wine for Linux to simulate Windows programs.

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