Such a program is able to exist, yes
...however...
Linux, like any responsible operating system, will throttle such a
program's behaviour, usually by allowing the program to crash, but cutting
it off before it kills the OS.
You will probably get a message and a core dump at run time.
On Sun, 12 Mar 2000, Irv Mullins wrote:
> Hello:
>
> I have written an evil function that calls itself recursively.
> Question: does linux provide protection against this type of
> mistake, or will it eventually eat up the stack or whatever, as
> it would on DOS, and crash the system?
>
> Thanks,
> Irv Mullins
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