Just for the sake of precision:

On Oct 3, 2010, at 11:48 PM, Stephen Bloch wrote:
> But there is NO program, in ANY language, that takes in another program and 
> always tells correctly (in finite time) whether that other program contains 
> an infinite loop.

The "in ANY language" is too much: This is true of any _Turing complete_ 
language.
For instance, in the simply-typed lambda calculus, this program is easy, since 
any STLC program does terminate. (but of course then, STLC is not complete)

-- Éric
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