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paulfchristiano comments on Cryptographic Boxes for Unfriendly AI - Less Wrong
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The problem is that the only thing Haskell can do with functions is use them as black boxes, to the best of my knowledge. To apply a function to homomorphically encrypted data, you can't use it as a black box---you need to use an explicit description of the function.
Well, my point was that you can do something akin to Perl's
taint- force operations to be done only within a particular type context.So you could do something similar to the ST monad but instead of accepting functions which generate any type output, it operates on, say, a parse tree/ADT representing a Lisp function which is evaluated with the rest of the homomorphic data.
But it's not really important; any such strategy would probably be done in a new language (for efficiency, if nothing else) and the into/escape invariant enforced by manual code inspection or something.