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For question borderline with, or having application to, computer science. Consider also posting http://cs.stackexchange.com/ or http://cstheory.stackexchange.com/ instead of here, if appropriate.

2 votes

Is there an easy decision algorithm for the inhabitation problem for simple types?

Your algorithm may not terminate. Consider $x : \alpha \to \alpha \vdash X : \alpha$. If you select $x : \alpha \to \alpha$ according to (i), then $X = xY$ and you end up with the same problem $x : \a …
lukasz's user avatar
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