Let's say aliens (someone completely new to the language) want to talk with users of it. They've obtained a complete dictionary, and a large selection of natural text (for this hypothetical situation, let's say the full Wikipedia database dump of that language) and unlimited computing power.
Assuming they successfully obtain these two pieces of data in textual form, would it be possible with this data to reconstruct the language?
For the sake of this situation, let's say the data is in textual form not in binary (they can see the exact content of it as we would read it) and let's assume they have obtained the correct information (someone who speaks the language gave it to them).
I'm looking at this from the point of view of aliens; for a story of mine. Could they possibly learn our languages? How?