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It could be that the two languages did not appear to interact directly. Not only that, but they did not interact with third languages that interacted with each of them.

There is, however, another possibility. If my language uses words from the English language and only that but I add the letter 'a' before each word I will get:

Athe aintersection aof athese atwo alanguages awill abe aa anull aset.

I can hardly claim that my language is not related to English! And after a moment of puzzlement most English speakers will know exactly what that sentence says even if every word is a new word for them.

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Q: What can be concluded if the intersection of two regular languages is the empty language?
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