This is a profoundly stupid article, as the statement 'all ravens are black' is equivalent to saying 'all non-ravens are non-black'. No information is contained in the second statement that is not contained in the first, and no information is contained in the first that is not contained in the second.
In the same way, a negative database does not contain any information a regular database contains, nor does a regular database contain any information a negative database contains. They are two equivalent ways of systemizing the same data. Most computers have an implicit regular database, in the sense each bit of memory is identified as unique, ie 0110 is different from 1001, even though both bytes contain the same number of zeros and ones, but the order matters when allocating data to memory.
Conclusion: negative databases are basically uninteresting.