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Categorical data-specifications. (English) Zbl 0919.18001
Summary: We introduce MD-sketches, which are a particular kind of Finite Sum sketches. Two interesting results about MD-sketches are proved. First, we show that, given two MD-sketches, it is algorithmically decidable whether their model categories are equivalent. Next we show that data-specifications as used in database-design and software engineering, can be translated to MD-sketches. As a corollary, we obtain that equivalence of data-specifications is decidable.

MSC:
18A25 Functor categories, comma categories
68P15 Database theory
18C99 Categories and theories
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