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Does anyone know of any software to let you test relational algebra queries? By this I don't mean a database such as MySQL, something where the query can be input in some for of mathematical notation instead of SQL.

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I'm not sure how your supposed to "test" queries without an underlying data set to compare expected results to - in which case an RDBMS would be exactly what you need. Are you looking for a syntax checker? –  ItsNotObvious Sep 14 '11 at 19:46

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If you have any experience with programming languages such as Haskell or any of the ML-variants you could just use lists and map/filter/fold. Testing queries could then be achieved by using a testing framework such as QuickCheck (assuming you by "test" mean something like checking the result of a "query" satisfy some properties).

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