Abstract
Preferences allow more flexible and personalised queries in database systems. Evaluation of such a query means to select the maximal elements from the respective database w.r.t. the preference, which is a partial strict-order. We present a point-free calculus of such preferences and exemplify its use in proving algebraic laws about preferences that can be used in query optimisation. We show that this calculus can be mechanised using off-the-shelf automated first-order theorem provers.
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