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We address the issue of incorporating a particular yet expressive form ofintegrity constraints (namely, denial constraints) into probabilisticdatabases. To this aim, we move away from the common way of giving semantics toprobabilistic databases, which relies on considering a unique interpretation ofthe data, and address two fundamental problems: consistency checking and queryevaluation. The former consists in verifying whether there is an interpretationwhich conforms to both the marginal probabilities of the tuples and theintegrity constraints. The latter is the problem of answering queries under a"cautious" paradigm, taking into account all interpretations of the data inaccordance with the constraints. In this setting, we investigate the complexityof the above-mentioned problems, and identify several tractable cases ofpractical relevance.

Consistency Checking and Querying in Probabilistic Databases under Integrity Constraints