1. Complexity results for probabilistic datalog±
- Author
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Ceylan, II, Lukasiewicz, T, Peñaloza, R, Fox, MS, and Kaminka, GA
- Abstract
We study the query evaluation problem in probabilistic databases in the presence of probabilistic existential rules. Our focus is on the Datalog± family of languages for which we define the probabilistic counterpart using a flexible and compact encoding of probabilities. This formalism can be viewed as a generalization of probabilistic databases, as it allows to generate new facts from the given ones, using so-called tuple-generating dependencies, or existential rules. We study the computational cost of this additional expressiveness under two different semantics. First, we use a conventional approach and assume that the probabilistic knowledge base is consistent and employ the standard possible world semantics. Thereafter, we introduce a probabilistic inconsistency-tolerant semantics, which we call inconsistency-tolerant possible world semantics. For both of these cases, we provide a thorough complexity analysis relative to different languages, drawing a complete picture of the complexity of probabilistic query answering in this family.
- Published
- 2016