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arXiv · 2407.14907

Monotone Rewritability and the Analysis of Queries, Views, and Rules

Michael Benedikt·Stanislav Kikot·Johannes Marti·Piotr Ostropolski-Nalewaja
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Abstract

We study the interaction of views, queries, and background knowledge in the form of existential rules. The motivating questions concern monotonic determinacy of a query using views w.r.t. rules, which refers to the ability to recover the query answer from the views via a monotone function. We study the decidability of monotonic determinacy, and compare with variations that require the ``recovery function'' to be in a well-known monotone query language, such as conjunctive queries or Datalog. Surprisingly, we find that even in the presence of basic existential rules, the borderline between well-behaved and badly-behaved answerability differs radically from the unconstrained case. In order to understand this boundary, we require new results concerning entailment problems involving views and rules.

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Michael Benedikt, Stanislav Kikot, Johannes Marti, Piotr Ostropolski-Nalewaja. 2024-07-20. Monotone Rewritability and the Analysis of Queries, Views, and Rules. https://arxiv.org/abs/2407.14907

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