The Complexity of Conjunctive Query Abduction in DL-Lite

Diego Calvanese, Magdalena Ortiz, Mantas Simkus, and Giorgio Stefanoni

Proc. of the 24th Int. Workshop on Description Logics (DL 2011). Volume 745 of CEUR Workshop Proceedings, 2011.

In order to meet usability requirements, most logic-based applications provide explanation facilities for reasoning services. This holds also for DLs, where research focused on the explanation of both TBox reasoning and, more recently, query answering. Besides explaining the presence of a tuple in a query answer, it is important to explain also why a given tuple is missing. We address this latter problem for (conjunctive) query answering over DL-Lite ontologies, by adopting abductive reasoning, that is, we look for additions to the ABox that force a given tuple to be in the result. As reasoning tasks, we consider existence and recognition of an explanation, and relevance and necessity of a certain assertion for an explanation. We characterize the computational complexity of these problems for subset minimal and cardinality minimal solutions.

   title = "The Complexity of Conjunctive Query Abduction in DL-Lite",
   year = "2011",
   author = "Diego Calvanese and Magdalena Ortiz and Mantas Simkus and
Giorgio Stefanoni",
   booktitle = "Proc. of the 24th Int. Workshop on Description Logics
(DL 2011)",
   pages = "81--91",
   volume = "745",
   series = "CEUR Workshop Proceedings,",
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