@inproceedings{ahme-etal-2021kr,
title = {Reasoning about Explanations for Non-validation in {SHACL}},
author= {Shqiponja Ahmetaj and Robert David and Magdalena Ortiz and Axel Polleres and Bojken Shehu and Mantas \v{S}imkus},
year = 2021,
month = nov,
day = {3--12},
abstract = {The Shapes Constraint Language (SHACL) is a recently standardized
  language for describing and validating constraints over RDF
  graphs. The SHACL specification describes the so-called
  \emph{validation reports}, which are meant to explain to the users
  the outcome of validating an RDF graph against a collection of
  constraints. Specifically, explaining the reasons why the input
  graph does not satisfy the constraints is challenging. In fact, the
  current SHACL standard leaves it open on how such explanations can
  be provided to the users. In this paper, inspired by works on
  logic-based abduction and database repairs, we study the problem of
  explaining non-validation of SHACL constraints. In particular, in
  our framework non-validation is explained using the notion of a
  repair, i.e.,a collection of additions and deletions whose
  application on an input graph results in a repaired graph that does
  satisfy the given SHACL constraints. We define a collection of
  decision problems for reasoning about explanations, possibly
  restricting to explanations that are minimal with respect to
  cardinality or set inclusion. We provide a detailed characterization
  of the computational complexity of those reasoning tasks, including
  the combined and the data complexity.},
url = {http://polleres.net/publications/ahme-etal-2021KR.pdf},
doi = {https://doi.org/10.24963/kr.2021/2},
booktitle = {Proceedings of the 18th International Conference on Principles of Knowledge Representation and Reasoning (KR 2021)},
}

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