KR2024Proceedings of the 21st International Conference on Principles of Knowledge Representation and ReasoningProceedings of the 21st International Conference on Principles of Knowledge Representation and Reasoning

Hanoi, Vietnam. November 2-8, 2024.

Edited by
  1. Pierre Marquis,
  2. Magdalena Ortiz
  3. Maurice Pagnucco

ISSN: 2334-1033
ISBN: 978-1-956792-05-8

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Published by

Copyright © 2024 International Joint Conferences on Artificial Intelligence Organization

Cost-Based Semantics for Querying Inconsistent Weighted Knowledge Bases

  1. Meghyn Bienvenu(Univ. Bordeaux, CNRS, Bordeaux INP, LaBRI, UMR 5800, Japanese-French Laboratory for Informatics, CNRS, NII, IRL 2537)
  2. Camille Bourgaux(DI ENS, ENS, CNRS, PSL University & Inria)
  3. Robin Jean(Univ. Bordeaux, CNRS, Bordeaux INP, LaBRI, UMR 5800)
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BibTeX
https://doi.org/10.24963/kr.2024/16

Keywords

  1. Description logics-General
  2. Inconsistency- and exception-tolerant reasoning-General
  3. Computational aspects of knowledge representation-General

Abstract

In this paper, we explore a quantitative approach to querying inconsistent description logic knowledge bases. We consider weighted knowledge bases in which both axioms and assertions have (possibly infinite) weights, which are used to assign a cost to each interpretation based upon the axioms and assertions it violates. Two notions of certain and possible answer are defined by either considering interpretations whose cost does not exceed a given bound or restricting attention to optimal-cost interpretations. Our main contribution is a comprehensive analysis of the combined and data complexity of bounded cost satisfiability and certain and possible answer recognition, for description logics between ELbot and ALCO.