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A Framework for Assessing Inconsistency in Disjunctive Temporal Problems

Authors Jean-François Condotta , Yakoub Salhi

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Jean-François Condotta
  • CRIL UMR 8188, Université d'Artois & CNRS, Lens, France
Yakoub Salhi
  • CRIL UMR 8188, Université d'Artois & CNRS, Lens, France

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Jean-François Condotta and Yakoub Salhi. A Framework for Assessing Inconsistency in Disjunctive Temporal Problems. In 31st International Symposium on Temporal Representation and Reasoning (TIME 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 318, pp. 15:1-15:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.TIME.2024.15

Abstract

Inconsistency measures serve to quantify the level of contradiction present within a knowledge base. They can be used for both consistency restoration and information extraction. In this article, we specifically explore inconsistency measures applicable to Disjunctive Temporal Problems (DTPs). We present a framework that extends traditional propositional logic approaches to DTPs, incorporating both new postulates and adaptations of existing ones. We identify and elaborate on various properties that establish relationships among these postulates. Furthermore, we introduce multiple inconsistency measures, adopting both a conventional approach that particularly leverages Minimal Inconsistent Subsets and a DTP-specific strategy based on constraint relaxation. Finally, we show the applicability of the inconsistency measures in DTPs through two real-world applications.

Subject Classification

ACM Subject Classification
  • Computing methodologies → Temporal reasoning
Keywords
  • Disjunctive Temporal Problems
  • Inconsistency Measures
  • Temporal Reasoning

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