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On the Decidability of a Fragment of preferential LTL

Authors Anasse Chafik, Fahima Cheikh-Alili, Jean-François Condotta, Ivan Varzinczak

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Anasse Chafik
  • CRIL, University of Artois & CNRS, Arras, France
Fahima Cheikh-Alili
  • CRIL, University of Artois & CNRS, Arras, France
Jean-François Condotta
  • CRIL, University of Artois & CNRS, Arras, France
Ivan Varzinczak
  • CRIL, University of Artois & CNRS, Arras, France

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Anasse Chafik, Fahima Cheikh-Alili, Jean-François Condotta, and Ivan Varzinczak. On the Decidability of a Fragment of preferential LTL. In 27th International Symposium on Temporal Representation and Reasoning (TIME 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 178, pp. 19:1-19:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.TIME.2020.19

Abstract

Linear Temporal Logic (LTL) has found extensive applications in Computer Science and Artificial Intelligence, notably as a formal framework for representing and verifying computer systems that vary over time. Non-monotonic reasoning, on the other hand, allows us to formalize and reason with exceptions and the dynamics of information. The goal of this paper is therefore to enrich temporal formalisms with non-monotonic reasoning features. We do so by investigating a preferential semantics for defeasible LTL along the lines of that extensively studied by Kraus et al. in the propositional case and recently extended to modal and description logics. The main contribution of the paper is a decidability result for a meaningful fragment of preferential LTL that can serve as the basis for further exploration of defeasibility in temporal formalisms.

Subject Classification

ACM Subject Classification
  • Theory of computation → Modal and temporal logics
Keywords
  • Knowledge Representation
  • non-monotonic reasoning
  • temporal logic

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