Recovering Consistency by Forgetting Inconsistency

  • Authors:
  • Sylvie Coste-Marquis;Pierre Marquis

  • Affiliations:
  • Université Lille-Nord de France, Artois, CRIL UMR CNRS, Lens, France 8188;Université Lille-Nord de France, Artois, CRIL UMR CNRS, Lens, France 8188

  • Venue:
  • JELIA '08 Proceedings of the 11th European conference on Logics in Artificial Intelligence
  • Year:
  • 2008

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Abstract

In this paper, we introduce and study a new paraconsistent inference relation 茂戮驴 cin the setting of 3-valued paraconsistent logics. Using inconsistency forgetting as a key mechanism for recovering consistency, it guarantees that the deductive closure $Cn_{\models_c}(\Sigma)$ of any belief base Σis classically consistent and classically closed. This strong feature, not shared by previous inference relations in the same setting, allows to interpret an inconsistent belief base as a set of classical worlds (hence to reason classically from them).