Forgetting an Argument

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Abstract

The notion of forgetting, as considered in the famous paper by Lin and Reiter in 994 forget has been extensively studied in classical logic and more recently, in non-monotonic formalisms like logic programming. In this paper, we convey the idea of forgetting to another major AI formalism, namely Dung-style argumentation frameworks. Our approach is axiomatic-driven and not limited to any specific semantics: we propose semantical and syntactical desiderata encoding different criteria for what forgetting an argument might mean; analyze how these criteria relate to each other; and check whether the criteria can be satisfied in general. The analysis is done for a number of widely used argumentation semantics.
Our investigation shows that almost all desiderata are individually satisfiable. However, combinations of semantical and/or syntactical conditions reveal a much more interesting landscape. For instance, we found that the ad hoc approach to forgetting an argument, i.e., by the syntactical removal of the argument and all of its associated attacks, is too restrictive and only compatible with the two weakest semantical desiderata. Amongst the several interesting combinations identified, we showed that one satisfies a notion of minimal change and presented an algorithm that given an AF and argument , constructs a suitable AF satisfying the conditions in the combination.
Original languageEnglish
Title of host publicationProceedings of the 34th AAAI Conference on Artificial Intelligence
PublisherAAAI Press
Pages2750-2757
Volume34
Edition3
ISBN (Electronic)9781577358350
DOIs
Publication statusPublished - 3 Apr 2020

Keywords

  • Artificial intelligence
  • Argumentation
  • Non-monotonic reasoning

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