Dialectic semantics for argumentation frameworks

  • Authors:
  • H. Jakobovits;D. Vermeir

  • Affiliations:
  • Dept. of Computer Science, Free University of Brussels, VUB;Dept. of Computer Science, Free University of Brussels, VUB

  • Venue:
  • ICAIL '99 Proceedings of the 7th international conference on Artificial intelligence and law
  • Year:
  • 1999

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Abstract

We provide a formalism for the study of dialogues, where a dialogue is a two-person game, initiated by the proponent who defends a proposed thesis. We examine several different winning criteria and several different dialogue types, where a dialogue type is determined by a set of positions, an attack relation between positions and a legal-move function. We examine two proof theories, where a proof theory is determined by a dialogue type and a winning criterion. For each of the proof theories we supply a corresponding declarative semantics.