Reasoning about dialogical strategies

  • Authors:
  • Magdalena Kacprzak;Katarzyna Budzynska

  • Affiliations:
  • Faculty of Computer Science, Bialystok University of Technology, Poland;Institute of Philosophy and Sociology, Polish Academy of Sciences, Poland

  • Venue:
  • KES'12 Proceedings of the 16th international conference on Knowledge Engineering, Machine Learning and Lattice Computing with Applications
  • Year:
  • 2012

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Abstract

The paper proposes an extension of the modal logic ${\cal AG}_n$ with operators for reasoning about different types of strategies which agents may adopt in order to win a dialogue game. We model agent communication using the paradigm of formal systems of dialogues and in particular, a system proposed by Prakken. In the paper, the traditional notion of a winning strategy is extended with a notion of a strategy giving a chance for success and a notion of a strategy giving a particular degree of chances for victory. Then, using the framework of Alternating-time Temporal Logic (ATL) we specify ${\cal AG}_n$ operators which allow the investigation of the dialogical strategies.