A logic for reasoning about ambiguity

  • Authors:

  • Joseph Y. Halpern;Willemien Kets

  • Affiliations:

  • Computer Science Dept., Cornell University, Ithaca, NY, United States;Kellogg School of Management, Northwestern University, Evanston, IL, United States

  • Venue:
  • Artificial Intelligence
  • Year:
  • 2014

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Abstract

Standard models of multi-agent modal logic do not capture the fact that information is often ambiguous, and may be interpreted in different ways by different agents. We propose a framework that can model this, and consider different semantics that capture different assumptions about the agents' beliefs regarding whether or not there is ambiguity. We examine the expressive power of logics of ambiguity compared to logics that cannot model ambiguity, with respect to the different semantics that we propose.