Interactions between knowledge and time in a first-order logic for multi-agent systems: completeness results

  • Authors:
  • F. Belardinelli;A. Lomuscio

  • Affiliations:
  • Department of Computing, Imperial College London, UK;Department of Computing, Imperial College London, UK

  • Venue:
  • Journal of Artificial Intelligence Research
  • Year:
  • 2012

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Abstract

We investigate a class of first-order temporal-epistemic logics for reasoning about multiagent systems. We encode typical properties of systems including perfect recall, synchronicity, no learning, and having a unique initial state in terms of variants of quantified interpreted systems, a first-order extension of interpreted systems. We identify several monodic fragments of first-order temporal-epistemic logic and show their completeness with respect to their corresponding classes of quantified interpreted systems.