Bounded epistemic situation calculus theories

  • Authors:
  • Giuseppe De Giacomo;Yves Lespérance;Fabio Patrizi

  • Affiliations:
  • DIAG, Sapienza Università di Roma, Roma, Italy;Dept. of Computer Sci. & Eng., York University, Toronto, Canada;DIAG, Sapienza Università di Roma, Roma, Italy

  • Venue:
  • IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
  • Year:
  • 2013

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Abstract

We define the class of e-bounded theories in the epistemic situation calculus, where the number of fluent atoms that the agent thinks may be true is bounded by a constant. Such theories can still have an infinite domain and an infinite set of states. We show that for them verification of an expressive class of first-order µ-calculus temporal epistemic properties is decidable. We also show that if the agent's knowledge in the initial situation is e-bounded and the objective part of an action theory maintains boundedness, then the entire epistemic theory is e-bounded.