Document Open Access Logo

Optimal Regression for Reasoning about Knowledge and Actions

Authors Hans van Ditmarsch, Andreas Herzig, Tiago de Lima

Thumbnail PDF


  • Filesize: 306 kB
  • 22 pages

Document Identifiers

Author Details

Hans van Ditmarsch
Andreas Herzig
Tiago de Lima

Cite AsGet BibTex

Hans van Ditmarsch, Andreas Herzig, and Tiago de Lima. Optimal Regression for Reasoning about Knowledge and Actions. In Formal Models of Belief Change in Rational Agents. Dagstuhl Seminar Proceedings, Volume 7351, pp. 1-22, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2007)


We show how in the propositional case both Reiter's and Scherl & Levesque's solutions to the frame problem can be modelled in dynamic epistemic logic (DEL), and provide an optimal regression algorithm for the latter. Our method is as follows: we extend Reiter's framework by integrating observation actions and modal operators of knowledge, and encode the resulting formalism in DEL with announcement and assignment operators. By extending Lutz' recent satisfiability-preserving reduction to our logic, we establish optimal decision procedures for both Reiter's and Scherl & Levesque's approaches: satisfiability is NP-complete for one agent, PSPACE-complete for multiple agents and EXPTIME-complete when common knowledge is involved.
  • Reasoning about action and change
  • reasoning about knowledge
  • situation calculus
  • frame problem
  • dynamic epistemic logic


  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    PDF Downloads
Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail