The Inference Problem for Propositional Circumscription of Afine Formulas Is coNP-Complete

  • Arnaud Durand
  • Miki Hermann
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2607)


We prove that the inference problem of propositional circumscription for afine formulas is coNP-complete, settling this way a longstanding open question in the complexity of nonmonotonic reasoning. We also show that the considered problem becomes polynomial-time decidable if only a single literal has to be inferred from an afine formula.


Minimal Model Minimal Solution Conjunctive Normal Form Truth Assignment Inference Problem 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Arnaud Durand
    • 1
  • Miki Hermann
    • 2
  1. 1.Dept. of Computer ScienceLACL Paris 12 and LAMSADE Paris 9 (CNRS UMR 7024)CréteilFrance
  2. 2.École PolytechniqueLIX (CNRS, UMR 7650)Palaiseau cedexFrance

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