Resolution and Expressiveness of Subclasses of Quantified Boolean Formulas and Circuits

  • Hans Kleine Büning
  • Xishun Zhao
  • Uwe Bubeck
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5584)


We present an extension of Q-Unit resolution for formulas that are not completely in clausal form. This b-unit resolution is applied to different classes of quantified Boolean formulas in which the existential and universal variables satisfy the Horn property. These formulas are transformed into propositional equivalents consisting of only polynomially many subformulas. We obtain compact encodings as Boolean circuits and show that both representations have the same expressive power.


Free Variable Truth Assignment Horn Clause Boolean Formula Boolean Circuit 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Hans Kleine Büning
    • 1
  • Xishun Zhao
    • 2
  • Uwe Bubeck
    • 1
  1. 1.Universität PaderbornGermany
  2. 2.Sun Yat-sen University GuangzhouPR China

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