Extended Resolution Proofs for Symbolic SAT Solving with Quantification

  • Toni Jussila
  • Carsten Sinz
  • Armin Biere
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4121)


Symbolic SAT solving is an approach where the clauses of a CNF formula are represented using BDDs. These BDDs are then conjoined, and finally checking satisfiability is reduced to the question of whether the final BDD is identical to false. We present a method combining symbolic SAT solving with BDD quantification (variable elimination) and generation of extended resolution proofs. Proofs are fundamental to many applications, and our results allow the use of BDDs instead of—or in combination with—established proof generation techniques like clause learning. We have implemented a symbolic SAT solver with variable elimination that produces extended resolution proofs. We present details of our implementation, called EBDDRES, which is an extension of the system presented in [1], and also report on experimental results.


Model Check Boolean Function Binary Decision Diagram Variable Elimination Extension Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Toni Jussila
    • 1
  • Carsten Sinz
    • 1
  • Armin Biere
    • 1
  1. 1.Institute for Formal Models and VerificationJohannes Kepler University LinzAustria

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