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A First Step Towards a Unified Proof Checker for QBF

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Theory and Applications of Satisfiability Testing – SAT 2007 (SAT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4501))

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Abstract

Compared to SAT, there is no simple concept of what a solution to a QBF problem is. Furthermore, as the series of QBF evaluations shows, the QBF solvers that are available often disagree. Thus, proof generation for QBF seems to be even more important than for SAT. In this paper we propose a new uniform proof format, which captures refutations and witnesses for a variety of QBF solvers, and is based on a novel extended resolution rule for QBF. Our experiments show the flexibility of this new format. We also identify shortcomings of our format and conjecture that a purely resolution based proof calculus is not powerful enough to trace the most efficient solvers.

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Authors and Affiliations

  1. Formal Models and Verification, Johannes Kepler University, Linz,  

    Toni Jussila & Armin Biere

  2. Wilhelm-Schickard-Institute for Computer Science, University of Tübingen,  

    Carsten Sinz

  3. Computer Systems Institute, ETH Zürich,  

    Daniel Kröning & Christoph M. Wintersteiger

Authors
  1. Toni Jussila
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  2. Armin Biere
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  3. Carsten Sinz
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  4. Daniel Kröning
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  5. Christoph M. Wintersteiger
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João Marques-Silva Karem A. Sakallah

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Jussila, T., Biere, A., Sinz, C., Kröning, D., Wintersteiger, C.M. (2007). A First Step Towards a Unified Proof Checker for QBF. In: Marques-Silva, J., Sakallah, K.A. (eds) Theory and Applications of Satisfiability Testing – SAT 2007. SAT 2007. Lecture Notes in Computer Science, vol 4501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72788-0_21

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  • DOI: https://doi.org/10.1007/978-3-540-72788-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72787-3

  • Online ISBN: 978-3-540-72788-0

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