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Bounded Universal Expansion for Preprocessing 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))

Abstract

We present a new approach for preprocessing Quantified Boolean Formulas (QBF) in conjunctive normal form (CNF) by expanding a selection of universally quantified variables with bounded expansion costs. We describe a suitable selection strategy which exploits locality of universals and combines cost estimates with goal orientation by taking into account unit literals which might be obtained.

Furthermore, we investigate how Q-resolution can be integrated into this method. In particular, resolution is applied specifically to reduce the amount of copying necessary for universal expansion.

Experimental results demonstrate that our preprocessing can successfully improve the performance of state-of-the-art QBF solvers on well-known problems from the QBFLIB collection.

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João Marques-Silva Karem A. Sakallah

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Bubeck, U., Kleine Büning, H. (2007). Bounded Universal Expansion for Preprocessing 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_24

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  • DOI: https://doi.org/10.1007/978-3-540-72788-0_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72787-3

  • Online ISBN: 978-3-540-72788-0

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