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International Conference on Integration of Constraint Programming, Artificial Intelligence, and Operations Research

CPAIOR 2015: Integration of AI and OR Techniques in Constraint Programming pp 215–230Cite as

BDD-Guided Clause Generation

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 9075)

Abstract

Nogood learning is a critical component of Boolean satisfiability (SAT) solvers, and increasingly popular in the context of integer programming and constraint programming. We present a generic method to learn valid clauses from exact or approximate binary decision diagrams (BDDs) and resolution in the context of SAT solving. We show that any clause learned from SAT conflict analysis can also be generated using our method, while, in addition, we can generate stronger clauses that cannot be derived from one application of conflict analysis. Importantly, since SAT instances are often too large for an exact BDD representation, we focus on BDD relaxations of polynomial size and show how they can still be used to generated useful clauses. Our experimental results show that when this method is used as a preprocessing step and the generated clauses are appended to the original instance, the size of the search tree for a SAT solver can be significantly reduced.

Keywords

  • Unit Propagation
  • Constraint Programming
  • Binary Decision Diagram
  • Partial Assignment
  • Original Instance

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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  • DOI: 10.1007/978-3-319-18008-3_15
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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Brian Kell

  2. Allen Institute for Artificial Intelligence, Seattle, WA, 98103, USA

    Ashish Sabharwal

  3. Tepper School of Business, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Willem-Jan van Hoeve

Authors
  1. Brian Kell
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  2. Ashish Sabharwal
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  3. Willem-Jan van Hoeve
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Corresponding author

Correspondence to Brian Kell .

Editor information

Editors and Affiliations

  1. University of Connecticut, Storrs, Connecticut, USA

    Laurent Michel

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Kell, B., Sabharwal, A., van Hoeve, WJ. (2015). BDD-Guided Clause Generation. In: Michel, L. (eds) Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2015. Lecture Notes in Computer Science(), vol 9075. Springer, Cham. https://doi.org/10.1007/978-3-319-18008-3_15

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  • DOI: https://doi.org/10.1007/978-3-319-18008-3_15

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