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An Analysis of Backjumping and Trivial Truth in Quantified Boolean Formulas Satisfiability

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AI*IA 2001: Advances in Artificial Intelligence (AI*IA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2175))

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Abstract

Trivial truth and backjumping are two optimization techniques that have been proposed for deciding quantified boolean formulas (QBFs) satisfiability. Both these techniques can greatly improve the overall performance of a QBF solver, but they are the expression of opposite philosophies. On one hand, trivial truth is a “look-ahead” policy: it is applied when descending the search tree to (try to) prune it. On the other hand, backjumping is a “look-back” policy: it is applied when backtracking to (try to) avoid useless explorations. Neither of these optimizations subsumes the other: it is easy to come up with examples in which trivial truth behaves much better than backjumping, and the other way around. In this paper we experimentally evaluate these two optimizations both on randomly generated and on real world test cases.

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© 2001 Springer-Verlag Berlin Heidelberg

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Giunchiglia, E., Narizzano, M., Tacchella, A. (2001). An Analysis of Backjumping and Trivial Truth in Quantified Boolean Formulas Satisfiability. In: Esposito, F. (eds) AI*IA 2001: Advances in Artificial Intelligence. AI*IA 2001. Lecture Notes in Computer Science(), vol 2175. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45411-X_13

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  • DOI: https://doi.org/10.1007/3-540-45411-X_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42601-1

  • Online ISBN: 978-3-540-45411-3

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