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An Efficient and Flexible Approach to Resolution Proof Reduction

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Hardware and Software: Verification and Testing (HVC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6504))

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Abstract

A resoution proof is a certificate of the unsatisfiability of a Boolean formula. Resolution proofs, as generated by modern SAT solvers, find application in many verification techniques. For efficiency smaller proofs are preferable over larger ones. This paper presents a new approach to proof reduction, situated among the purely post-processing methods. The main idea is to reduce the proof size by eliminating redundancies of occurrences of pivots along the proof paths. This is achieved by matching and rewriting local contexts into simpler ones. In our approach, rewriting can be easily customized in the way local contexts are matched, in the amount of transformations to be performed, or in the different application of the rewriting rules. We provide an extensive experimental evaluation of our technique on a set of benchmarks, which shows considerable reduction in the proofs size.

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Rollini, S.F., Bruttomesso, R., Sharygina, N. (2011). An Efficient and Flexible Approach to Resolution Proof Reduction. In: Barner, S., Harris, I., Kroening, D., Raz, O. (eds) Hardware and Software: Verification and Testing. HVC 2010. Lecture Notes in Computer Science, vol 6504. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19583-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-19583-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19582-2

  • Online ISBN: 978-3-642-19583-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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