Abstract
Satisfiability (SAT) is considered as one of the most important core technologies in formal verification and related areas. Even though there is steady progress in improving practical SAT solving, there are limits on scalability of SAT solvers. We address this issue and present a new approach, called cube-and-conquer, targeted at reducing solving time on hard instances. This two-phase approach partitions a problem into many thousands (or millions) of cubes using lookahead techniques. Afterwards, a conflict-driven solver tackles the problem, using the cubes to guide the search. On several hard competition benchmarks, our hybrid approach outperforms both lookahead and conflict-driven solvers. Moreover, because cube-and-conquer is natural to parallelize, it is a competitive alternative for solving SAT problems in parallel.
The first and the fourth author are supported by the Austrian Science Foundation (FWF) NFN Grant S11408-N23 (RiSE). The third author is supported by Academy of Finland project 139402.
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Heule, M.J.H., Kullmann, O., Wieringa, S., Biere, A. (2012). Cube and Conquer: Guiding CDCL SAT Solvers by Lookaheads. In: Eder, K., Lourenço, J., Shehory, O. (eds) Hardware and Software: Verification and Testing. HVC 2011. Lecture Notes in Computer Science, vol 7261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34188-5_8
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