Abstract
Covering arrays (CAs) are interesting objects in combinatorics and they also play an important role in software testing. It is a challenging task to generate small CAs automatically and efficiently. In this paper, we propose a new approach which generates a CA column by column. A kind of balancing heuristic is adopted to guide the searching procedure. At each step (column extension), some pseudo Boolean constraints are generated and solved by a PBO solver. A prototype tool is implemented, which turns out to be able to find smaller CAs than other tools, for some cases.
This work has been supported in part by the National 973 Program under grant No. 2014CB340701, and by the Youth Innovation Promotion Association, CAS (grant No. 2016104).
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Liu, H., Ma, F., Zhang, J. (2016). Generating Covering Arrays with Pseudo-Boolean Constraint Solving and Balancing Heuristic. In: Booth, R., Zhang, ML. (eds) PRICAI 2016: Trends in Artificial Intelligence. PRICAI 2016. Lecture Notes in Computer Science(), vol 9810. Springer, Cham. https://doi.org/10.1007/978-3-319-42911-3_22
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DOI: https://doi.org/10.1007/978-3-319-42911-3_22
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