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- W2005389099 abstract "In 1994 Fredman and Khachiyan established the remarkable result that the duality of a pair of monotone Boolean functions, in disjunctive normal forms, can be tested in quasi-polynomial time, thus putting the problem, most likely, somewhere between polynomiality and coNP-completeness. We strengthen this result by showing that the duality testing problem can in fact be solved in polylogarithmic time using a quasi-polynomial number of processors (in the PRAM model). While our decomposition technique can be thought of as a generalization of that of Fredman and Khachiyan, it yields stronger bounds on the sequential complexity of the problem in the case when the sizes of f and g are significantly different, and also allows for generating all minimal transversals of a given hypergraph using only polynomial space." @default.
- W2005389099 created "2016-06-24" @default.
- W2005389099 creator A5000070192 @default.
- W2005389099 date "2008-06-01" @default.
- W2005389099 modified "2023-10-16" @default.
- W2005389099 title "On the complexity of monotone dualization and generating minimal hypergraph transversals" @default.
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- W2005389099 doi "https://doi.org/10.1016/j.dam.2007.05.030" @default.
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