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Heuristics for BDD handling of sum-of-products formulae

机译:BDD处理乘积和公式的启发式

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This paper presents the result of research on heuristic methods for assessment of fault-trees (Boolean formulae) using Binary Decision Diagrams (BDDs for short). are the state-of-the-art com-pact representation of booleam formulae. The fault trees under consideration are given in the sum-of-proucts or poroducts-of-sums form. We propose a new heuristic htat is both robust and discriminating on these particular formulae. The s izes of the BDD obtained are much smaller than those obtained using standard heuristics. However from the theoretical point of view the size of the corresponding BDD remains exponentally large in the worst case. Nevertheless, in practice we manage to deal with complex formulae by means of a new rewriting method which we propose in this article.
机译:本文介绍了使用二元决策图(简称BDD)对故障树(布尔公式)进行评估的启发式方法的研究成果。是Booleam配方的最新紧凑型表示形式。所考虑的故障树以“总和”或“总和”形式给出。我们提出了一种新的启发式htat,它既健壮又可以区分这些特定公式。所获得的BDD的大小比使用标准启发式方法获得的BDD的大小小得多。但是,从理论的角度来看,在最坏的情况下,相应BDD的大小仍呈指数增长。尽管如此,在实践中,我们还是设法通过本文提出的一种新的重写方法来处理复杂的公式。

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