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On the universal theory of varieties of distributive lattices with operators: some decidability and complexity results

机译:关于带算子的分布格变种的通用理论:判定性和复杂性的一些结果

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摘要

In this paper we establish a link between satisfiability of universal sentences with respect to varieties of distributive lattices with operators and satisfiability with respect to certain classes of relational structures. we use these results for giving a method for translation to clause form of universal sentences in such varieties, and then use results from automated theorem proving to obtain decidability and complexity results for the universal theory of some such varieties.
机译:在本文中,我们建立了通用句子对带有算子的分布格的可满足性与对某些类型的关系结构的可满足性之间的联系。我们用这些结果给出一种将这类变体的通用句子的从句形式翻译的方法,然后使用自动定理证明的结果来获得某些变体的通用理论的可判定性和复杂性结果。

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