sign - sat新的逻辑和复杂性结果

C. Ansótegui, F. Manyà
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引用次数: 12

摘要

我们将v-公式定义为有符号CNF公式的正则和单符号CNF公式的子集的并,然后定义了v-公式的反驳完备的解析演算,并给出了Horn-SAT和2-SAT问题的新的复杂性结果。我们的目标是使用v-公式作为CSP和SAT之间的约束编程语言,并使用v-公式的高效可满足性求解器来解决计算困难的组合问题。本文给出的结果证明,v-公式是一种在复杂性和表达能力之间提供良好折衷的问题建模语言。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New logical and complexity results for Signed-SAT
We define Mv-formulas as the union of the subclasses of signed CNF formulas known as regular and monosigned CNF formulas, and then define resolution calculi that are refutation complete for Mv-formulas and give new complexity results for the Horn-SAT and 2-SAT problems. Our goal is to use Mv-formulas as a constraint programming language between CSP and SAT, and solve computationally difficult combinatorial problems with efficient satisfiability solvers for Mv-formulas. The results presented in this paper provide evidence that Mv-formulas are a problem modeling language that offers a good compromise between complexity and expressive power.
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