HyperSAT a new generator for 3-SAT instances

J. Segura-Salazar, J. Torres-Jiménez
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Abstract

Propositional satisfiability is the problem of determining, given a formula of propositional calculus in CNF (Conjunctive Normal Form), if there is an assignment of truth values for the variables in such a way that the whole formula is true. The SAT problem is one of the most important combinatorial optimization problems, in particular the 3-SAT problem is the,first NP-Complete problem. In order to test sat solving algorithms is necessary to generate hard sat instances, in this paper we address the construction and testing of HyperSAT a sat instance generator based on the concept of hypergraphs.
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HyperSAT是3-SAT实例的新生成器
命题可满足性是在CNF(合取范式)中给定一个命题演算公式,确定变量的真值赋值是否使得整个公式为真。SAT问题是最重要的组合优化问题之一,特别是3-SAT问题是第一个np完全问题。为了验证卫星求解算法生成硬卫星实例的必要性,本文讨论了基于超图概念的卫星实例生成器HyperSAT的构造和测试。
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