A Learned Clause Deletion Strategy Based on Distance Ratio

Meng Wang, Xingxing He, Jun Liu
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Abstract

learnt clauses are an important component part of the CDCL-SAT solver, every conflict can produce learnt clauses, but sometimes the number of clause increases explosively. In order to avoid taking up too much memory, and speeding up the solving, it is necessary to evaluate the value of the clause and delete learnt clauses which are utilized low. Based on this, this paper puts forward to a kind of learnt clauses deletion strategy based on distance ratio. The idea of this strategy is to balance the value of Literal Blocks Distance (LBD), put forward the concept of distance ratio, sort clauses according to the distance ratio, and combine clause activity to form a more efficient deletion strategy. SATLIB basic examples and SAT competition instances are used to test, and the comparative analysis results show that new method can reduce the solving time, and hence improve solution efficiency.
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一种基于距离比的学习子句删除策略
习得分句是CDCL-SAT求解器的重要组成部分,每次冲突都会产生习得分句,但有时分句的数量会呈爆炸式增长。为了避免占用过多的内存,加快求解速度,有必要对子句的价值进行评估,并删除已学习的利用率较低的子句。在此基础上,本文提出了一种基于距离比的习得小句删除策略。该策略的思想是平衡文字块距离(LBD)的值,提出距离比的概念,根据距离比对子句进行排序,结合子句活动形成更高效的删除策略。用SATLIB基本算例和SAT竞赛算例进行测试,对比分析结果表明,新方法可以缩短求解时间,从而提高求解效率。
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