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Weights Stagnation in Dynamic Local Search for SAT

机译:SAT动态本地搜索中的权重停滞

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Since 1991, tries were made to enhance the stochastic local search techniques (SLS). Someresearchers turned their focus on studying the structure of the propositional satisfiabilityproblems (SAT) to better understand their complexity in order to come up with betteralgorithms. Other researchers focused in investigating new ways to develop heuristics that alterthe search space based on some information gathered prior to or during the search process.Thus, many heuristics, enhancements and developments were introduced to improve SLStechniques performance during the last three decades. As a result a group of heuristics wereintroduced namely Dynamic Local Search (DLS) that could outperform the systematic searchtechniques. Interestingly, a common characteristic of DLS heuristics is that they all depend onthe use of weights during searching for satisfiable formulas.In our study we experimentally investigated the weights behaviors and movements duringsearching for satisfiability using DLS techniques, for simplicity, DDFW DLS heuristic is chosen.As a results of our studies we discovered that while solving hard SAT problems such as blocksworld and graph coloring problems, weights stagnation occur in many areas within the searchspace. We conclude that weights stagnation occurrence is highly related to the level of theproblem density, complexity and connectivity.
机译:自1991年以来,就尝试增强随机局部搜索技术(SLS)。一些研究者将重点放在研究命题可满足性问题(SAT)的结构上,以更好地理解其复杂性,从而提出更好的算法。其他研究人员专注于研究开发启发式方法的新方法,这些方法会根据在搜索过程之前或搜索过程中收集到的一些信息来改变搜索空间。因此,在过去的三十年中引入了许多启发式方法,增强功能和改进方法来提高SLS技术的性能。结果,引入了一组启发式方法,即动态本地搜索(DLS),其性能可能优于系统搜索技术。有趣的是,DLS启发式算法的一个共同特征是它们都依赖于在搜索可满足公式时使用的权重。在我们的研究中,我们使用DLS技术对可满足性搜索期间的权重行为和运动进行了实验研究,为简单起见,选择了DDFW DLS启发式。作为我们研究的结果,我们发现,在解决诸如块世界和图形着色问题之类的SAT难题时,搜索空间内的许多区域都出现了权重停滞。我们得出结论,权重停滞的发生与问题密度,复杂性和连通性的水平高度相关。

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