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2022-03-07
摘要翻译:
伪布尔优化(PBO)和最大可满足性(MaxSAT)问题是布尔可满足性(SAT)的自然优化扩展。在最近的过去,对于PBO和MaxSAT提出了不同的算法,尽管存在从PBO到MaxSAT的直接映射,反之亦然。本文提出了加权布尔优化(WBO),它是PBO和MAXSAT的一个新的统一框架。此外,本文在MAXSAT的不可满足性算法的基础上,提出了一种新的基于不可满足性的WBO算法。除标准MaxSAT外,新算法还可用于求解加权MaxSAT和PBO,既可直接处理伪布尔约束,也可将伪布尔约束转换为小句形式。实验结果表明,基于不可满足性的MaxSAT算法比现有的专用算法效率提高了几个数量级。最后,本文说明了PBO和MaxSAT的其他算法如何扩展到WBO。
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英文标题:
《Algorithms for Weighted Boolean Optimization》
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作者:
Vasco Manquinho and Joao Marques-Silva and Jordi Planes
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最新提交年份:
2009
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分类信息:

一级分类:Computer Science        计算机科学
二级分类:Artificial Intelligence        人工智能
分类描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域,除了视觉、机器人、机器学习、多智能体系统以及计算和语言(自然语言处理),这些领域有独立的学科领域。特别地,包括专家系统,定理证明(尽管这可能与计算机科学中的逻辑重叠),知识表示,规划,和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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一级分类:Computer Science        计算机科学
二级分类:Logic in Computer Science        计算机科学中的逻辑
分类描述:Covers all aspects of logic in computer science, including finite model theory, logics of programs, modal logic, and program verification. Programming language semantics should have Programming Languages as the primary subject area. Roughly includes material in ACM Subject Classes D.2.4, F.3.1, F.4.0, F.4.1, and F.4.2; some material in F.4.3 (formal languages) may also be appropriate here, although Computational Complexity is typically the more appropriate subject area.
涵盖计算机科学中逻辑的所有方面,包括有限模型理论,程序逻辑,模态逻辑和程序验证。程序设计语言语义学应该把程序设计语言作为主要的学科领域。大致包括ACM学科类D.2.4、F.3.1、F.4.0、F.4.1和F.4.2中的材料;F.4.3(形式语言)中的一些材料在这里也可能是合适的,尽管计算复杂性通常是更合适的主题领域。
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英文摘要:
  The Pseudo-Boolean Optimization (PBO) and Maximum Satisfiability (MaxSAT) problems are natural optimization extensions of Boolean Satisfiability (SAT).   In the recent past, different algorithms have been proposed for PBO and for MaxSAT, despite the existence of straightforward mappings from PBO to MaxSAT and vice-versa. This papers proposes Weighted Boolean Optimization (WBO), a new unified framework that aggregates and extends PBO and MaxSAT. In addition, the paper proposes a new unsatisfiability-based algorithm for WBO, based on recent unsatisfiability-based algorithms for MaxSAT. Besides standard MaxSAT, the new algorithm can also be used to solve weighted MaxSAT and PBO, handling pseudo-Boolean constraints either natively or by translation to clausal form. Experimental results illustrate that unsatisfiability-based algorithms for MaxSAT can be orders of magnitude more efficient than existing dedicated algorithms. Finally, the paper illustrates how other algorithms for either PBO or MaxSAT can be extended to WBO.
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PDF链接:
https://arxiv.org/pdf/0903.0843
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