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2022-04-12
摘要翻译:
约束满足问题(CSP)是计算机科学和人工智能中的一个核心共性问题,它为许多理论问题和现实应用提供了一个通用的框架。软约束问题是CSP的一种推广,它允许用户对优化问题建模。已作出相当大的努力,以确定性质,以确保这些问题的可处理性。本文首先研究了软约束问题的混合可处理性;即保证给定软约束问题的可处理性的属性,但这些属性不仅依赖于实例的底层结构(如树结构)或仅依赖于实例中软约束的类型(如子模块性)。本文提出了几类新的混合软约束问题,包括机器调度问题、任意非重叠约束问题和任意一元软约束的SoftAllDiff约束问题。我们研究的一个重要工具将是禁止子结构的概念。
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英文标题:
《Hybrid tractability of soft constraint problems》
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作者:
Martin C. Cooper, Stanislav Zivny
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最新提交年份:
2010
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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:Data Structures and Algorithms        数据结构与算法
分类描述:Covers data structures and analysis of algorithms. Roughly includes material in ACM Subject Classes E.1, E.2, F.2.1, and F.2.2.
涵盖数据结构和算法分析。大致包括ACM学科类E.1、E.2、F.2.1和F.2.2中的材料。
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英文摘要:
  The constraint satisfaction problem (CSP) is a central generic problem in computer science and artificial intelligence: it provides a common framework for many theoretical problems as well as for many real-life applications. Soft constraint problems are a generalisation of the CSP which allow the user to model optimisation problems. Considerable effort has been made in identifying properties which ensure tractability in such problems. In this work, we initiate the study of hybrid tractability of soft constraint problems; that is, properties which guarantee tractability of the given soft constraint problem, but which do not depend only on the underlying structure of the instance (such as being tree-structured) or only on the types of soft constraints in the instance (such as submodularity). We present several novel hybrid classes of soft constraint problems, which include a machine scheduling problem, constraint problems of arbitrary arities with no overlapping nogoods, and the SoftAllDiff constraint with arbitrary unary soft constraints. An important tool in our investigation will be the notion of forbidden substructures.
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PDF链接:
https://arxiv.org/pdf/1008.4071
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