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reducing symmetries to generate easier sat instances
Zhang Jian; Zhuo Huang
2005
发表期刊Electronic Notes in Theoretical Computer Science
卷号125期号:3页码:149-164
摘要Finding countermodels is an effective way of disproving false conjectures. In first-order predicate logic, model finding is an undecidable problem. But if a finite model exists, it can be found by exhaustive search. The finite model generation problem in the first-order logic can also be translated to the satisfiability problem in the propositional logic. But a direct translation may not be very efficient. This paper discusses how to take the symmetries into account so as to make the resulting problem easier. A static method for adding constraints is presented, which can be thought of as an approximation of the least number heuristic (LNH). Also described is a dynamic method, which asks a model searcher like SEM to generate a set of partial models, and then gives each partial model to a propositional prover. The two methods are analyzed, and compared with each other.
收录类别ei
关键词Finite Model Searching Sat Symmetries The Least Number Heuristic
部门归属计算机科学国家重点实验室
语种英语
内容类型期刊论文
URI标识http://ir.iscas.ac.cn/handle/311060/3130
专题基础软件与系统重点实验室
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GB/T 7714
Zhang Jian,Zhuo Huang. reducing symmetries to generate easier sat instances[J]. Electronic Notes in Theoretical Computer Science,2005,125(3):149-164.
APA Zhang Jian,&Zhuo Huang.(2005).reducing symmetries to generate easier sat instances.Electronic Notes in Theoretical Computer Science,125(3),149-164.
MLA Zhang Jian,et al."reducing symmetries to generate easier sat instances".Electronic Notes in Theoretical Computer Science 125.3(2005):149-164.
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