reducing symmetries to generate easier sat instances | |
Zhang Jian ; Zhuo Huang | |
刊名 | Electronic Notes in Theoretical Computer Science |
2005 | |
卷号 | 125期号:3页码:149-164 |
关键词 | Finite model searching SAT symmetries the least number heuristic |
中文摘要 | 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 |
语种 | 英语 |
公开日期 | 2010-08-11 |
内容类型 | 期刊论文 |
源URL | [http://124.16.136.157/handle/311060/3130] |
专题 | 软件研究所_计算机科学国家重点实验室 _期刊论文 |
推荐引用方式 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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