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International Conference on Computer and Information Technology

作者： Crochemore, Maxime Hasan, Masud Moosa, Tanaeem M. Rahman, M. Sohel Algorithm Design Group Department of Computer Science King's College London Strand London WC2R 2LS United Kingdom Department of CSE BUET Dhaka-1000 Bangladesh

ISBN: (纸本)9781424484973

关键词： Cache Complexity Cache Complexity Range Minima/Maxima Query.A Range Minima/Maxima Query.lgorithms lgorithms

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Polynomial-Time Computation via Local Inference Relations

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ACM Transactions on Computational Logic 2002年第4期3卷 521-541页

作者： Givan, Robert McAllester, David Purdue University School of Electrical and Computer Engineering West Lafayette IN 1285 EE Building 47907 United States AT'T Labs Research NJ 971 180 Park Avenue Florham Park 07932 United States

We consider the concept of a local set of inference rules. A local rule set can be automatically transformed into a rule set for which bottom-up evaluation terminates in polynomial time. The local-rule-set transformation gives polynomial-time evaluation strategies for a large variety of rule sets that cannot be given terminating evaluation strategies by any other known automatic technique. This article discusses three new results. First, it is shown that every polynomial-time predicate can be defined by an (unstratified) local rule set. Second, a new machine-recognizable subclass of the local rule sets is identified. Finally, we show that locality, as a property of rule sets, is undecidable in general. © We consider the concept of a local set of inference rules. A local rule set can be automatically transformed into a rule set for which bottom-up evaluation terminates in polynomial time. The local-rule-set transformation gives polynomial-time evaluation strategies for a large variety of rule sets that cannot be given terminating evaluation strategies by any other known automatic technique. This article discusses three new results. First, it is shown that every polynomial-time predicate can be defined by an (unstratified) local rule set. Second, a new machine-recognizable subclass of the local rule sets is identified. Finally, we show that locality, as a property of rule sets, is undecidable in general. © 2002, ACM. All rights reserved.

关键词： Automated reasoning complexity theory decision procedures Languages lgorithms Theory

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