Optimizing TRIEs for ordered pattern matching is /spl Pi//sub 2//sup P/-complete

Chih-Long Lin
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引用次数: 4

Abstract

We consider the complexity of constructing a data structure, called TRIEs, with the minimum operational cost for the ordered pattern matching problem, a problem abstracting the essence of executing Prolog problems; a TRIE with minimal cost corresponds to a program with the minimum worst case operational cost. Based on the recent non-approximability results developed by Arora et al. (1992) and Condon et al. (1993), we show that to approximate the optimum cost of this problem to within some constant ratio is /spl Pi//sub 2//sup P/-hard. The result implies that the problem of Prolog program optimization is probably as hard.
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对有序模式匹配的优化try是/spl Pi// sub2 //sup P/-complete
我们考虑了构建一个称为try的数据结构的复杂性,以最小的操作成本来解决有序模式匹配问题,这个问题抽象了执行Prolog问题的本质;具有最小成本的TRIE对应于具有最小最坏情况运行成本的程序。基于Arora et al.(1992)和Condon et al.(1993)最近提出的非近似性结果,我们表明,要将该问题的最佳成本近似为/spl Pi//sub 2//sup P/-hard。结果表明,Prolog程序优化问题可能同样困难。
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On superlinear lower bounds in complexity theory The isomorphism conjecture holds and one-way functions exist relative to an oracle An excursion to the Kolmogorov random strings Optimizing TRIEs for ordered pattern matching is /spl Pi//sub 2//sup P/-complete Resource-bounded genericity
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