Proof for the Equivalence between Some Best-First Algorithms and Depth-First Algorithms for AND/OR Trees
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概要
- 論文の詳細を見る
When we want to know if it is a win or a loss at a given position of a game (e.g. chess endgame), the process to figure out this problem corresponds to searching an AND/OR tree. AND/OR-tree search is a method for getting a proof solution (win) or a disproof solution (loss) for such a problem. AO^* is well-known as a representative algorithm for searching a proof solution in an AND/OR tree. AO^* uses only the idea of proof number. Besides, Allis developed pn-search which uses the idea of proof number and disproof number. Both of them are best-first algorithms. There was no efficient depth-first algorithm using (dis)proof number, until Seo developed his originative algorithm which uses only proof number. Besides, Nagai recently developed PDS which is a depth-first algorithm using both proof number and disproof number. In this paper, we give a proof for the equivalence between AO* which is a best-first algorithm and Seo's depth-first algorithm in the meaning of expanding a certain kind of node. Furthermore, we give a proof for the equivalence between pn-search which is a best-first algorithm and df-pn which is a depth-first algorithm we propose in this paper.
- 社団法人電子情報通信学会の論文
- 2002-10-01
著者
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Imai Hiroshi
Department Of Bone And Joint Surgery Ehime University Graduate School Of Medicine
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Imai Hiroshi
Department Of Computer Science The University Of Tokyo
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NAGAI Ayumu
Department of Information Science, The University of Tokyo
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Imai Hiroshi
Department Of Biological Sciences Graduate School Of Science University Of Tokyo
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NAGAI Ayumu
Department of Information Science, The University of Tokyo:(Present address)NASDA
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