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A Solution to the GHI Problem for Best-First Search

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Computers and Games (CG 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1558))

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Abstract

In a search graph a node’s value may be dependent on the path leading to it. Different paths may lead to different values. Hence, it is difficult to determine the value of any node unambiguously. The problem is known as the graph-history-interaction (GHI) problem. This paper provides a solution for best-first search. First, we give a precise formulation of the problem. Then, for best-first search and for other searches, we review earlier proposals to overcome the problem. Next, our solution is given in detail. Here we introduce the notion of twin nodes, enabling a distinction of nodes according to their history. The implementation, called BTA (Base-Twin Algorithm), is performed for pn search, a best-first search algorithm. It is generally applicable to other best-first search algorithms. Experimental results in the field of computer chess confirm the claim that the GHI problem has been solved for best-first search.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Universiteit Maastricht, P.O. Box 616, 6200, MD Maastricht, The Netherlands

    Dennis M. Breuker, H. Jaap van den Herik & Jos W. H. M. Uiterwijk

  2. Quintiq B.V., Van Grobbendoncklaan 83, 5213, AV’ s Hertogenbosch, The Netherlands

    L. Victor Allis

Authors
  1. Dennis M. Breuker
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  2. H. Jaap van den Herik
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  3. Jos W. H. M. Uiterwijk
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  4. L. Victor Allis
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Maastricht, Maastricht, The Netherlands

    H. Jaap van den Herik

  2. Department of Computer Science, Shizuoka University, Hamamatsu, Japan

    Hiroyuki Iida

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© 1999 Springer-Verlag Berlin Heidelberg

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Breuker, D.M., van den Herik, H.J., Uiterwijk, J.W.H.M., Allis, L.V. (1999). A Solution to the GHI Problem for Best-First Search. In: van den Herik, H.J., Iida, H. (eds) Computers and Games. CG 1998. Lecture Notes in Computer Science, vol 1558. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48957-6_3

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  • DOI: https://doi.org/10.1007/3-540-48957-6_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65766-8

  • Online ISBN: 978-3-540-48957-3

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