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A Dual Graph Translation of a Problem in ‘Life’

  • Barbara M. Smith
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2470)

Abstract

Conway’s game of Life provides interesting problems in which modelling issues in constraint programming can be explored. The problem of finding a maximum density stable pattern (‘still-life’) is discussed. A formulation of this problem as a constraint satisfaction problem with 0-1 variables and non-binary constraints is compared with its dual graph translation into a binary CSP. The success of the dual translation is surprising, from previously-reported experience, since it has as many variables as the non-binary CSP and very large domains. An important factor is the identification of many redundant constraints: it is shown that these can safely be removed from a dual graph translation if arc consistency is maintained during search.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Barbara M. Smith
    • 1
  1. 1.University of HuddersfieldHuddersfieldUK

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