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Constraint Programming and Hybrid Formulations for Three Life Designs

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  • Robert Bosch
  • Michael Trick

Abstract

Conway's game of Life provides an interesting testbed for exploring issues in formulation, symmetry, and optimization with constraint programming and hybrid constraint programming/integer programming methods. We consider three Life pattern-creation problems: finding maximum density still-Lifes, finding smallest immediate predecessor patterns, and finding period-2 oscillators. For the first two problems, integrating integer programming and constraint programming approaches provides a much better solution procedure than either individually. For the final problem, the constraint programming formulation provides the better approach. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Robert Bosch & Michael Trick, 2004. "Constraint Programming and Hybrid Formulations for Three Life Designs," Annals of Operations Research, Springer, vol. 130(1), pages 41-56, August.
    • Handle: RePEc:spr:annopr:v:130:y:2004:i:1:p:41-56:10.1023/b:anor.0000032569.86938.2f
    DOI: 10.1023/B:ANOR.0000032569.86938.2f
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