, Volume 130, Issue 1-4, pp 41-56

Constraint Programming and Hybrid Formulations for Three Life Designs

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.