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Combination: automated generation of puzzles with constraints

Published:21 March 2011Publication History

ABSTRACT

Constraint Programming offers a powerful means of solving a wide variety of combinatorial problems. We have used this powerful paradigm to create a successful computer game called Combination. Combination is an application for the iPhone and iPod touch. It has been on sale internationally through the iTunes store since December, 2008 and received a number of positive reviews.

In this paper we explain how all the levels of Combination were generated, checked for correctness and rated for difficulty completely automatically through the use of constraints. We go on to evaluate this method of creation with the use of a human evaluation. This showed that fun, immersing computer games can be created with constraint programming.

References

  1. C. Bessiere and R. Debruyne. Theoretical analysis of singleton arc consistency and its extensions. Artif. Intell., 172: 29--41, January 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. M. Federoff. Heuristics and usability guidelines for the creation and evaluation of fun in video games. Unpublished Master of Science, Indiana University, 2002.Google ScholarGoogle Scholar
  3. I. P. Gent, S. Linton, and B. M. Smith. Symmetry breaking in the alien tiles puzzle. Report APES-22-2000, 2000.Google ScholarGoogle Scholar
  4. R. Haralik and G. Elliott. Increasing tree efficiency for constraint satisfaction problems. Artificial Intelligence, 14: 263--313, 1980.Google ScholarGoogle ScholarCross RefCross Ref
  5. C. Jennett, A. L. Cox, P. Cairns, S. Dhoparee, A. Epps, and T. Tijis. Measuring and defining the experience of immersion in games. International Journal of Human-Computer Studies, 66: 641--661, 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. J. Lauriere. A language and a program for stating and solving combinatorial problems. Artificial Intelligence, 10: 29--127, 1978.Google ScholarGoogle ScholarCross RefCross Ref
  7. R. L. Mandryk and K. M. Inkpen. Physiological indicators for the evaluation of co-located collaborative play. Proceedings of the ACM Conference on Computer Supported Cooperative Work, pages 102--111, 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. J.-C. Régin. Generalized arc consistency for global cardinality constraint. In AAAI/IAAI, Vol. 1, pages 209--215, 1996. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. I. Shlyakhter. Generating effective symmetry-breaking predicates for search problems. Discrete Appl. Math., 155(12): 1539--1548, 2007. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. H. Simonis. Sudoku as a constraint problem. Proceedings of the Modelling Workshop at CP, 2005.Google ScholarGoogle Scholar
  11. H. Simonis. Kakuro as a constraint problem. Proceedings of the Modref Workshop at CP, 2008.Google ScholarGoogle Scholar
  12. H. Simonis. Shikaku as a constraint problem. CSCLP 2009, 2009.Google ScholarGoogle Scholar
  13. B. M. Smith, K. E. Petrie, and I. P. Gent. Models and symmetry breaking for peaceable armies of queens. Proceedings of CPAIOR, Springer LNCS 3011: 271--286, 2004.Google ScholarGoogle Scholar

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          cover image ACM Conferences
          SAC '11: Proceedings of the 2011 ACM Symposium on Applied Computing
          March 2011
          1868 pages
          ISBN:9781450301138
          DOI:10.1145/1982185

          Copyright © 2011 ACM

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          Publication History

          • Published: 21 March 2011

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