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Guiding Search in QCSP +  with Back-Propagation

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Principles and Practice of Constraint Programming (CP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5202))

Abstract

The Quantified Constraint Satisfaction Problem (QCSP) has been introduced to express situations in which we are not able to control the value of some of the variables (the universal ones). Despite the expressiveness of QCSP, many problems, such as two-players games or motion planning of robots, remain difficult to express. Two more modeler-friendly frameworks have been proposed to handle this difficulty, the Strategic CSP and the QCSP + . We define what we name back-propagation on QCSP + . We show how back-propagation can be used to define a goal-driven value ordering heuristic and we present experimental results on board games.

Supported by the ANR project ANR-06-BLAN-0383-02.

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References

  1. Ansótegui, C., Gomes, C., Selman, B.: The Achille’s heel of QBF. In: Proceedings AAAI 2005 (2005)

    Google Scholar 

  2. Benedetti, M., Lallouet, A., Vautard, J.: QCSP made practical by virtue of restricted quantification. In: Proceedings of IJCAI 2007, pp. 38–43 (2007)

    Google Scholar 

  3. Bessiere, C., Verger, G.: Strategic constraint satisfaction problems. In: Proceedings CP 2006 Workshop on Modelling and Reformulation, pp. 17–29 (2006)

    Google Scholar 

  4. Bordeaux, L., Montfroy, E.: Beyond NP: Arc-consistency for quantified constraints. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470, pp. 371–386. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  5. Choco. Java constraint library, http://choco.sourceforge.net/

  6. Geelen, P.A.: Dual viewpoint heuristics for binary constraint satisfaction problems. In: Proceedings ECAI 1992, pp. 31–35 (1992)

    Google Scholar 

  7. Gent, I.P., Nightingale, P., Rowley, A., Stergiou, K.: Solving quantified constraint satisfaction problems. Artif. Intell. 172(6-7), 738–771 (2008)

    Article  MathSciNet  Google Scholar 

  8. Mamoulis, N., Stergiou, K.: Algorithms for quantified constraint satisfaction problems. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 752–756. Springer, Heidelberg (2004)

    Google Scholar 

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Peter J. Stuckey

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© 2008 Springer-Verlag Berlin Heidelberg

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Verger, G., Bessiere, C. (2008). Guiding Search in QCSP +  with Back-Propagation. In: Stuckey, P.J. (eds) Principles and Practice of Constraint Programming. CP 2008. Lecture Notes in Computer Science, vol 5202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85958-1_12

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  • DOI: https://doi.org/10.1007/978-3-540-85958-1_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85957-4

  • Online ISBN: 978-3-540-85958-1

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