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Relaxations and Explanations for Quantified Constraint Satisfaction Problems

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Principles and Practice of Constraint Programming - CP 2006 (CP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4204))

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Abstract

The Quantified CSP (QCSP) is a generalisation of the classical CSP in which some of the variables are universally quantified [3].We consider the problem of relaxing an instance of the QCSP when it is unsatisfiable. We propose several novel forms of problem relaxations for the QCSP and present an algorithm for generating conflict-based explanations of inconsistency. Our motivation comes from problems in supply-chain management and conformant planning.

This work was supported by Science Foundation Ireland (Grant 03/CE3/I405). The authors thank Hubie Chen, Helene Fargier and Nic Wilson for their helpful comments.

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References

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Ferguson, A., O’Sullivan, B. (2006). Relaxations and Explanations for Quantified Constraint Satisfaction Problems. In: Benhamou, F. (eds) Principles and Practice of Constraint Programming - CP 2006. CP 2006. Lecture Notes in Computer Science, vol 4204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889205_52

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