Relaxations and explanations for quantified constraint satisfaction problems

  • Authors:
  • Alex Ferguson;Barry O'Sullivan

  • Affiliations:
  • Cork Constraint Computation Centre, Department of Computer Science, University College Cork, Ireland;Cork Constraint Computation Centre, Department of Computer Science, University College Cork, Ireland

  • Venue:
  • CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
  • Year:
  • 2006

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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.