Quantified Constraint Satisfaction Problems: From Relaxations to Explanations

Abstract

The Quantified Constraint Satisfaction Problem (QCSP) is a generalisation of the classical CSP in which some of variables can be universally quantified. In this paper, we extend two well-known concepts in classical constraint satisfaction to the quantified case: problem relaxation and explanation of inconsistency. We show that the generality of the QCSP allows for a number of different forms of relaxation not available in classical CSP. We further present an algorithmfor computing a generalisation of conflict-based explanations of inconsistency for the QCSP.

Cite

Text

Ferguson and O'Sullivan. "Quantified Constraint Satisfaction Problems: From Relaxations to Explanations." International Joint Conference on Artificial Intelligence, 2007.

Markdown

[Ferguson and O'Sullivan. "Quantified Constraint Satisfaction Problems: From Relaxations to Explanations." International Joint Conference on Artificial Intelligence, 2007.](https://mlanthology.org/ijcai/2007/ferguson2007ijcai-quantified/)

BibTeX

@inproceedings{ferguson2007ijcai-quantified,
  title     = {{Quantified Constraint Satisfaction Problems: From Relaxations to Explanations}},
  author    = {Ferguson, Alex and O'Sullivan, Barry},
  booktitle = {International Joint Conference on Artificial Intelligence},
  year      = {2007},
  pages     = {74-79},
  url       = {https://mlanthology.org/ijcai/2007/ferguson2007ijcai-quantified/}
}