English

A Probabilistic-Based Model for Binary CSP

Artificial Intelligence 2016-06-14 v1 Discrete Mathematics Data Structures and Algorithms

Abstract

This work introduces a probabilistic-based model for binary CSP that provides a fine grained analysis of its internal structure. Assuming that a domain modification could occur in the CSP, it shows how to express, in a predictive way, the probability that a domain value becomes inconsistent, then it express the expectation of the number of arc-inconsistent values in each domain of the constraint network. Thus, it express the expectation of the number of arc-inconsistent values for the whole constraint network. Next, it provides bounds for each of these three probabilistic indicators. Finally, a polytime algorithm, which propagates the probabilistic information, is presented.

Keywords

Cite

@article{arxiv.1606.03894,
  title  = {A Probabilistic-Based Model for Binary CSP},
  author = {Amine Balafrej and Xavier Lorca and Charlotte Truchet},
  journal= {arXiv preprint arXiv:1606.03894},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T14:23:51.185Z