English

Arc Consistency and Friends

Artificial Intelligence 2011-04-27 v1 Computational Complexity Logic in Computer Science

Abstract

A natural and established way to restrict the constraint satisfaction problem is to fix the relations that can be used to pose constraints; such a family of relations is called a constraint language. In this article, we study arc consistency, a heavily investigated inference method, and three extensions thereof from the perspective of constraint languages. We conduct a comparison of the studied methods on the basis of which constraint languages they solve, and we present new polynomial-time tractability results for singleton arc consistency, the most powerful method studied.

Keywords

Cite

@article{arxiv.1104.4993,
  title  = {Arc Consistency and Friends},
  author = {Hubie Chen and Victor Dalmau and Berit Grußien},
  journal= {arXiv preprint arXiv:1104.4993},
  year   = {2011}
}
R2 v1 2026-06-21T17:58:58.143Z