---
title: "The Logic Behind Weighted CSP"
authors:
  - "Carlos Ansótegui"
  - "Maria Luisa Bonet"
  - "Jordi Levy"
  - "Felip Manyà"
doi: ""
url: "https://ijcai.org/proceedings/2007/3"
pdf: "https://ijcai.org/proceedings/2007/0003.pdf"
venue: "Proceedings of the Twentieth International Joint Conference on Artificial Intelligence"
year: 2007
pages: "32-36"
track: ""
keywords:
---

# The Logic Behind Weighted CSP

Carlos Ansótegui, Maria Luisa Bonet, Jordi Levy, Felip Manyà

*Proceedings of the Twentieth International Joint Conference on Artificial Intelligence*, pages 32-36.

## Abstract

We define a translation from Weighted CSP to signed Max-SAT, and a complete resolution-style calculus for solving signed Max-SAT. Based on these results, we then describe an original exact algorithm for solving Weighted CSP. Finally, we define several derived rules and prove that they enforce the main soft arc consistency defined in the literature when applied to Weighted CSP instances.