Lightweight Detection of Variable Symmetries for Constraint Satisfaction

  • Authors:
  • Christophe Lecoutre;Sebastien Tabary

  • Affiliations:
  • -;-

  • Venue:
  • ICTAI '09 Proceedings of the 2009 21st IEEE International Conference on Tools with Artificial Intelligence
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, we propose to automatically detect variable symmetries of CSP instances by computing for each constraint scope a partition exhibiting locally symmetric variables. From this local information obtained in polynomial time, we can build a so-called lsv-graph whose automorphisms correspond to (global) variable symmetries. Interestingly enough, our approach allows us to disregard the representation (extension, intension, global) of constraints. Besides, the size of the lsv-graph is linear with respect to the number of constraints (and their arity).