New Light on Arc Consistency over Continuous Domains - Archive ouverte HAL Access content directly
Reports Year : 2004

New Light on Arc Consistency over Continuous Domains

(1) , ,
1
Gilles Trombettoni
Bertrand Neveu
  • Function : Author

Abstract

Hyvönen and Faltings observed that propagation algorithms with continuous variables are computationally extremely inefficient when unions of intervals are used to precisely store refinements of domains. These algorithms were designed in the hope of obtaining the interesting property of arc consistency, that guarantees every value in domains to be consistent w.r.t. every constraint. In the first part of this report, we show that a pure backtrack-free filtering algorithm enforcing arc consistency will never exist. But surprisingly, we show that it is easy to obtain a property stronger than arc consistency with a few steps of bisection. We define this so-called box-set consistency and detail a generic method to enforce it. In the second part, a concrete algorithm, derived from the lazy version of the generic method is proposed. Correctness is proved and the properties are studied precisely.
Fichier principal
Vignette du fichier
RR-5365.pdf (368.16 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00070638 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070638 , version 1

Cite

Gilles Chabert, Gilles Trombettoni, Bertrand Neveu. New Light on Arc Consistency over Continuous Domains. RR-5365, INRIA. 2004, pp.26. ⟨inria-00070638⟩
106 View
101 Download

Share

Gmail Facebook Twitter LinkedIn More