Title
Reformulation of Global Constraints Based on Constraints Checkers
Abstract
This article deals with global constraints for which the set of solutions can be recognized by an extended finite automaton whose size is bounded by a polynomial in n, where n is the number of variables of the corresponding global constraint. By reducing the automaton to a conjunction of signature and transition constraints we show how to systematically obtain an automaton reformulation. Under some restrictions on the signature and transition constraints, this reformulation maintains arc-consistency. An implementation based on some constraints as well as on the metaprogramming facilities of SICStus Prolog is available. For a restricted class of automata we provide an automaton reformulation for the relaxed case, where the violation cost is the minimum number of variables to unassign in order to get back to a solution.
Year
DOI
Venue
2005
10.1007/s10601-005-2809-x
Constraints
Keywords
Field
DocType
global constraints,automata,reformulation
Metaprogramming,Discrete mathematics,Mathematical optimization,Deterministic automaton,Polynomial,Computer science,Automaton,Finite-state machine,Probabilistic automaton,Büchi automaton,Bounded function
Journal
Volume
Issue
ISSN
10
4
1383-7133
Citations 
PageRank 
References 
19
0.97
27
Authors
4
Name
Order
Citations
PageRank
Nicolas Beldiceanu154751.14
Mats Carlsson297579.24
Romuald Debruyne327215.91
Thierry Petit4946.97