Combining Multiple Inclusion Representations in Numerical Constraint Propagation

Authors:
Xuan-Ha Vu;Djamila Sam-Haroud;Boi Faltings
Affiliations:
Swiss Federal Institute of Technology;Swiss Federal Institute of Technology;Swiss Federal Institute of Technology
Venue:
ICTAI '04 Proceedings of the 16th IEEE International Conference on Tools with Artificial Intelligence
Year:
2004

Citing 0
Cited 3

Enhancing numerical constraint propagation using multiple inclusion representations

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Interval propagation and search on directed acyclic graphs for numerical constraint solving

Journal of Global Optimization
Technical Section: Fast reliable interrogation of procedurally defined implicit surfaces using extended revised affine arithmetic

Computers and Graphics

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Abstract

This paper proposes a novel generic scheme enabling the combination of multiple inclusion representations to propagate numerical constraints. The scheme allows bringing into the constraint propagation framework the strength of inclusion techniques coming from different areas. The scheme is based on the DAG representation of the constraint system. This enables devising fine-grained combination strategies involving any factorable constraint system. The paper presents several possible combination strategies for creating practical instances of the generic scheme. The experiments reported on a particular instance using interval constraint propagation, interval arithmetic, affine arithmetic and linear programming illustrate the flexibility and efficiency of the approach.