Set and multiset variables are important modelling constructs in constraint programming. Several representations have been proposed for set and multiset variables, often based on combining together different representations. In this paper, we provide a formal framework with which we can study many existing combinations of representations and compare their strength. In addition, our framework opens the door to interesting new combinations, as well as to the construction of propagators with well defined properties. We illustrate the value of the framework via both theoretical and experimental results.

A Framework for Combining Set Variable Representations

KIZILTAN, ZEYNEP;
2013

Abstract

Set and multiset variables are important modelling constructs in constraint programming. Several representations have been proposed for set and multiset variables, often based on combining together different representations. In this paper, we provide a formal framework with which we can study many existing combinations of representations and compare their strength. In addition, our framework opens the door to interesting new combinations, as well as to the construction of propagators with well defined properties. We illustrate the value of the framework via both theoretical and experimental results.
Proceedings of the Tenth Symposium on Abstraction, Reformulation, and Approximation, SARA 2013, 11-12 July 2013, Leavenworth, Washington, USA
25
33
Christian Bessiere; Zeynep Kiziltan; Andrea Rappini; Toby Walsh
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/398430
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