Constraints in Non-Boolean Contexts

Authors Leslie De Koninck, Sebastian Brand, Peter J. Stuckey

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Leslie De Koninck
Sebastian Brand
Peter J. Stuckey

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Leslie De Koninck, Sebastian Brand, and Peter J. Stuckey. Constraints in Non-Boolean Contexts. In Technical Communications of the 27th International Conference on Logic Programming (ICLP'11). Leibniz International Proceedings in Informatics (LIPIcs), Volume 11, pp. 117-127, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


In high-level constraint modelling languages, constraints can occur in non-Boolean contexts: implicitly, in the form of partial functions, or more explicitly, in the form of constraints on local variables in non-Boolean expressions. Specifications using these facilities are often more succinct. However, these specifications are typically executed on solvers that only support questions of the form of existentially quantified conjunctions of constraints. We show how we can translate expressions with constraints appearing in non-Boolean contexts into conjunctions of ordinary constraints. The translation is clearly structured into constrained type elimination, local variable lifting and partial function elimination. We explain our approach in the context of the modelling language Zinc. An implementation of it is an integral part of our Zinc compiler.
  • Constraint modelling languages
  • model transformation
  • partial functions


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