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Abstract

Functional relations are ubiquitous in combinatorial problems – the Global Constraint Catalog lists 120 functional constraints. This paper argues that the ability to express functional constraints with functional syntax leads to more elegant and readable models, and that it enables a better translation of the models to different underlying solving technologies such as CP, MIP, or SAT.

Yet, most modelling languages only support built-in functions, such as arithmetic, Boolean, or array access operations. Custom, user-defined functions are either not catered for at all, or they have an ad-hoc implementation without a useful semantics in Boolean contexts and not exploiting potential optimisations.

This paper develops a translation from MiniZinc with user-defined functions to FlatZinc. The translation respects the relational semantics of MiniZinc, correctly dealing with partial functions in arbitrary Boolean contexts. At the same time, it takes advantage of the full potential of common subexpression elimination.

Keywords

Modelling Language Relational Semantic Partial Function Global Constraint Host Language 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Peter J. Stuckey
    • 1
  • Guido Tack
    • 2
  1. 1.National ICT Australia (NICTA)University of MelbourneAustralia
  2. 2.National ICT Australia (NICTA) and Faculty of ITMonash UniversityAustralia

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