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Partial functions are common abstractions in formal specification notationssuch as Z, B and Alloy. Conversely, executable programming languages usuallyprovide little or no support for them. In this paper we propose to add partialfunctions as a primitive feature to a Constraint Logic Programming (CLP)language, namely {log}. Although partial functions could be programmed on topof {log}, providing them as first-class citizens adds valuable flexibility andgenerality to the form of set-theoretic formulas that the language can safelydeal with. In particular, the paper shows how the {log} constraint solver isnaturally extended in order to accommodate for the new primitive constraintsdealing with partial functions. Efficiency of the new version is empiricallyassessed by running a number of non-trivial set-theoretical goals involvingpartial functions, obtained from specifications written in Z.

Adding Partial Functions to Constraint Logic Programming with Sets