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Adding partial functions to Constraint Logic Programming with sets

Published online by Cambridge University Press:  03 September 2015

MAXIMILIANO CRISTIÁ ,
GIANFRANCO ROSSI  and
CLAUDIA FRYDMAN
MAXIMILIANO CRISTIÁ
Affiliation:
CIFASIS and UNR, Rosario, Argentina (e-mail: [email protected])
GIANFRANCO ROSSI
Affiliation:
Università degli Studi di Parma, Parma, Italy (e-mail: [email protected])
CLAUDIA FRYDMAN
Affiliation:
Aix Marseille Univ., CNRS, ENSAM, Univ. de Toulon, LSIS UMR 7296, France (e-mail: [email protected])
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Abstract

Partial functions are common abstractions in formal specification notations such as Z, B and Alloy. Conversely, executable programming languages usually provide little or no support for them. In this paper we propose to add partial functions as a primitive feature to a Constraint Logic Programming (CLP) language, namely {log}. Although partial functions could be programmed on top of {log}, providing them as first-class citizens adds valuable flexibility and generality to the form of set-theoretic formulas that the language can safely deal with. In particular, the paper shows how the {log} constraint solver is naturally extended in order to accommodate for the new primitive constraints dealing with partial functions. Efficiency of the new version is empirically assessed by running a number of non-trivial set-theoretical goals involving partial functions, obtained from specifications written in Z.

Keywords

CLP{log}set theorypartial functions
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 15 , Special Issue 4-5: 31st International Conference on Logic Programming , July 2015 , pp. 651 - 665
Copyright
Copyright © Cambridge University Press 2015 

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