Polymorphic typing by abstract interpretation

  • B. Monsuez
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 652)


This paper presents a generic method which uses the framework of Abstract Interpretation as defined by the Cousots [6] to build type reconstruction algorithms. Fundamentally, this method is based upon the combination of an upper and a lower approximation as well as the use of widening operators to insure algorithm termination. We illustrate this method with a type reconstruction algorithm of the expressions of a ML-like language more or less similar to Mycroft's ML+ type system[14]. We first show that restricting recursively defined constants to monomorphic types—as in ML—can be seen as a widening operator. Then we exhibit a less restrictive operator which lets recursively defined expressions have polymorphic types, while still insuring algorithm termination.


Type System Widening Operator Type Scheme Abstract Interpretation Type Inference 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • B. Monsuez
    • 1
  1. 1.Laboratoire de l'École Normale Supérieure (URA CNRS 1327)Paris

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