A Formalization of Static Analyses in System F

  • Frédéric Prost
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1632)


In this paper, we propose a common theoretical framework for type based static analyses. The aim is the study of relationships between typing and program analysis.

We present a variant of Girard’s System F called F stackП stack≤:. We prove standard properties of F stackП stack≤:. We show how it can be used to formalize various program analyses like binding time and dead code. We relate our work to previous analyses in terms of expressivness (often only simply typed calculi are considered) and power (more information can be inferred). F stackП: features polymorphism as well as subtyping at the level of universe extending previous author work where only universe polymorphism (on a simply typed calculus) was considered


Derivation Tree Typing Rule Type Inference Positive Type Negative Type 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Frédéric Prost
    • 1
  1. 1.LIP, Ecole Normale Supérieure de Lyon46 Allée d’ItalieLyon Cedex 07France

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