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Anindya Banerjee

A modular, polyvariant, and type-based closure analysis

In Proc. 1997 Int'l Conf. Functional Programming, pages 1-10 ACM Press, 1997


We observe that the principal typing property of a type system is the enabling technology for modularity and separate compilation [96]. We use this technology to formulate a modular and polyvariant closure analysis, based on the rank 2 intersection types annotated with control-flow information.

Modularity manifests itself in a syntax-directed, annotated-type inference algorithm that can analyse program fragments containing free variables: a principal typing property is used to formalise it. Polyvariance manifests itself in the separation of different behaviours of the same function at its different uses: this is formalised via the rank 2 intersection types. As the rank 2 intersection type discipline types at least all (core) ML programs, our analysis can be used in the separate compilation of such programs.


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