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Giuseppe Castagna (PPS)

Set-theoretic Parametric Polymorphism and Subtyping

Jeudi 1er décembre 2011, 11h salle 1D23

(joint work with Zhiwu Xu)

We define and study parametric polymorphism for a type system with recursive, product, union, intersection, negation, and function types. We first recall why the definition of such a system was considered hard —when not impossible— and then present the main ideas at the basis of our solution. In particular, we introduce the notion of “convexity” on which our solution is built up and discuss its connections with parametricity as defined by Reynolds to whose study our might shed new light.