Concoqtion

Abstract
Almost twenty years after the pioneering efforts of Cardelli, the programming languages community is vigorously pursuing ways to incorporateF!-style indexed types into programming languages. This paper advocates Concoqtion, a practical approach to adding such highly expressive types to full-fledged programming lan- guages. The approach is applied to MetaOCaml using the Coq proof checker to conservatively extend Hindley-Milner type in- ference. The implementation of MetaOCaml Concoqtion requires minimal modifications to the syntax, the type checker, and the com- piler; and yields a language comparable in notation to the leading proposals. The resulting language provides unlimited expressive- ness in the type system while maintaining decidability. Further- more, programmers can take advantage of a wide range of libraries not only for the programming language but also for the indexed types. Programming in MetaOCaml Concoqtion is illustrated with small examples and a case study implementing a statically-typed domain-specific language.

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