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Gradual Certified Programming in Coq

Éric Tanter 1 Nicolas Tabareau 2, 3
2 ASCOLA - Aspect and composition languages
Inria Rennes – Bretagne Atlantique , Département informatique - EMN, LINA - Laboratoire d'Informatique de Nantes Atlantique
Abstract : Expressive static typing disciplines are a powerful way to achieve high-quality software. However, the adoption cost of such techniques should not be under-estimated. Just like gradual typing allows for a smooth transition from dynamically-typed to statically-typed programs, it seems desirable to support a gradual path to certified program- ming. We explore gradual certified programming in Coq, providing the possibility to postpone the proofs of selected properties, and to check “at runtime” whether the properties actually hold. Casts can be integrated with the implicit coercion mechanism of Coq to support implicit cast insertion a` la gradual typing. Additionally, when extracting Coq functions to mainstream languages, our encoding of casts sup- ports lifting assumed properties into runtime checks. Much to our surprise, it is not necessary to extend Coq in any way to support gradual certified programming. A simple mix of type classes and axioms makes it possible to bring gradual certified programming to Coq in a straightforward manner.
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https://hal.inria.fr/hal-01238774
Contributor : Nicolas Tabareau <>
Submitted on : Monday, December 7, 2015 - 10:19:46 AM
Last modification on : Wednesday, May 6, 2020 - 8:18:02 PM

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Éric Tanter, Nicolas Tabareau. Gradual Certified Programming in Coq. 11th ACM Dynamic Languages Symposium (DLS 2015), Oct 2015, Pittsburgh, United States. ⟨10.1145/2816707.2816710⟩. ⟨hal-01238774⟩

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