Parametric polymorphism and gradual typing have proven to be a difficult combination, with
no language yet produced that satisfies the fundamental theorems of each: parametricity …

Bringing the benefits of gradual typing to a language with parametric polymorphism like
System F, while preserving relational parametricity, has proven extremely challenging: first …

We investigate gradual variations on the Calculus of Inductive Construction (CIC) for swifter
prototyping with imprecise types and terms. We observe, with a no-go theorem, a crucial …

Dependent types help programmers write highly reliable code. However, this reliability
comes at a cost: it can be challenging to write new prototypes in (or migrate old code to) …

Durant leurs plus de 50 ans d'existence, les assistants à la preuve se sont établis comme
des outils permettant un haut niveau de fiabilité dans de nombreuses applications …

Abstracting Gradual Typing (AGT) is a systematic approach to designing gradually-typed
languages. Languages developed using AGT automatically satisfy the formal semantic …

Gradual typing is an effective approach to integrate static and dynamic typing, which
supports the smooth transition between both extremes via the imprecision of type …

We can tease apart the research on gradual types into twolineages': a pragmatic,
implementation-oriented dynamic-first lineage and a formal, type-theoretic, static-first …

One of the standard correctness criteria for gradual typing is the dynamic gradual guarantee,
which ensures that loosening type annotations in a program does not affect its behavior in …

What is a good gradual language? Siek et al. have previously proposed the refined criteria,
a set of formal ideas that characterize a range of guarantees typically expected from a …