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Related papers: Gradual Sensitivity Typing

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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) dependently-typed programming languages. Gradual typing makes…

Programming Languages · Computer Science 2019-08-23 Joseph Eremondi , Éric Tanter , Ronald Garcia

A long-standing shortcoming of statically typed functional languages is that type checking does not rule out pattern-matching failures (run-time match exceptions). Refinement types distinguish different values of datatypes; if a program…

Programming Languages · Computer Science 2020-09-22 Khurram A. Jafery , Jana Dunfield

Bringing the benefits of gradual typing to a language with parametric polymorphism like System F, while preserving relational parametricity, has proven extremely challenging: first attempts were formulated a decade ago, and several designs…

Programming Languages · Computer Science 2020-06-01 Elizabeth Labrada , Matías Toro , Éric Tanter

Session types are a rich type discipline, based on linear types, that lifts the sort of safety claims that come with type systems to communications. However, web-based applications and microservices are often written in a mix of languages,…

Programming Languages · Computer Science 2019-11-20 Atsushi Igarashi , Peter Thiemann , Yuya Tsuda , Vasco T. Vasconcelos , Philip Wadler

In this paper, we describe our experience incorporating gradual types in a statically typed functional language with Hindley-Milner style type inference. Where most gradually typed systems aim to improve static checking in a dynamically…

Programming Languages · Computer Science 2021-02-01 Bhargav Shivkumar , Enrique Naudon , Lukasz Ziarek

Gradual typing combines static and dynamic typing in the same language, offering the benefits of both to programmers. Static typing provides error detection and strong guarantees while dynamic typing enables rapid prototyping and flexible…

Programming Languages · Computer Science 2016-10-27 Michael M. Vitousek , Jeremy G. Siek

Information flow type systems enforce the security property of noninterference by detecting unauthorized data flows at compile-time. However, they require precise type annotations, making them difficult to use in practice as much of the…

Programming Languages · Computer Science 2021-02-10 Abhishek Bichhawat , McKenna McCall , Limin Jia

Probabilistic programming languages have recently gained a lot of attention, in particular due to their applications in domains such as machine learning and differential privacy. To establish invariants of interest, many such languages…

Programming Languages · Computer Science 2026-04-08 Wenjia Ye , Matías Toro , Federico Olmedo

Gradually typed languages are designed to support both dynamically typed and statically typed programming styles while preserving the benefits of each. While existing gradual type soundness theorems for these languages aim to show that…

Programming Languages · Computer Science 2018-11-07 Max S. New , Daniel R. Licata , Amal Ahmed

Gradually typed programming languages, which allow for soundly mixing static and dynamically typed programming styles, present a strong challenge for metatheorists. Even the simplest sound gradually typed languages feature at least…

Programming Languages · Computer Science 2025-07-14 Eric Giovannini , Tingting Ding , Max S. New

Gradual dependent types can help with the incremental adoption of dependently typed code by providing a principled semantics for imprecise types and proofs, where some parts have been omitted. Current theories of gradual dependent types,…

Programming Languages · Computer Science 2022-05-04 Joseph Eremondi , Ronald Garcia , Éric Tanter

Gradual typing is an approach to integrating static and dynamic typing within the same language, and puts the programmer in control of which regions of code are type checked at compile-time and which are type checked at run-time. In this…

Programming Languages · Computer Science 2019-09-16 Matteo Cimini

We present a gradually typed language, GrEff, with effects and handlers that supports migration from unchecked to checked effect typing. This serves as a simple model of the integration of an effect typing discipline with an existing…

Programming Languages · Computer Science 2023-04-06 Max S. New , Eric Giovannini , Daniel R. Licata

Gradually typed languages allow statically typed and dynamically typed code to interact while maintaining benefits of both styles. The key to reasoning about these mixed programs is Siek-Vitousek-Cimini-Boyland's (dynamic) gradual…

Programming Languages · Computer Science 2018-07-10 Max S. New , Amal Ahmed

Gradually-typed programming languages permit the incremental addition of static types to untyped programs. To remain sound, languages insert run-time checks at the boundaries between typed and untyped code. Unfortunately, performance…

Programming Languages · Computer Science 2020-10-13 Cameron Moy , Phúc C. Nguyen , Sam Tobin-Hochstadt , David Van Horn

Gradually-typed languages feature a dynamic type that supports implicit coercions, greatly weakening the type system but making types easier to adopt. Understanding how developers use this dynamic type is a critical question for the design…

Programming Languages · Computer Science 2025-03-13 Dibri Nsofor , Ben Greenman

Harnessing the power of dependently typed languages can be difficult. Programmers must manually construct proofs to produce well-typed programs, which is not an easy task. In particular, migrating code to these languages is challenging.…

Programming Languages · Computer Science 2021-07-13 Joseph Eremondi , Ronald Garcia , Éric Tanter

We formalize a new type system for Elixir, a dynamically typed functional programming language of growing popularity that runs on the Erlang virtual machine. Our system combines gradual typing with semantic subtyping to enable precise,…

Programming Languages · Computer Science 2025-09-30 Giuseppe Castagna , Guillaume Duboc

Gradual typing combines static and dynamic typing in the same program. One would hope that the performance in a gradually typed language would range between that of a dynamically typed language and a statically typed language. Existing…

Programming Languages · Computer Science 2018-02-20 Andre Kuhlenschmidt , Deyaaeldeen Almahallawi , Jeremy G. Siek

Languages with gradual information-flow control combine static and dynamic techniques to prevent security leaks. Gradual languages should satisfy the gradual guarantee: programs that only differ in the precision of their type annotations…

Programming Languages · Computer Science 2024-04-10 Tianyu Chen , Jeremy G. Siek
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