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Related papers: Gradual Typing in an Open World

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Gradual typing enables programmers to combine static and dynamic typing in the same language. However, ensuring a sound interaction between the static and dynamic parts can incur significant runtime cost. In this paper, we perform a…

Programming Languages · Computer Science 2019-02-22 Michael M. Vitousek , Jeremy G. Siek , Avik Chaudhuri

Gradual typing has gained popularity as a design choice for integrating static and dynamic typing within a single language. Several practical languages have adopted gradual typing to offer programmers the flexibility to annotate their…

Programming Languages · Computer Science 2026-03-09 Senxi Li , Feng Dai , Tetsuro Yamazaki , Shigeru Chiba

Mixed-typed languages enable programmers to link typed and untyped components in various ways. Some offer rich type systems to facilitate the smooth migration of untyped code to the typed world; others merely provide a convenient form of…

Programming Languages · Computer Science 2021-11-23 Ben Greenman , Lukas Lazarek , Christos Dimoulas , Matthias Felleisen

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

Transient gradual typing imposes run-time type tests that typically cause a linear slowdown in programs' performance. This performance impact discourages the use of type annotations because adding types to a program makes the program…

Programming Languages · Computer Science 2019-02-19 Richard Roberts , Stefan Marr , Michael Homer , James Noble

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

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…

Programming Languages · Computer Science 2015-08-25 Éric Tanter , Nicolas Tabareau

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

Context: Gradually-typed languages allow typed and untyped code to interoperate, but typically come with significant drawbacks. In some languages, the types are unreliable; in others, communication across type boundaries can be extremely…

Programming Languages · Computer Science 2022-06-29 Kuang-Chen Lu , Ben Greenman , Carl Meyer , Dino Viehland , Aniket Panse , Shriram Krishnamurthi

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

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

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

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

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

Gradual typing enables developers to annotate types of their own choosing, offering a flexible middle ground between no type annotations and a fully statically typed language. As more and more code bases get type-annotated, static type…

Software Engineering · Computer Science 2024-01-15 Yiu Wai Chow , Luca Di Grazia , Michael Pradel

Reasoning about the sensitivity of functions with respect to their inputs has interesting applications in various areas, such as differential privacy. In order to check and enforce sensitivity, several approaches have been developed,…

Programming Languages · Computer Science 2025-03-14 Damian Arquez , Matías Toro , Éric Tanter

Abstracting Gradual Typing (AGT) is a systematic approach to designing gradually-typed languages. Languages developed using AGT automatically satisfy the formal semantic criteria for gradual languages identified by Siek et al. [2015].…

Programming Languages · Computer Science 2020-11-13 Felipe Bañados Schwerter , Alison M. Clark , Khurram A. Jafery , Ronald Garcia

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

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

Python type annotations enable static type checking, but most code remains untyped because manual annotation is time-consuming and tedious. Past approaches to automatic type inference fall short: static methods struggle with dynamic…

Programming Languages · Computer Science 2026-03-12 Juan Altmayer Pizzorno , Emery D. Berger
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