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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

Abstracting Gradual Typing (AGT) is an approach to systematically deriving gradual counterparts to static type disciplines. The approach consists of defining the semantics of gradual types by interpreting them as sets of static types, and…

Programming Languages · Computer Science 2015-11-23 Ronald Garcia , Éric Tanter

A key challenge when statically typing so-called dynamic languages is the ubiquity of value-based overloading, where a given function can dynamically reflect upon and behave according to the types of its arguments. Thus, to establish basic…

Programming Languages · Computer Science 2015-05-01 Panagiotis Vekris , Benjamin Cosman , Ranjit Jhala

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

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

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

Dynamic languages are praised for their flexibility and expressiveness, but static analysis often yields many false positives and verification is cumbersome for lack of structure. Hence, unit testing is the prevalent incomplete method for…

Programming Languages · Computer Science 2015-02-06 Robert Jakob , Peter Thiemann

Modern languages are equipped with static type checking/inference that helps programmers to keep a clean programming style and to reduce errors. However, the ever-growing size of programs and their continuous evolution require building fast…

Programming Languages · Computer Science 2018-11-28 Matteo Busi , Pierpaolo Degano , Letterio Galletta

We describe an alternative approach to handling mutable references (aka. pointers) within a gradually typed language that has different efficiency characteristics than the prior approach of Herman et al. [2010]. In particular, we reduce the…

Programming Languages · Computer Science 2014-07-15 Jeremy G. Siek , Michael M. Vitousek

Dynamically typed object-oriented languages enable programmers to write elegant, reusable and extensible programs. However, with the current methodology for program verification, the absence of static type information creates significant…

Programming Languages · Computer Science 2015-01-13 Björn Engelmann , Ernst-Rüdiger Olderog , Nils Erik Flick

A gradual type system allows developers to declare certain types to be enforced by the compiler (i.e., statically typed), while leaving other types to be enforced via runtime checks (i.e., dynamically typed). When runtime checks fail,…

Programming Languages · Computer Science 2025-03-03 Felipe Bañados Schwerter , Ronald Garcia , Reid Holmes , Karim Ali

Coroutine, as a powerful programming construct, is widely used in asynchronous applications to replace thread-based programming or the callback hell. Using coroutines makes code more readable and maintainable, for its ability to transfer…

Programming Languages · Computer Science 2026-02-24 Qiqi Gu , Wei Ke

Automated unit test generation is an established research field, and mature test generation tools exist for statically typed programming languages such as Java. It is, however, substantially more difficult to automatically generate…

Software Engineering · Computer Science 2020-10-07 Stephan Lukasczyk , Florian Kroiß , Gordon Fraser

Whilst there have been great advances in HPC hardware and software in recent years, the languages and models that we use to program these machines have remained much more static. This is not from a lack of effort, but instead by virtue of…

Programming Languages · Computer Science 2016-10-31 Nick Brown

Elixir is a functional programming language with dynamic typing. We propose a gradual type system that makes it possible to perform type-checking on a significant fragment of the language. An important feature of the type system is that it…

Programming Languages · Computer Science 2021-04-20 Mauricio Cassola , Agustín Talagorria , Alberto Pardo , Marcos Viera

One form of type checking used in gradually typed language is transient type checking: whenever an object 'flows' through code with a type annotation, the object is dynamically checked to ensure it has the methods required by the…

Programming Languages · Computer Science 2019-09-13 Isaac Oscar Gariano , Richard Roberts , Stefan Marr , Michael Homer , James Noble

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

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

Liquid typing provides a decidable refinement inference mechanism that is convenient but subject to two major issues: (1) inference is global and requires top-level annotations, making it unsuitable for inference of modular code components…

Programming Languages · Computer Science 2019-10-31 Niki Vazou , Éric Tanter , David Van Horn

Python's typing system has evolved pragmatically into a powerful but theoretically fragmented system, with scattered specifications. This paper proposes a formalization to address this fragmentation. The central contribution is a formal…

Programming Languages · Computer Science 2025-09-17 Andrei Nacu , Dorel Lucanu