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Type analyses of logic programs which aim at inferring the types of the program being analyzed are presented in a unified abstract interpretation-based framework. This covers most classical abstract interpretation-based type analyzers for…

Software Engineering · Computer Science 2009-09-29 Claudio Vaucheret , Francisco Bueno

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

Extending a given language with new dedicated features is a general and quite used approach to make the programming language more adapted to problems. Being closer to the application, this leads to less programming flaws and easier…

Logic in Computer Science · Computer Science 2010-03-26 Claude Kirchner , Pierre-Etienne Moreau , Cláudia Tavares

We introduce two-sided type systems, which are sequent calculi for typing formulas. Two-sided type systems allow for hypothetical reasoning over the typing of compound program expressions, and the refutation of typing formulas. By…

Programming Languages · Computer Science 2023-10-23 Steven Ramsay , Charlie Walpole

In Programming by Example, a system attempts to infer a program from input and output examples, generally by searching for a composition of certain base functions. Performing a naive brute force search is infeasible for even mildly involved…

Artificial Intelligence · Computer Science 2012-09-19 Aditya Krishna Menon , Omer Tamuz , Sumit Gulwani , Butler Lampson , Adam Tauman Kalai

Designing and implementing typed programming languages is hard. Every new type system feature requires extending the metatheory and implementation, which are often complicated and fragile. To ease this process, we would like to provide…

Programming Languages · Computer Science 2020-08-18 Jana Dunfield

Erlang is a functional programming language with dynamic typing. The language offers great flexibility for destructing values through pattern matching and dynamic type tests. Erlang also comes with a type language supporting parametric…

Programming Languages · Computer Science 2025-08-04 Albert Schimpf , Stefan Wehr , Annette Bieniusa

Ideally, the time that an incremental algorithm uses to process a change should be a function of the size of the change rather than, say, the size of the entire current input. Based on a formalization of ``the set of things changed'' by an…

cmp-lg · Computer Science 2008-02-03 Mats Wirén

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

Many object-oriented dynamic languages allow programmers to _extract methods_ from objects and treat them as functions. This allows for flexible programming patterns, but presents challenges for type systems. In particular, a simple…

Programming Languages · Computer Science 2021-11-23 Yuquan Fu , Sam Tobin-Hochstadt

This work introduces the novel concept of kind refinement, which we develop in the context of an explicitly polymorphic ML-like language with type-level computation. Just as type refinements embed rich specifications by means of…

Programming Languages · Computer Science 2019-08-02 Luís Caires , Bernardo Toninho

Iterative text revision improves text quality by fixing grammatical errors, rephrasing for better readability or contextual appropriateness, or reorganizing sentence structures throughout a document. Most recent research has focused on…

Computation and Language · Computer Science 2022-12-05 Zae Myung Kim , Wanyu Du , Vipul Raheja , Dhruv Kumar , Dongyeop Kang

Static analysis tools typically address the problem of excessive false positives by requiring programmers to explicitly annotate their code. However, when faced with incomplete annotations, many analysis tools are either too conservative,…

Programming Languages · Computer Science 2021-07-16 Sam Estep , Jenna Wise , Jonathan Aldrich , Éric Tanter , Johannes Bader , Joshua Sunshine

In recent years, there has been an increased interest in tools that establish \emph{incorrectness} rather than correctness of program properties. In this work we build on this approach by developing a novel methodology to prove…

Programming Languages · Computer Science 2024-09-24 Kelvin Qian , Scott Smith , Brandon Stride , Shiwei Weng , Ke Wu

Instrumenting programs for performing run-time checking of properties, such as regular shapes, is a common and useful technique that helps programmers detect incorrect program behaviors. This is specially true in dynamic languages such as…

Programming Languages · Computer Science 2018-04-09 Maximiliano Klemen , Nataliia Stulova , Pedro Lopez-Garcia , José F. Morales , Manuel V. Hermenegildo

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

A program is characterized by its input model, and a formal input model can be of use in diverse areas including vulnerability analysis, reverse engineering, fuzzing and software testing, clone detection and refactoring. Unfortunately,…

Software Engineering · Computer Science 2019-12-13 Rahul Gopinath , Björn Mathis , Andreas Zeller

In this paper, we present type systems for flow-sensitive pointer analysis, live stack-heap (variables) analysis, and program optimization. The type system for live stack-heap analysis is an enrichment of that for pointer analysis; the…

Software Engineering · Computer Science 2011-04-05 Mohamed A. El-Zawawy

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

We propose a new language feature for ML-family languages, the ability to selectively unbox certain data constructors, so that their runtime representation gets compiled away to just the identity on their argument. Unboxing must be…

Programming Languages · Computer Science 2024-05-10 Nicolas Chataing , Stephen Dolan , Gabriel Scherer , Jeremy Yallop