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We propose a novel method for inferring refinement types of higher-order functional programs. The main advantage of the proposed method is that it can infer maximally preferred (i.e., Pareto optimal) refinement types with respect to a…

Programming Languages · Computer Science 2015-05-19 Kodai Hashimoto , Hiroshi Unno

Infinite-state systems such as distributed protocols are challenging to verify using interactive theorem provers or automatic verification tools. Of these techniques, deductive verification is highly expressive but requires the user to…

Programming Languages · Computer Science 2019-05-21 Yotam M. Y. Feldman , James R. Wilcox , Sharon Shoham , Mooly Sagiv

Type inference for dynamic programming languages such as Python is an important yet challenging task. Static type inference techniques can precisely infer variables with enough static constraints but are unable to handle variables with…

Software Engineering · Computer Science 2022-02-10 Yun Peng , Cuiyun Gao , Zongjie Li , Bowei Gao , David Lo , Qirun Zhang , Michael Lyu

Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of particular use in dependently typed programming are indexed types that refine data by computationally useful…

Logic in Computer Science · Computer Science 2015-07-01 Robert Atkey , Patricia Johann , Neil Ghani

In this paper we present a new static data type inference algorithm for logic programming. Without the need of declaring types for predicates, our algorithm is able to automatically assign types to predicates which, in most cases,…

Programming Languages · Computer Science 2021-08-17 João Barbosa , Mário Florido , Vítor Santos Costa

Statically typed languages offer numerous benefits to developers, such as improved code quality and reduced runtime errors, but they also require the overhead of manual type annotations. To mitigate this burden, language designers have…

Software Engineering · Computer Science 2024-11-01 Samuel W. Flint , Ali M. Keshk , Robert Dyer , Hamid Bagheri

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

A type system combining type application, constants as types, union types (associative, commutative and idempotent) and recursive types has recently been proposed for statically typing path polymorphism, the ability to define functions that…

Logic in Computer Science · Computer Science 2020-06-30 Juan Edi , Andrés Viso , Eduardo Bonelli

We present Dependent JavaScript (DJS), a statically-typed dialect of the imperative, object-oriented, dynamic language. DJS supports the particularly challenging features such as run-time type-tests, higher-order functions, extensible…

Programming Languages · Computer Science 2012-08-02 Ravi Chugh , David Herman , Ranjit Jhala

For many compiled languages, source-level types are erased very early in the compilation process. As a result, further compiler passes may convert type-safe source into type-unsafe machine code. Type-unsafe idioms in the original source and…

Programming Languages · Computer Science 2016-03-22 Matthew Noonan , Alexey Loginov , David Cok

We address the problem of local type inference for a language based on System F with context-free session types. We present an algorithm that leverages the bidirectional type checking approach to propagate type information, enabling first…

Programming Languages · Computer Science 2025-05-28 Bernardo Almeida , Andreia Mordido , Vasco T. Vasconcelos

Pluggable type systems allow programmers to extend the type system of a programming language to enforce semantic properties defined by the programmer. Pluggable type systems are difficult to deploy in legacy codebases because they require…

Software Engineering · Computer Science 2025-10-06 Kazi Amanul Islam Siddiqui , Martin Kellogg

Python's dynamic type system, while offering significant flexibility and expressiveness, poses substantial challenges for static analysis and automated tooling, particularly in unannotated or partially annotated codebases. Existing type…

Software Engineering · Computer Science 2026-04-08 Ali Aman , Muhammad Asaduzzaman , Shaowei Wang

Dynamic languages, such as Python and Javascript, trade static typing for developer flexibility and productivity. Lack of static typing can cause run-time exceptions and is a major factor for weak IDE support. To alleviate these issues, PEP…

Machine Learning · Computer Science 2022-01-20 Amir M. Mir , Evaldas Latoskinas , Sebastian Proksch , Georgios Gousios

Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for LF in the style of recent formulations where only canonical…

Programming Languages · Computer Science 2015-07-01 William Lovas , Frank Pfenning

We study a type checking algorithm that is able to type check a nontrivial subclass of functional programs that use features such as higher-rank, impredicative and second-order types. The only place the algorithm requires type annotation is…

Logic in Computer Science · Computer Science 2017-11-15 Peng Fu

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

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

We present a new approach to the type inference problem for dynamic languages. Our goal is to combine \emph{logical} constraints, that is, deterministic information from a type system, with \emph{natural} constraints, that is, uncertain…

Programming Languages · Computer Science 2021-03-30 Irene Vlassi Pandi , Earl T. Barr , Andrew D. Gordon , Charles Sutton

Refinement types enrich a language's type system with logical predicates that circumscribe the set of values described by the type, thereby providing software developers a tunable knob with which to inform the type system about what…

Programming Languages · Computer Science 2020-10-16 Ranjit Jhala , Niki Vazou