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In the theory of programming languages, type inference is the process of inferring the type of an expression automatically, often making use of information from the context in which the expression appears. Such mechanisms turn out to be…

Logic in Computer Science · Computer Science 2012-05-10 Jeremy Avigad

The expression problem describes a fundamental tradeoff between two types of extensibility: extending a type with new operations, such as by pattern matching on an algebraic data type in functional programming, and extending a type with new…

Programming Languages · Computer Science 2025-11-21 Bohdan Liesnikov , David Binder , Tim Süberkrüb

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

Design patterns are distilled from many real systems to catalog common programming practice. However, some object-oriented design patterns are distorted or overly complicated because of the lack of supporting programming language constructs…

Programming Languages · Computer Science 2019-06-03 Gerald Baumgartner , Konstantin Läufer , Vincent F. Russo

We previously developed a polymorphic type system and a type checker for a multithreaded lock-based polymorphic typed assembly language (MIL) that ensures that well-typed programs do not encounter race conditions. This paper extends such…

Programming Languages · Computer Science 2010-02-05 Vasco T. Vasconcelos , Francisco Martins , Tiago Cogumbreiro

We present an extension of System F with call-by-name exceptions. The type system is enriched with two syntactic constructs: a union type for programs whose execution may raise an exception at top level, and a corruption type for programs…

Programming Languages · Computer Science 2015-07-01 Sylvain Lebresne

Some test amplification tools extend a manually created test suite with additional test cases to increase the code coverage. The technique is effective, in the sense that it suggests strong and understandable test cases, generally adopted…

Software Engineering · Computer Science 2022-07-27 Mehrdad Abdi , Henrique Rocha , Serge Demeyer , Alexandre Bergel

Semantic subtyping is an approach to define subtyping relations for type systems featuring union and intersection type connectives. It has been studied only for strict languages, and it is unsound for non-strict semantics. In this work, we…

Programming Languages · Computer Science 2021-11-15 Tommaso Petrucciani , Giuseppe Castagna , Davide Ancona , Elena Zucca

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

The framework Pure Type System (PTS) offers a simple and general approach to designing and formalizing type systems. However, in the presence of dependent types, there often exist certain acute problems that make it difficult for PTS to…

Programming Languages · Computer Science 2017-03-28 Hongwei Xi

In type theory, we can express many practical ideas by attributing some additional data to expressions we operate on during compilation. For instance, some substructural type theories augment variables' typing judgments with the information…

Programming Languages · Computer Science 2021-06-17 Aziz Akhmedkhodjaev

Dynamic languages (such as Python and JavaScript) offer flexibility and simplified type handling for programming, but this can also lead to an increase in type-related errors and additional overhead for compile-time type inference. As a…

Software Engineering · Computer Science 2026-04-06 Teyu Lin , Minghao Fan , Huaxun Huang , Zhirong Shen , Rongxin Wu

Typed Clojure is an optional type system for Clojure, a dynamic language in the Lisp family that targets the JVM. Typed Clojure enables Clojure programmers to gain greater confidence in the correctness of their code via static type checking…

Programming Languages · Computer Science 2018-12-11 Ambrose Bonnaire-Sergeant , Rowan Davies , Sam Tobin-Hochstadt

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

We introduce constraints necessary for type checking a higher-order concurrent constraint language, and solve them with an incremental algorithm. Our constraint system extends rational unification by constraints x$\subseteq$ y saying that…

cmp-lg · Computer Science 2008-02-03 Martin Mueller , Joachim Niehren

In the last two decades, tools have been implemented to more formally specify the semantic analysis phase of a compiler instead of relying on handwritten code. In this paper, we introduce patterns and a method to translate a formal…

Programming Languages · Computer Science 2020-02-06 Uwe Meyer , Björn Pfarr

JDBC remains a key technology for database access in Java applications. Since the database dictionary and the Java type system have distinct scopes, developers inevitably need to deal with bugs in SQL-to-Java type mappings. We propose an…

Databases · Computer Science 2026-05-05 Thomas James Kirz , Werner Dietl , Mattias Ulbrich , Stefanie Scherzinger

Toman et al. have proposed a type system for automatic verification of low-level programs, which combines ownership types and refinement types to enable strong updates of refinement types in the presence of pointer aliases. We extend their…

Programming Languages · Computer Science 2023-12-12 Izumi Tanaka , Ken Sakayori , Naoki Kobayashi

Context. An extension method is a method declared in a package other than the package of its host class. Thanks to extension methods, developers can adapt to their needs classes they do not own: adding methods to core classes is a typical…

Programming Languages · Computer Science 2017-08-08 Guillermo Polito , Camille Teruel , Stéphane Ducasse , Luc Fabresse

Generics have been added to Java so as to increase the expressiveness of its type system. Generics in Java, however, include some features---such as Java wildcards, $F$-bounded generics, and Java erasure---that have been hard to analyze and…

Programming Languages · Computer Science 2019-06-11 Moez A. AbdelGawad