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Related papers: Set-Theoretic Types for Erlang: Theory, Implementa…

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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

Our research is part of a wider project that aims to investigate and reason about the correctness of scheme-based source code transformations of Erlang programs. In order to formally reason about the definition of a programming language and…

Programming Languages · Computer Science 2020-08-19 Péter Bereczky , Dániel Horpácsi , Simon Thompson

Type soundness is an important property of modern programming languages. In this paper we explore the idea that "well-typed languages are sound": the idea that the appropriate typing discipline over language specifications guarantees that…

Programming Languages · Computer Science 2016-11-17 Matteo Cimini , Dale Miller , Jeremy G. Siek

In order to reason about the behaviour of programs described in a programming language, a mathematically rigorous definition of that language is needed. In this paper, we present a machine-checked formalisation of concurrent Core Erlang (a…

Programming Languages · Computer Science 2023-11-20 Péter Bereczky , Dániel Horpácsi , Simon Thompson

In this paper we will construct a set-theoretic model of types featuring type variables, base types, set-theoretic types and map types. Syntax of map types spans all the map types available in Erlang. The model of types is used to define a…

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

Static verification of a program source code correctness is an important element of software reliability. Formal verification of software programs involves proving that a program satisfies a formal specification of its behavior. Many…

Software Engineering · Computer Science 2017-10-19 Daniel de Carvalho , Manuel Mazzara , Bogdan Mingela , Larisa Safina , Alexander Tchitchigin , Nikolay Troshkov

In this paper, we propose a way of assigning static type information to unmarshalling functions and we describe a verification technique for unmarshalled data that preserves the execution safety provided by static type checking. This…

Programming Languages · Computer Science 2007-05-23 Grégoire Henry , Michel Mauny , Emmanuel Chailloux

When scripts in untyped languages grow into large programs, maintaining them becomes difficult. A lack of explicit type annotations in typical scripting languages forces programmers to must (re)discover critical pieces of design information…

Programming Languages · Computer Science 2011-06-15 Sam Tobin-Hochstadt , Matthias Felleisen

We present a small-step, frame stack style, semantics for sequential Core Erlang, a dynamically typed, impure functional programming language. The semantics and the properties that we prove are machine-checked with the Coq proof assistant.…

Programming Languages · Computer Science 2023-08-25 Péter Bereczky , Dániel Horpácsi , Simon Thompson

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

We introduce a new two-sided type system for verifying the correctness and incorrectness of functional programs with atoms and pattern matching. A key idea in the work is that types should range over sets of normal forms, rather than sets…

Programming Languages · Computer Science 2026-05-11 Celia Mengyue Li , Sophie Pull , Steven Ramsay

One of the most attractive features of untyped languages is the flexibility in term creation and manipulation. However, with such power comes the responsibility of ensuring the correctness of these operations. A solution is adding run-time…

Programming Languages · Computer Science 2017-10-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

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

In a reversible language, any forward computation can be undone by a finite sequence of backward steps. Reversible computing has been studied in the context of different programming languages and formalisms, where it has been used for…

Programming Languages · Computer Science 2018-06-20 Ivan Lanese , Naoki Nishida , Adrián Palacios , Germán Vidal

In concurrent and distributed systems, software components are expected to communicate according to predetermined protocols and APIs - and if a component does not observe them, the system's reliability is compromised. Furthermore, isolating…

Programming Languages · Computer Science 2021-05-25 Christian Batrolo Burlò , Adrian Francalanza , Alceste Scalas

**Context:** The design of static type systems that can validate dynamically-typed programs (**gradually**) is an ongoing challenge. A key difficulty is that dynamic code rarely follows datatype-driven design. Programs instead use runtime…

Programming Languages · Computer Science 2025-08-07 Hanwen Guo , Ben Greenman

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

Actor-based systems like Erlang/OTP power critical infrastructure -- from telecommunications to messaging platforms -- handling millions of concurrent connections with legendary reliability. Yet these systems lack static guarantees about…

Programming Languages · Computer Science 2025-12-08 Miguel de Oliveira Guerreiro

Strategy languages enable programmers to compose rewrite rules into strategies and control their application. This is useful in programming languages, e.g., for describing program transformations compositionally, but also in automated…

Programming Languages · Computer Science 2023-04-28 Rongxiao Fu , Ornela Dardha , Michel Steuwer

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