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Erlang's dynamic typing discipline can lead to runtime errors that persist even after process restarts. Some of these runtime errors could be prevented through static type checking. While Erlang provides a type specification language, the…

Programming Languages · Computer Science 2026-03-24 Albert Schimpf , Stefan Wehr , Annette Bieniusa

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

Benefits of static type systems are well-known: they offer guarantees that no type error will occur during runtime and, inherently, inferred types serve as documentation on how functions are called. On the other hand, many type systems have…

Programming Languages · Computer Science 2020-08-31 Isabel Wingen , Philipp Körner

We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluation algorithm. We prove completeness and soundness of the…

Logic in Computer Science · Computer Science 2015-07-01 Andreas Abel , Thierry Coquand , Miguel Pagano

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

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

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

In this paper we use pre existing language support for type modifiers and object capabilities to enable a system for sound runtime verification of invariants. Our system guarantees that class invariants hold for all objects involved in…

Programming Languages · Computer Science 2019-02-28 Isaac Oscar Gariano , Marco Servetto , Alex Potanin

Observational determinism is a security property that characterizes secure information flow for multithreaded programs. Most of the methods that have been used to verify observational determinism are based on either type systems or…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

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 propose a novel type system for verifying that programs correctly implement constant-resource behavior. Our type system extends recent work on automatic amortized resource analysis (AARA), a set of techniques that automatically derive…

Programming Languages · Computer Science 2018-01-09 Van Chan Ngo , Mario Dehesa-Azuara , Matthew Fredrikson , Jan Hoffmann

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 formalize a new type system for Elixir, a dynamically typed functional programming language of growing popularity that runs on the Erlang virtual machine. Our system combines gradual typing with semantic subtyping to enable precise,…

Programming Languages · Computer Science 2025-09-30 Giuseppe Castagna , Guillaume Duboc

In this paper, we describe our experience incorporating gradual types in a statically typed functional language with Hindley-Milner style type inference. Where most gradually typed systems aim to improve static checking in a dynamically…

Programming Languages · Computer Science 2021-02-01 Bhargav Shivkumar , Enrique Naudon , Lukasz Ziarek

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

Python type annotations enable static type checking, but most code remains untyped because manual annotation is time-consuming and tedious. Past approaches to automatic type inference fall short: static methods struggle with dynamic…

Programming Languages · Computer Science 2026-03-12 Juan Altmayer Pizzorno , Emery D. Berger

Scientific software is, by its very nature, complex. It is mathematical and highly optimized which makes it prone to subtle bugs not as easily detected by traditional testing. We outline how symbolic execution can be used to write tests…

Software Engineering · Computer Science 2025-10-16 Alexander C. Wilton

Cryptographic algorithms and protocols often need unique random numbers as parameters (e.g. nonces). Failure to satisfy this requirement lead to vulnerable implementation and can result in security breach. We show how linear types and…

Cryptography and Security · Computer Science 2023-05-09 Richard Ostertág

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

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
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