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Coverage Types provide a suitable type mechanism that integrates under-approximation logic to support Property-Based Testing. They are used to type the return value of a function that represents an input test generator. This allows us to…

Logic in Computer Science · Computer Science 2025-02-25 Angelo Passarelli , Gian-Luigi Ferrari

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

In software reverse engineering, decompilation is the process of recovering source code from binary files. Decompilers are used when it is necessary to understand or analyze software for which the source code is not available. Although…

Software Engineering · Computer Science 2021-02-25 Javier Escalada , Ted Scully , Francisco Ortin

A coverage type generalizes refinement types found in many functional languages with support for must-style underapproximate reasoning. Property-based testing frameworks are one particularly useful domain where such capabilities are useful…

Programming Languages · Computer Science 2025-09-03 Zhe Zhou , Benjamin Delaware , Suresh Jagannathan

Conditional-independence-based discovery uses statistical tests to identify a graphical model that represents the independence structure of variables in a dataset. These tests, however, can be unreliable, and algorithms are sensitive to…

Machine Learning · Computer Science 2026-04-21 Philipp M. Faller , Dominik Janzing

The ability to cast values between related types is a leitmotiv of many flavors of dependent type theory, such as observational type theories, subtyping, or cast calculi for gradual typing. These casts all exhibit a common structural…

Programming Languages · Computer Science 2025-12-09 Arthur Adjedj , Meven Lennon-Bertrand , Thibaut Benjamin , Kenji Maillard

We demonstrate how category theory provides specifications that can efficiently be implemented via imperative algorithms and apply this to the field of graph rewriting. By examples, we show how this paradigm of software development makes it…

Logic in Computer Science · Computer Science 2023-04-03 Kristopher Brown , Evan Patterson , Tyler Hanks , James Fairbanks

We present an extension to the labelling approach, a technique for lifting resource consumption information from compiled to source code. This approach, which is at the core of the annotating compiler from a large fragment of C to 8051…

Programming Languages · Computer Science 2013-06-13 Paolo Tranquilli

Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from data…

Methodology · Statistics 2026-04-02 Lucas Kook , Søren Wengel Mogensen

Category theory has been successfully applied in various domains of science, shedding light on universal principles unifying diverse phenomena and thereby enabling knowledge transfer between them. Applications to machine learning have been…

Machine Learning · Computer Science 2023-03-09 Eli Sennesh , Tom Xu , Yoshihiro Maruyama

Inductive and coinductive types are commonly construed as ontological (Church-style) types, denoting canonical data-sets such as natural numbers, lists, and streams. For various purposes, notably the study of programs in the context of…

Logic in Computer Science · Computer Science 2015-07-01 Daniel M Leivant

Dependently typed proof assistant rely crucially on definitional equality, which relates types and terms that are automatically identified in the underlying type theory. This paper extends type theory with definitional functor laws,…

Programming Languages · Computer Science 2024-04-10 Théo Laurent , Meven Lennon-Bertrand , Kenji Maillard

Datatype-generic programming increases program abstraction and reuse by making functions operate uniformly across different types. Many approaches to generic programming have been proposed over the years, most of them for Haskell, but…

Programming Languages · Computer Science 2012-02-15 José Pedro Magalhães , Andres Löh

Inductive datatypes in programming languages allow users to define useful data structures such as natural numbers, lists, trees, and others. In this paper we show how inductive datatypes may be added to the quantum programming language QPL.…

Logic in Computer Science · Computer Science 2021-03-19 Romain Péchoux , Simon Perdrix , Mathys Rennela , Vladimir Zamdzhiev

Clocked Cubical Type Theory is a new type theory combining the power of guarded recursion with univalence and higher inductive types (HITs). This type theory can be used as a metalanguage for synthetic guarded domain theory in which one can…

Logic in Computer Science · Computer Science 2021-12-30 Rasmus Ejlers Møgelberg , Andrea Vezzosi

When using existing ACL2 datatype frameworks, many theorems require type hypotheses. These hypotheses slow down the theorem prover, are tedious to write, and are easy to forget. We describe a principled approach to types that provides…

Logic in Computer Science · Computer Science 2015-09-22 Sol Swords , Jared Davis

Concurrent and parallel programming is difficult due to the presence of memory side-effects, which may introduce data races. Type qualifiers, such as reference capabilities, can remove data races by restricting sharing of mutable data.…

Programming Languages · Computer Science 2019-10-16 Kiko Fernandez-Reyes , Isaac Oscar Gariano , James Noble , Tobias Wrigstad

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

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

The ability to reuse previous policies is an important aspect of human intelligence. To achieve efficient policy reuse, a Deep Reinforcement Learning (DRL) agent needs to decide when to reuse and which source policies to reuse. Previous…

Artificial Intelligence · Computer Science 2022-10-18 Jin Zhang , Siyuan Li , Chongjie Zhang