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This paper introduces semi-ring dictionaries, a powerful class of compositional and purely functional collections that subsume other collection types such as sets, multisets, arrays, vectors, and matrices. We developed SDQL, a statically…

Programming Languages · Computer Science 2022-03-23 Amir Shaikhha , Mathieu Huot , Jaclyn Smith , Dan Olteanu

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

Multiparty sessions with asynchronous communications and global types play an important role for the modelling of interaction protocols in distributed systems. In designing such calculi the aim is to enforce, by typing, good properties for…

Logic in Computer Science · Computer Science 2023-06-22 Francesco Dagnino , Paola Giannini , Mariangiola Dezani-Ciancaglini

Gradually-typed languages feature a dynamic type that supports implicit coercions, greatly weakening the type system but making types easier to adopt. Understanding how developers use this dynamic type is a critical question for the design…

Programming Languages · Computer Science 2025-03-13 Dibri Nsofor , Ben Greenman

It is proposed that the theory of dynamical systems offers appropriate tools to model many phonological aspects of both speech production and perception. A dynamic account of speech rhythm is shown to be useful for description of both…

cmp-lg · Computer Science 2008-02-03 Robert Port , Fred Cummins , Michael Gasser

Logical relations are one of the most powerful techniques in the theory of programming languages, and have been used extensively for proving properties of a variety of higher-order calculi. However, there are properties that cannot be…

Programming Languages · Computer Science 2020-02-21 Gilles Barthe , Raphaëlle Crubillé , Ugo Dal Lago , Francesco Gavazzo

We generalize the notion of identities among relations, well known for presentations of groups, to presentations of n-categories by polygraphs. To each polygraph, we associate a track n-category, generalizing the notion of crossed module…

Category Theory · Mathematics 2011-05-13 Yves Guiraud , Philippe Malbos

This paper deals with the probabilistic behaviours of distributed systems described by a process calculus considering both probabilistic internal choices and nondeterministic external choices. For this calculus we define and study a typing…

Logic in Computer Science · Computer Science 2019-09-05 Bogdan Aman , Gabriel Ciobanu

Dynamic languages such as Python and JavaScript widely use function decorators to extend behavior. In TypeScript, a common way to type such patterns uses Parameters<T> and ReturnType<T>. In practice, this idiom relies on a function-type…

Programming Languages · Computer Science 2026-03-25 Siyuan He , Songlin Jia , Tiark Rompf

We introduce a subclass of linear recurrence sequences which we call poly-rational sequences because they are denoted by rational expressions closed under sum and product. We show that this class is robust by giving several…

Formal Languages and Automata Theory · Computer Science 2019-08-13 Corentin Barloy , Nathanaël Fijalkow , Nathan Lhote , Filip Mazowiecki

We present a calculus for processing semistructured data that spans differences of application area among several novel query languages, broadly categorized as "NoSQL". This calculus lets users define their own operators, capturing a wider…

Programming Languages · Computer Science 2013-03-08 Véronique Benzaken , Giuseppe Castagna , Kim Nguy\~ên , Jérôme Siméon

Typed operational semantics is a method developed by H. Goguen to prove meta-theoretic properties of type systems. This paper studies the metatheory of a type system with dependent record types, using the approach of typed operational…

Logic in Computer Science · Computer Science 2011-03-18 Yangyue Feng , Zhaohui Luo

Developing and maintaining software commonly requires (1) adding new data type constructors to existing applications, but also (2) adding new functions that work on existing data. Most programming languages have native support for defining…

Programming Languages · Computer Science 2023-09-27 Cas van der Rest , Casper Bach Poulsen

Session types are becoming popular and have been integrated in several mainstream programming languages. Nevertheless, while many programming languages consider asynchronous fifo channel communication, the notion of subtyping used in…

Programming Languages · Computer Science 2021-04-30 Lorenzo Bacchiani , Mario Bravetti , Julien Lange , Gianluigi Zavattaro

This work exploits the logical foundation of session types to determine what kind of type discipline for the pi-calculus can exactly capture, and is captured by, lambda-calculus behaviours. Leveraging the proof theoretic content of the…

Logic in Computer Science · Computer Science 2018-01-26 Bernardo Toninho , Nobuko Yoshida

In the dynamic indexing problem, we must maintain a changing collection of text documents so that we can efficiently support insertions, deletions, and pattern matching queries. We are especially interested in developing efficient data…

Data Structures and Algorithms · Computer Science 2015-03-23 J. Ian Munro , Yakov Nekrich , Jeffrey Scott Vitter

System F, the polymorphic lambda calculus, features the principle of impredicativity: polymorphic types may be (explicitly) instantiated at other types, enabling many powerful idioms such as Church encoding and data abstraction.…

Programming Languages · Computer Science 2022-03-04 Henry Mercer , Cameron Ramsay , Neel Krishnaswami

Typestate systems are notoriously complex as they require sophisticated machinery for tracking aliasing. We propose a new, transition-oriented foundation for typestate in the setting of impure functional programming. Our approach relies on…

Programming Languages · Computer Science 2024-09-27 Hannes Saffrich , Yuki Nishida , Peter Thiemann

We consider the embedding problem in coding theory: given an independence (a code-related property) and an independent language $L$, find a maximal independent language containing $L$. We consider the case where the code-related property is…

Formal Languages and Automata Theory · Computer Science 2015-07-03 Stavros Konstantinidis , Mitja Mastnak

The integration of tabular data from diverse sources is often hindered by inconsistencies in formatting and representation, posing significant challenges for data analysts and personal digital assistants. Existing methods for automating…

Databases · Computer Science 2025-08-20 Arash Dargahi Nobari , Davood Rafiei
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