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We present a type system and inference algorithm for a rich subset of JavaScript equipped with objects, structural subtyping, prototype inheritance, and first-class methods. The type system supports abstract and recursive objects, and is…

Programming Languages · Computer Science 2016-10-19 Satish Chandra , Colin S. Gordon , Jean-Baptiste Jeannin , Cole Schlesinger , Manu Sridharan , Frank Tip , Youngil Choi

Extending a given language with new dedicated features is a general and quite used approach to make the programming language more adapted to problems. Being closer to the application, this leads to less programming flaws and easier…

Logic in Computer Science · Computer Science 2010-03-26 Claude Kirchner , Pierre-Etienne Moreau , Cláudia Tavares

Gradually-typed programming languages permit the incremental addition of static types to untyped programs. To remain sound, languages insert run-time checks at the boundaries between typed and untyped code. Unfortunately, performance…

Programming Languages · Computer Science 2020-10-13 Cameron Moy , Phúc C. Nguyen , Sam Tobin-Hochstadt , David Van Horn

Type systems certify program properties in a compositional way. From a bigger program one can abstract out a part and certify the properties of the resulting abstract program by just using the type of the part that was abstracted away.…

Logic in Computer Science · Computer Science 2012-02-17 Andreas Abel

We propose a type-based analysis to infer the session protocols of channels in an ML-like concurrent functional language. Combining and extending well-known techniques, we develop a type-checking system that separates the underlying ML type…

Programming Languages · Computer Science 2016-04-14 Carlo Spaccasassi , Vasileios Koutavas

Path polymorphism is the ability to define functions that can operate uniformly over arbitrary recursively specified data structures. Its essence is captured by patterns of the form $x\,y$ which decompose a compound data structure into its…

Logic in Computer Science · Computer Science 2020-06-30 Andrés Viso , Eduardo Bonelli , Mauricio Ayala-Rincón

We present three projects concerned with applications of proof assistants in the area of programming language theory and mathematics. The first project is about a certified compilation technique for a domain-specific programming language…

Programming Languages · Computer Science 2018-11-29 Danil Annenkov

In this paper, we present type systems for flow-sensitive pointer analysis, live stack-heap (variables) analysis, and program optimization. The type system for live stack-heap analysis is an enrichment of that for pointer analysis; the…

Software Engineering · Computer Science 2011-04-05 Mohamed A. El-Zawawy

In a previous work ("Abstract Data Type Systems", TCS 173(2), 1997), the last two authors presented a combined language made of a (strongly normalizing) algebraic rewrite system and a typed lambda-calculus enriched by pattern-matching…

Logic in Computer Science · Computer Science 2013-09-17 Frédéric Blanqui , Jean-Pierre Jouannaud , Mitsuhiro Okada

Whilst there have been great advances in HPC hardware and software in recent years, the languages and models that we use to program these machines have remained much more static. This is not from a lack of effort, but instead by virtue of…

Programming Languages · Computer Science 2016-10-31 Nick Brown

Graphs are a generalized concept that encompasses more complex data structures than trees, such as difference lists, doubly-linked lists, skip lists, and leaf-linked trees. Normally, these structures are handled with destructive assignments…

Programming Languages · Computer Science 2022-09-13 Jin Sano , Naoki Yamamoto , Kazunori Ueda

Can we use the flow of information to understand type systems? I present two familiar type systems in pursuit of an `Information Aware' style, using information effects to reveal data flow and help in implementing them. I also calculate a…

Programming Languages · Computer Science 2024-12-24 Philippa Cowderoy

An algorithm to decide the emptiness of a regular type expression with set operators given a set of parameterised type definitions is presented. The algorithm can also be used to decide the equivalence of two regular type expressions and…

Logic in Computer Science · Computer Science 2007-05-23 Lunjin Lu , John G. Cleary

Complex systems typically have many different parts and facets, with different characteristics. In a multi-paradigm approach to modeling, formalisms with different natures are used in combination to describe complementary parts and aspects…

Logic in Computer Science · Computer Science 2013-08-14 Marcello M. Bersani , Carlo A. Furia , Matteo Pradella , Matteo Rossi

Type-free systems of logic are designed to consistently handle significant instances of self-reference. Some consistent type-free systems also have the feature of allowing the sort of general abstraction or comprehension principle that…

Logic · Mathematics 2007-05-23 Wayne Aitken , Jeffrey A. Barrett

Coroutine, as a powerful programming construct, is widely used in asynchronous applications to replace thread-based programming or the callback hell. Using coroutines makes code more readable and maintainable, for its ability to transfer…

Programming Languages · Computer Science 2026-02-24 Qiqi Gu , Wei Ke

System I is a simply-typed lambda calculus with pairs, extended with an equational theory obtained from considering the type isomorphisms as equalities. In this work we propose an extension of System I to polymorphic types, adding the…

Logic in Computer Science · Computer Science 2021-07-28 Cristian F. Sottile , Alejandro Díaz-Caro , Pablo E. Martínez López

We find that second order quantification is problematic when a quantified concept variable is supposed to function predicatively. This issue is analyzed and it is shown that a constructive interpretation of the falling under relation…

Logic · Mathematics 2013-12-13 Nik Weaver

In answer set programming, two groups of rules are considered strongly equivalent if they have the same meaning in any context. Strong equivalence of two programs can be sometimes established by deriving rules of each program from rules of…

Logic in Computer Science · Computer Science 2026-01-14 Jorge Fandinno , Vladimir Lifschitz

Computer programs may go wrong due to exceptional behaviors, out-of-bound array accesses, or simply coding errors. Thus, they cannot be blindly trusted. Scientific computing programs make no exception in that respect, and even bring…

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