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We introduce OpSets, an executable framework for specifying and reasoning about the semantics of replicated datatypes that provide eventual consistency in a distributed system, and for mechanically verifying algorithms that implement these…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Martin Kleppmann , Victor B. F. Gomes , Dominic P. Mulligan , Alastair R. Beresford

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

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

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

Python's dynamic type system, while offering significant flexibility and expressiveness, poses substantial challenges for static analysis and automated tooling, particularly in unannotated or partially annotated codebases. Existing type…

Software Engineering · Computer Science 2026-04-08 Ali Aman , Muhammad Asaduzzaman , Shaowei Wang

Static resource management in languages remains challenging due to tensions among control, expressiveness, and flexibility. Region-based systems [Grossman et al . 2002; Tofte et al. 2001] offer bulk deallocation via lexically scoped…

Programming Languages · Computer Science 2026-03-31 Siyuan He , Songlin Jia , Yuyan Bao , Tiark Rompf

Scala's type system unifies ML modules, object-oriented, and functional programming. The Dependent Object Types (DOT) family of calculi has been proposed as a new foundation for Scala and similar languages. Unfortunately, it is not clear…

Programming Languages · Computer Science 2016-02-08 Tiark Rompf , Nada Amin

Session types, types for structuring communication between endpoints in distributed systems, are recently being integrated into mainstream programming languages. In practice, a very important notion for dealing with such types is that of…

Programming Languages · Computer Science 2023-06-22 Mario Bravetti , Marco Carbone , Julien Lange , Nobuko Yoshida , Gianluigi Zavattaro

We show that verification of object-oriented programs by means of the assertional method can be achieved in a simple way by exploiting a syntax-directed transformation from object-oriented programs to recursive programs. This transformation…

Logic in Computer Science · Computer Science 2011-11-09 Krzysztof R. Apt , Frank S. de Boer , Ernst-Ruediger Olderog , Stijn de Gouw

We present a type system for strategy languages that express program transformations as compositions of rewrite rules. Our row-polymorphic type system assists compiler engineers to write correct strategies by statically rejecting non…

Programming Languages · Computer Science 2021-03-26 Rongxiao Fu , Xueying Qin , Ornela Dardha , Michel Steuwer

We present a new type system combining occurrence typing, previously used to type check programs in dynamically-typed languages such as Racket, JavaScript, and Ruby, with dependent refinement types. We demonstrate that the addition of…

Programming Languages · Computer Science 2016-10-05 Andrew M. Kent , David Kempe , Sam Tobin-Hochstadt

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

Sized types are a modular and theoretically well-understood tool for checking termination of recursive and productivity of corecursive definitions. The essential idea is to track structural descent and guardedness in the type system to make…

Programming Languages · Computer Science 2010-12-23 Andreas Abel

We propose an extension of pure type systems with an algebraic presentation of inductive and co-inductive type families with proper indices. This type theory supports coercions toward from smaller sorts to bigger sorts via explicit type…

Logic in Computer Science · Computer Science 2014-06-16 Hugo Herbelin , Arnaud Spiwack

State machine formalisms equipped with hierarchy and parallelism allow to compactly model complex system behaviours. Such models can then be transformed into executable code or inputs for model-based testing and verification techniques.…

Software Engineering · Computer Science 2017-10-24 Xavier Devroey , Gilles Perrouin , Maxime Cordy , Axel Legay , Pierre-Yves Schobbens , Patrick Heymans

In this paper we describe how to leverage higher-order unification to type check a dependently typed language with meta-variables. The literature usually presents the unification algorithm as a standalone component, however the need to…

Programming Languages · Computer Science 2016-10-03 Francesco Mazzoli , Andreas Abel

This paper explores the task of leveraging typology in the context of cross-lingual dependency parsing. While this linguistic information has shown great promise in pre-neural parsing, results for neural architectures have been mixed. The…

Computation and Language · Computer Science 2019-09-23 Adam Fisch , Jiang Guo , Regina Barzilay

We present a type system capable of guaranteeing the memory safety of programs that may involve (sophisticated) pointer manipulation such as pointer arithmetic. With its root in a recently developed framework Applied Type System (ATS), the…

Programming Languages · Computer Science 2018-10-30 Hongwei Xi , Dengping Zhu

Typed feature structures are used extensively for the specification of linguistic information in many formalisms. The subsumption relation orders TFSs by their information content. We prove that subsumption of acyclic TFSs is well-founded,…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez

When writing programs involving matrices or tensors in general, it is desirable to rule out the inconsistency of tensor shapes (i.e., the generalization of matrix sizes) before actual computation. For this purpose, some languages provide…

Programming Languages · Computer Science 2026-04-28 Takashi Suwa , Atsushi Igarashi
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