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Linearizability and progress properties are key correctness notions for concurrent objects. However, model checking linearizability has suffered from the PSPACE-hardness of the trace inclusion problem. This paper proposes to exploit…

Programming Languages · Computer Science 2016-10-03 Xiaoxiao Yang , Joost-Pieter Katoen , Huimin Lin , Hao Wu

This article shows a correspondence between abstract interpretation of imperative programs and the refinement calculus: in the refinement calculus, an abstract interpretation of a program is a specification which is a function. This…

Programming Languages · Computer Science 2014-06-16 Arnaud Spiwack

In this paper, we systematically investigate the connection between linearizable objects and forward simulation. We prove that the sets of linearizable objects satisfying wait-freedom (resp., lock-freedom or obstruction-freedom) form a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Chao Wang , Ruijia Li , Yang Zhou , Peng Wu , Yi Lv , Jianwei Liao , Jim Woodcock , Zhiming Liu

A powerful tool for designing complex concurrent programs is through composition with object implementations from lower-level primitives. Strongly-linearizable implementations allow to preserve hyper-properties, e.g., probabilistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-22 Hagit Attiya , Armando Castañeda , Constantin Enea

In this article, we focus on extending the notion of lattice linearity to self-stabilizing programs. Lattice linearity allows a node to execute its actions with old information about the state of other nodes and still preserve correctness.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-19 Arya Tanmay Gupta , Sandeep S Kulkarni

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We formalize Byzantine linearizability, a correctness condition that specifies whether a concurrent object with a sequential specification is resilient against Byzantine failures. Using this definition, we systematically study…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Shir Cohen , Idit Keidar

The notion of developing statistical methods in machine learning which are robust to adversarial perturbations in the underlying data has been the subject of increasing interest in recent years. A common feature of this work is that the…

Statistics Theory · Mathematics 2017-02-28 Dimitris Bertsimas , Martin S. Copenhaver

Linear real-valued computations over distributed datasets are common in many applications, most notably as part of machine learning inference. In particular, linear computations that are quantized, i.e., where the coefficients are…

Information Theory · Computer Science 2023-11-27 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

We propose an abstraction-based model checking method which relies on refinement of an under-approximation of the feasible behaviors of the system under analysis. The method preserves errors to safety properties, since all analyzed…

Computer Science and Game Theory · Computer Science 2017-01-11 Corina S. Pasareanu , Radek Pelanek , Willem Visser

Distributed storage systems and databases are widely used by various types of applications. Transactional access to these storage systems is an important abstraction allowing application programmers to consider blocks of actions (i.e.,…

Programming Languages · Computer Science 2023-06-22 Sidi Mohamed Beillahi , Ahmed Bouajjani , Constantin Enea

Local reasoning about programs that combine aliasing and mutable state is a longstanding challenge. Existing approaches -- ownership systems, linear and affine types, uniqueness types, and lexical effect tracking -- impose global…

Programming Languages · Computer Science 2025-09-01 Haotian Deng , Siyuan He , Songlin Jia , Yuyan Bao , Tiark Rompf

Concurrent objects form the foundation of many applications that exploit multicore architectures and their importance has lead to informal correctness arguments, as well as formal proof systems. Correctness arguments (as found in the…

Programming Languages · Computer Science 2024-10-18 Constantin Enea , Eric Koskinen

Statistical linearization has recently seen a particular surge of interest as a numerically cheap method for robust control of stochastic differential equations. Although it has already been successfully applied to control complex…

Optimization and Control · Mathematics 2023-07-06 Riccardo Bonalli , Clara Leparoux , Bruno Hérissé , Frédéric Jean

The equivalence of realizable and agnostic learnability is a fundamental phenomenon in learning theory. With variants ranging from classical settings like PAC learning and regression to recent trends such as adversarially robust learning,…

Machine Learning · Computer Science 2024-08-07 Max Hopkins , Daniel M. Kane , Shachar Lovett , Gaurav Mahajan

The well known snapshot primitive in concurrent programming allows for n-asynchronous processes to write values to an array of single-writer registers and, for each process, to take a snapshot of these registers. In this paper we provide a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-11 Gal Amram , Lior Mizrahi , Gera Weiss

In the shared variable model of concurrency, guarded atomic actions restrict the possible interference between processes by regions of atomic execution. The guard specifies the condition for entering an atomic region. That is a convenient…

Programming Languages · Computer Science 2025-05-28 Shucai Yao , Emil Sekerinski

Proving linearizability of concurrent data structures is crucial for ensuring their correctness, but is challenging especially for implementations that employ sophisticated synchronization techniques. In this paper, we propose a new proof…

Software Engineering · Computer Science 2025-09-16 Tangliu Wen

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a…

Optimization and Control · Mathematics 2015-12-29 Rabah Rabah , Grigory Sklyar

Atomicity is a fundamental abstraction in concurrency, specifying that program behavior can be understood by considering specific code blocks executing atomically. However, atomicity invariants are tricky to maintain while also optimizing…

Programming Languages · Computer Science 2026-04-14 Hünkar Can Tun , Yifan Dong , Andreas Pavlogiannis