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Transactional memory is a mechanism that manages thread synchronisation on behalf of a programmer so that blocks of code execute with an illusion of atomicity. The main safety criterion for transactional memory is opacity, which defines…

Logic in Computer Science · Computer Science 2016-10-05 Alasdair Armstrong , Brijesh Dongol , Simon Doherty

Designing scalable concurrent objects, which can be efficiently used on multicore processors, often requires one to abandon standard specification techniques, such as linearizability, in favor of more relaxed consistency requirements.…

Logic in Computer Science · Computer Science 2016-07-22 Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee , German Andres Delbianco

Considering asynchronous shared memory systems in which any number of processes may crash, this work identifies and formally defines relaxations of queues and stacks that can be non-blocking or wait-free while being implemented using only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-05 Armando Castañeda , Sergio Rajsbaum , Michel Raynal

This paper revisits the fundamental problem of monitoring the linearizability of concurrent stacks, queues, sets, and multisets. Given a history of a library implementing one of these abstract data types, the monitoring problem is to answer…

Programming Languages · Computer Science 2025-09-23 Parosh Aziz Abdulla , Samuel Grahn , Bengt Jonsson , Shankaranarayanan Krishna , Om Swostik Mishra

Linearizability of concurrent data structures is usually proved by monolithic simulation arguments relying on the identification of the so-called linearization points. Regrettably, such proofs, whether manual or automatic, are often…

Logic in Computer Science · Computer Science 2015-07-01 Soham Chakraborty , Thomas A. Henzinger , Ali Sezgin , Viktor Vafeiadis

Monitorability delineates what properties can be verified at runtime. Although many monitorability definitions exist, few are defined explicitly in terms of the guarantees provided by monitors, i.e., the computational entities carrying out…

Logic in Computer Science · Computer Science 2019-06-04 Luca Aceto , Antonis Achilleos , Adrian Francalanza , Anna Ingólfsdóttir , Karoliina Lehtinen

Linearization is the procedure of rewriting a process term into a linear form, which consist only of basic operators of the process language. This procedure is interesting both from a theoretical and a practical point of view. In…

Logic in Computer Science · Computer Science 2011-08-24 Damian Nadales Agut , Michel Reniers

In the past decade, many techniques have been developed to prove linearizability, the gold standard of correctness for concurrent data structures. Intuitively, linearizability requires that every operation on a concurrent data structure…

Programming Languages · Computer Science 2025-09-09 Zachary Kent , Ugur Y. Yavuz , Siddhartha Jayanti , Stephanie Balzer , Guy Blelloch

A linear parameter must be consumed exactly once in the body of its function. When declaring resources such as file handles and manually managed memory as linear arguments, a linear type system can verify that these resources are used…

Programming Languages · Computer Science 2022-07-25 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard Eisenberg

We address the problem of statically checking safety properties (such as assertions or deadlocks) for parameterized phaser programs. Phasers embody a non-trivial and modern synchronization construct used to orchestrate executions of…

Programming Languages · Computer Science 2021-05-13 Zeinab Ganjei , Ahmed Rezine , Ludovic Henrio , Petru Eles , Zebo Peng

Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of…

Optimization and Control · Mathematics 2011-02-21 Hongwei Lou

In large scale systems such as the Internet, replicating data is an essential feature in order to provide availability and fault-tolerance. Attiya and Welch proved that using strong consistency criteria such as atomicity is costly as each…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-12 Matthieu Perrin , Achour Mostefaoui , Claude Jard

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

Strictly serializable (linearizable) services appear to execute transactions (operations) sequentially, in an order consistent with real time. This restricts a transaction's (operation's) possible return values and in turn, simplifies…

Databases · Computer Science 2021-10-20 Jeffrey Helt , Matthew Burke , Amit Levy , Wyatt Lloyd

In this article, we study some parallel processing algorithms for multiplication and modulo operations. We demonstrate that the state transitions that are formed under these algorithms satisfy lattice-linearity, where these algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-16 Arya Tanmay Gupta , Sandeep S Kulkarni

Linear constraints are the linear counterpart of Haskell's class constraints. Linearly typed parameters allow the programmer to control resources such as file handles and manually managed memory as linear arguments. Indeed, a linear type…

Programming Languages · Computer Science 2026-04-24 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard A. Eisenberg

Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called lineable whenever A contains, except for zero, an infinite dimensional vector subspace. If, additionally, X is endowed with richer…

Functional Analysis · Mathematics 2013-09-17 Luis Bernal-González , Manuel Ordóñez-Cabrera

Data replication is essential to ensure reliability, availability and fault-tolerance of massive distributed applications over large scale systems such as the Internet. However, these systems are prone to partitioning, which by Brewer's CAP…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-12 Matthieu Perrin , Achour Mostéfaoui , Claude Jard

Runtime verification is checking whether a system execution satisfies or violates a given correctness property. A procedure that automatically, and typically on the fly, verifies conformance of the system's behavior to the specified…

Software Engineering · Computer Science 2013-03-06 Mikhail Chupilko , Alexander Kamkin

This paper proposes a general framework for adding linearizable iterators to a class of data structures that implement set operations. We introduce a condition on set operations, called local consistency, which informally states that set…

Data Structures and Algorithms · Computer Science 2018-03-02 Archita Agarwal , Zhiyu Liu , Eli Rosenthal , Vikram Saraph