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Linearizability is the de facto consistency condition for concurrent objects, widely used in theory and practice. Loosely speaking, linearizability classifies concurrent executions as correct if operations on shared objects appear to take…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-30 Gal Sela , Maurice Herlihy , Erez Petrank

Linearisability has become the standard safety criterion for concurrent data structures ensuring that the effect of a concrete operation takes place after the execution some atomic statement (often referred to as the linearisation point).…

Logic in Computer Science · Computer Science 2012-12-21 Brijesh Dongol , John Derrick

There is an increasing body of literature proposing new and efficient persistent versions of concurrent data structures ensuring that a consistent state can be recovered after a power failure or a crash. Their correctness is typically…

Programming Languages · Computer Science 2022-11-15 Emanuele D'Osualdo , Azalea Raad , Viktor Vafeiadis

Implementing a concurrent data structure typically begins with defining its sequential specification. However, when used \emph{as is}, a nontrivial sequential data structure, such as a linked list, a search tree, or a hash table, may expose…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-07 Vincent Gramoli , Petr Kuznetsov , Srivatsan Ravi

Graph algorithms applied in many applications, including social networks, communication networks, VLSI design, graphics, and several others, require dynamic modifications -- addition and removal of vertices and/or edges -- in the graph.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-16 Bapi Chatterjee , Sathya Peri , Muktikanta Sa , Nandini Singhal

We present algorithms for checking and enforcing robustness of concurrent programs against the Total Store Ordering (TSO) memory model. A program is robust if all its TSO computations correspond to computations under the Sequential…

Programming Languages · Computer Science 2012-10-30 Ahmed Bouajjani , Egor Derevenetc , Roland Meyer

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

Trace theory is a principled framework for defining equivalence relations for concurrent program runs based on a commutativity relation over the set of atomic steps taken by individual program threads. Its simplicity, elegance, and…

Formal Languages and Automata Theory · Computer Science 2023-10-27 Azadeh Farzan , Umang Mathur

Current large language models reason in isolation. Although it is common to sample multiple reasoning paths in parallel, these trajectories do not interact, and often fail in the same redundant ways. We introduce LACE, a framework that…

Artificial Intelligence · Computer Science 2026-05-12 Yang Li , Zirui Zhang , Yang Liu , Chengzhi Mao

To implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time linear to the uncertainty in the latency of the network for both read and write operations. Waiting only for one of them…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-28 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard

In this paper, we have developed two algorithms for maintaining acyclicity in a concurrent directed graph. The first algorithm is based on a wait-free reachability query and the second one is based on partial snapshot-based obstruction-free…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-14 Sathya Peri , Muktikanta Sa , Nandini Singhal

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

Verification of concurrent data structures is one of the most challenging tasks in software verification. The topic has received considerable attention over the course of the last decade. Nevertheless, human-driven techniques remain…

Programming Languages · Computer Science 2018-11-12 Roland Meyer , Sebastian Wolff

Linearizability is a widely accepted notion of correctness for concurrent objects. Recent research has investigated redefining linearizability for particular hardware weak memory models, in particular for TSO. In this paper, we provide an…

Logic in Computer Science · Computer Science 2019-07-03 Graeme Smith , Kirsten Winter , Robert J. Colvin

The pairwise reachability problem for a multi-threaded program asks, given control locations in two threads, whether they can be simultaneously reached in an execution of the program. The problem is important for static analysis and is used…

Logic in Computer Science · Computer Science 2015-07-01 Remi Bonnet , Rohit Chadha , Mahesh Viswanathan , P. Madhusudan

Verifying fine-grained optimistic concurrent programs remains an open problem. Modern program logics provide abstraction mechanisms and compositional reasoning principles to deal with the inherent complexity. However, their use is mostly…

Programming Languages · Computer Science 2022-11-14 Roland Meyer , Thomas Wies , Sebastian Wolff

Shared-memory concurrency is difficult to reason about because each thread executes under interference from other threads. At the same time, many correctness arguments for classic algorithms are epistemic: a thread enters a critical region…

Logic in Computer Science · Computer Science 2026-01-26 Hamed Nemati , Mads Dam

Linearizability is the gold standard of correctness conditions for shared memory algorithms, and historically has been considered the practical equivalent of atomicity. However, it has been shown [1] that replacing atomic objects with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Sean Ovens , Philipp Woelfel

In this paper, we present an on-line fully dynamic algorithm for maintaining strongly connected component of a directed graph in a shared memory architecture. The edges and vertices are added or deleted concurrently by fixed number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-11 Muktikanta Sa

Linearizability is a well-known correctness property for concurrent and distributed systems. In the past, it was also used to prove the design and implementation of replicated state-machines correct. State-machine replication (SMR) is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Franz J. Hauck , Alexander Heß