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We introduce skipping refinement, a new notion of correctness for reasoning about optimized reactive systems. Reasoning about reactive systems using refinement involves defining an abstract, high-level specification system and a concrete,…

Logic in Computer Science · Computer Science 2015-02-11 Mitesh Jain , Panagiotis Manolios

Linearizability is a commonly accepted notion of correctness for libraries of concurrent algorithms, and recent years have seen a number of proposals of program logics for proving it. Although these logics differ in technical details, they…

Programming Languages · Computer Science 2016-09-06 Artem Khyzha , Alexey Gotsman , Matthew Parkinson

Deductive verification of concurrent programs under weak memory has thus far been limited to simple programs over a monolithic state space. For scalability, we also require modular techniques with verifiable library abstractions. This paper…

Logic in Computer Science · Computer Science 2021-08-21 Sadegh Dalvandi , Brijesh Dongol

Linearizability has become the key correctness criterion for concurrent data structures, ensuring that histories of the concurrent object under consideration are consistent, where consistency is judged with respect to a sequential history…

Logic in Computer Science · Computer Science 2015-02-03 Brijesh Dongol , John Derrick

Modern processors deploy a variety of weak memory models, which for efficiency reasons may execute instructions in an order different to that specified by the program text. The consequences of instruction reordering can be complex and…

Logic in Computer Science · Computer Science 2018-12-05 Robert J. Colvin , Graeme Smith

We present a general framework for specifying and verifying persistent libraries, that is, libraries of data structures that provide some persistency guarantees upon a failure of the machine they are executing on. Our framework enables…

Programming Languages · Computer Science 2023-06-05 Léo Stefanesco , Azalea Raad , Viktor Vafeiadis

Robustness of neural networks has recently attracted a great amount of interest. The many investigations in this area lack a precise common foundation of robustness concepts. Therefore, in this paper, we propose a rigorous and flexible…

Machine Learning · Computer Science 2021-06-01 Alessandro Tibo , Manfred Jaeger , Kim G. Larsen

Linearisability has become the standard correctness criterion for concurrent data structures, ensuring that every history of invocations and responses of concurrent operations has a matching sequential history. Existing proofs of…

Logic in Computer Science · Computer Science 2013-07-29 Brijesh Dongol , John Derrick

Linearizability is the gold standard among algorithm designers for deducing the correctness of a distributed algorithm using implemented shared objects from the correctness of the corresponding algorithm using atomic versions of the same…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-21 Wojciech Golab , Lisa Higham , Philipp Woelfel

Memory consistency models are notorious for being difficult to define precisely, to reason about, and to verify. More than a decade of effort has gone into nailing down the definitions of the ARM and IBM Power memory models, and yet there…

Programming Languages · Computer Science 2019-04-11 Sizhuo Zhang , Muralidaran Vijayaraghavan , Dan Lustig , Arvind

Modern processors deploy a variety of weak memory models, which for efficiency reasons may (appear to) execute instructions in an order different to that specified by the program text. The consequences of instruction reordering can be…

Programming Languages · Computer Science 2018-12-04 Robert J. Colvin , Graeme Smith

Efficient implementations of atomic objects such as concurrent stacks and queues are especially susceptible to programming errors, and necessitate automatic verification. Unfortunately their correctness criteria - linearizability with…

Logic in Computer Science · Computer Science 2015-05-26 Ahmed Bouajjani , Michael Emmi , Constantin Enea , Jad Hamza

Formal verification is only as good as the specification of a system, which is also true for neural network verification. Existing specifications follow the paradigm of data as specification, where the local neighborhood around a reference…

Machine Learning · Computer Science 2025-03-17 Chuqin Geng , Zhaoyue Wang , Haolin Ye , Xujie Si

We study the linearizability monitoring problem, which asks whether a given concurrent history of a data structure is equivalent to some sequential execution of the same data structure. In general, this problem is $\textsf{NP}$-hard, even…

Programming Languages · Computer Science 2026-05-26 Lee Zheng Han , Umang Mathur

Linearizability has been the long standing gold standard for consistency in concurrent data structures. However, proofs of linearizability can be long and intricate, hard to produce, and extremely time consuming even to verify. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-14 Prasad Jayanti , Siddhartha Jayanti , Ugur Y. Yavuz , Lizzie Hernandez

Users of program analyses expect that results change predictably in response to changes in their programs, but many analyses fail to provide such robustness. This paper introduces a theoretical framework that provides a unified language to…

Programming Languages · Computer Science 2026-04-14 Zachary Kincaid , Shaowei Zhu

Proving the linearizability of highly concurrent data structures, such as those using optimistic concurrency control, is a challenging task. The main difficulty is in reasoning about the view of the memory obtained by the threads, because…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-07 Yotam M. Y. Feldman , Constantin Enea , Adam Morrison , Noam Rinetzky , Sharon Shoham

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

Linearizability is a standard correctness criterion for concurrent algorithms, typically proved by establishing the algorithms' linearization points. However, relying on linearization points leads to proofs that are…

Logic in Computer Science · Computer Science 2023-07-11 Jesús Domínguez , Aleksandar Nanevski

Tasks and objects are two predominant ways of specifying distributed problems. A task is specified by an input/output relation, defining for each set of processes that may run concurrently, and each assignment of inputs to the processes in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-02 Armando Castaneda , Michel Raynal , Sergio Rajsbaum