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With distributed computing and mobile applications becoming ever more prevalent, synchronizing diverging replicas of the same data is a common problem. Reconciliation -- bringing two replicas of the same data structure as close as possible…

Information Theory · Computer Science 2022-08-10 Elod P. Csirmaz , Laszlo Csirmaz

Data reconciliation in general, and filesystem synchronization in particular, lacks rigorous theoretical foundation. This paper presents, for the first time, a complete analysis of synchronization for two replicas of a theoretical…

Information Theory · Computer Science 2022-11-15 Elod P. Csirmaz , Laszlo Csirmaz

Finding a provably correct subquadratic synchronization algorithm for many filesystem replicas is one of the main theoretical problems in Operational Transformation (OT) and Conflict-free Replicated Data Types (CRDT) frameworks. Based on…

Information Theory · Computer Science 2023-05-19 Elod P. Csirmaz , Laszlo Csirmaz

We present a systematic, algebraically based, design methodology for efficient implementation of computer programs optimized over multiple levels of the processor/memory and network hierarchy. Using a common formalism to describe the…

Mathematical Software · Computer Science 2008-03-18 Lenore R. Mullin , James E. Raynolds

We describe a system that simplifies the process of debugging programs produced by computer-aided parallelization tools. The system uses relative debugging techniques to compare serial and parallel executions in order to show where the…

Software Engineering · Computer Science 2007-05-23 Robert Hood , Gabriele Jost

Statistics and Optimization are foundational to modern Machine Learning. Here, we propose an alternative foundation based on Abstract Algebra, with mathematics that facilitates the analysis of learning. In this approach, the goal of the…

Machine Learning · Computer Science 2025-02-28 Fernando Martin-Maroto , Nabil Abderrahaman , David Mendez , Gonzalo G. de Polavieja

This research started with an algebra for reasoning about rely/guarantee concurrency for a shared memory model. The approach taken led to a more abstract algebra of atomic steps, in which atomic steps synchronise (rather than interleave)…

Logic in Computer Science · Computer Science 2022-01-19 Ian J. Hayes , Robert Colvin , Larissa Meinicke , Kirsten Winter , Andrius Velykis

This research started with an algebra for reasoning about rely/guarantee concurrency for a shared memory model. The approach taken led to a more abstract algebra of atomic steps, in which atomic steps synchronise (rather than interleave)…

Logic in Computer Science · Computer Science 2017-10-11 Ian J. Hayes , Larissa A. Meinicke , Kirsten Winter , Robert J. Colvin

Data synchronization is a fundamental problem with applications in diverse fields such as cloud storage, genomics, and distributed systems. This paper addresses the challenge of synchronizing two files, one of which is a subsequence of the…

Information Theory · Computer Science 2025-12-09 Haolun , Ni , Lev Tauz , Ryan Gabrys , Lara Dolecek

Modern distributed systems often rely on so called weakly-consistent databases, which achieve scalability by sacrificing the consistency guarantee of distributed transaction processing. Such databases have been formalised in two different…

Logic in Computer Science · Computer Science 2017-08-02 Andrea Cerone , Alexey Gotsman , Hongseok Yang

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski

In this paper we present a tool for the formal analysis of applications built on top of replicated databases, where data integrity can be at stake. To address this issue, one can introduce synchronization in the system. Introducing…

Programming Languages · Computer Science 2020-10-15 Filipe Meirim , Mário Pereira , Carla Ferreira

Development of energy and performance-efficient embedded software is increasingly relying on application of complex transformations on the critical parts of the source code. Designers applying such nontrivial source code transformations are…

Logic in Computer Science · Computer Science 2011-11-09 K. C. Shashidhar , Maurice Bruynooghe , Francky Catthoor , Gerda Janssens

In this paper we consider two points of views to the problem of coherent integration of distributed data. First we give a pure model-theoretic analysis of the possible ways to `repair' a database. We do so by characterizing the…

Logic in Computer Science · Computer Science 2007-05-23 Ofer Arieli , Marc Denecker , Bert Van Nuffelen , Maurice Bruynooghe

We initiate the theoretical study of directory reconciliation, a generalization of document exchange, in which Alice and Bob each have different versions of a set of documents that they wish to synchronize. This problem is designed to…

Data Structures and Algorithms · Computer Science 2018-07-26 Michael Mitzenmacher , Tom Morgan

Motivated by large-scale optimization problems arising in the context of machine learning, there have been several advances in the study of asynchronous parallel and distributed optimization methods during the past decade. Asynchronous…

Machine Learning · Computer Science 2020-06-25 Mahmoud Assran , Arda Aytekin , Hamid Feyzmahdavian , Mikael Johansson , Michael Rabbat

Efficient consistency maintenance of incomplete and dynamic real-life databases is a quality label for further data analysis. In prior work, we tackled the generic problem of database updating in the presence of tuple generating constraints…

Databases · Computer Science 2024-05-16 Jacques Chabin , Mirian Halfeld Ferrari , Nicolas Hiot , Dominique Laurent

Emerging workloads, such as graph processing and machine learning are approximate because of the scale of data involved and the stochastic nature of the underlying algorithms. These algorithms are often distributed over multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-28 Asim Kadav , Erik Kruus

Autonomous systems require the management of several model views to assure properties such as safety and security among others. A crucial issue in autonomous systems design assurance is the notion of emergent behavior; we cannot use their…

Logic in Computer Science · Computer Science 2022-03-31 Georgios Bakirtzis , Ufuk Topcu

In collaborative software development, program merging is the mechanism to integrate changes from multiple programmers. Merge algorithms in modern version control systems report a conflict when changes interfere textually. Merge conflicts…

Software Engineering · Computer Science 2021-09-08 Elizabeth Dinella , Todd Mytkowicz , Alexey Svyatkovskiy , Christian Bird , Mayur Naik , Shuvendu K. Lahiri
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