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Classical circuit complexity characterizes parallel computation in purely combinatorial terms, ignoring the physical constraints that govern real hardware. The standard classes $\mathbf{NC}$, $\mathbf{AC}$, and $\mathbf{TC}$ treat unlimited…

Computational Complexity · Computer Science 2025-11-11 Benjamin Prada , Ankur Mali

We investigate the satisfiability and finite satisfiability problem for probabilistic computation-tree logic (PCTL) where operators are not restricted by any step bounds. We establish decidability for several fragments containing…

Logic in Computer Science · Computer Science 2018-07-02 Jan Křetínský , Alexej Rotar

In this letter, we introduce the computational-limited (comp-limited) signals, a communication capacity regime in which the signal time computational complexity overhead is the key constraint -- rather than power or bandwidth -- to the…

Information Theory · Computer Science 2024-10-28 Saulo Queiroz , João P. Vilela , Edmundo Monteiro

We consider a recently proposed \emph{supervised distributed computing} paradigm \cite{augustine2025supervised} that extends and refines the standard master-worker paradigm for parallel computations. In this paradigm, there is a supervisor,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 John Augustine , Henning Hillebrandt , Manish Kumar , Christian Scheideler , Julian Werthmann

The question of what can be computed, and how efficiently, are at the core of computer science. Not surprisingly, in distributed systems and networking research, an equally fundamental question is what can be computed in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-01 Fabian Kuhn , Thomas Moscibroda , Roger Wattenhofer

We address the problem of distributed computation of arbitrary functions of two correlated sources $X_1$ and $X_2$, residing in two distributed source nodes, respectively. We exploit the structure of a computation task by coding source…

Information Theory · Computer Science 2025-04-23 Mohammad Reza Deylam Salehi , Derya Malak

We consider a system of processor-sharing queues with state-dependent service rates. These are allocated according to balanced fairness within a polymatroid capacity set. Balanced fairness is known to be both insensitive and…

Performance · Computer Science 2019-10-25 Thomas Bonald , Céline Comte , Virag Shah , Gustavo de Veciana

In this paper we propose and prove that cyclic quorum sets can efficiently manage all-pairs computations and data replication. The quorums are O(N/sqrt(P)) in size, up to 50% smaller than the dual N/sqrt(P) array implementations, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-19 Cory J. Kleinheksel , Arun K. Somani

This work studies a well-known shared-cache coded caching scenario where each cache can serve an arbitrary number of users, analyzing the case where there is some knowledge about such number of users (i.e., the topology) during the content…

Information Theory · Computer Science 2023-02-21 Emanuele Parrinello , Antonio Bazco-Nogueras , Petros Elia

Unlimited asynchronism is intolerable in real physically distributed computer systems. Such systems, synchronous or not, use clocks and timeouts. Therefore the magnitudes of elapsed absolute time in the system need to satisfy the axiom of…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-04 Paul M. B. Vitanyi

We study the problem of counting the number of nodes in a slotted-time communication network, under the challenging assumption that nodes do not have identifiers and the network topology changes frequently. That is, for each time slot links…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-08 Alessia Milani , Miguel A. Mosteiro

Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

Neurons and Cognition · Quantitative Biology 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

Performance modeling of parallel applications on multicore computers remains a challenge in computational co-design due to the complex design of multicore processors including private and shared memory hierarchies. We present a Scalable…

Distributed computing frameworks such as MapReduce are often used to process large computational jobs. They operate by partitioning each job into smaller tasks executed on different servers. The servers also need to exchange intermediate…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-20 Konstantinos Konstantinidis , Aditya Ramamoorthy

We introduce a new framework for distributed computing that extends and refines the standard master-worker approach of scheduling multi-threaded computations. In this framework, there are different roles: a supervisor, a source, a target,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-11 John Augustine , Christian Scheideler , Julian Werthmann

Entry in: Encyclopedia of Algorithms, Ming-Yang Kao, Ed., Springer, To appear. Synonyms: Wait-free registers, wait-free shared variables, asynchronous communication hardware. Problem Definition: Consider a system of asynchronous processes…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Paul M. B. Vitanyi

Weak-memory models are standard formal specifications of concurrency across hardware, programming languages, and distributed systems. A fundamental computational problem is consistency testing: is the observed execution of a concurrent…

Programming Languages · Computer Science 2023-11-16 Soham Chakraborty , Shankaranarayanan Krishna , Umang Mathur , Andreas Pavlogiannis

Population protocols have been introduced as a model of sensor networks consisting of very limited mobile agents with no control over their own movement. A population protocol corresponds to a collection of anonymous agents, modeled by…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-07-20 Olivier Bournez , Philippe Chassaing , Johanne Cohen , Lucas Gerin , Xavier Koegler

We introduce the notion of universal memcomputing machines (UMMs): a class of brain-inspired general-purpose computing machines based on systems with memory, whereby processing and storing of information occur on the same physical location.…

Neural and Evolutionary Computing · Computer Science 2015-12-17 Fabio L. Traversa , Massimiliano Di Ventra

In this work we study the computational power of graph-based models of distributed computing in which each node additionally has access to a global whiteboard. A node can read the contents of the whiteboard and, when activated, can write…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Florent Becker , Adrian Kosowski , Nicolas Nisse , Ivan Rapaport , Karol Suchan