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A central question in verification is characterizing when a system has invariants of a certain form, and then synthesizing them. We say a system has a $k$ linear invariant, $k$-LI in short, if it has a conjunction of $k$ linear (non-strict)…

Dynamical Systems · Mathematics 2021-07-21 Ashish Tiwari

ably successful in building a large market and adapting to the changes of the last three decades, its impact on the broader market of information management is surprisingly limited. If we were to design an information management system from…

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

Systems are typically made from simple components regardless of their complexity. While the function of each part is easily understood, higher order functions are emergent properties and are notoriously difficult to explain. In networked…

Artificial Intelligence · Computer Science 2018-01-18 Jory Schossau , Larissa Albantakis , Arend Hintze

One of the main factors driving object-oriented software development in the Web- age is the need for systems to evolve as user requirements change. A crucial factor in the creation of adaptable systems dealing with changing requirements is…

Instrumentation and Detectors · Physics 2009-09-25 Florida Estrella , Richard McClatchey , Norbert Toth , Zsolt Kovacs , Jean-Marie Le Goff

Invariant representations are core to representation learning, yet a central challenge remains: uncovering invariants that are stable and transferable without suppressing task-relevant signals. This raises fundamental questions, requiring…

Machine Learning · Computer Science 2025-09-29 Arun Kumar , Paul Schrater

A key quality of any kind of system is its ability to deliver its respective service correctly. Often the unavailability of commercial systems may lead to lost revenue, which are minor compared to what may be at stake when critical…

Networking and Internet Architecture · Computer Science 2023-08-31 Armin Stocker , Hermann de Meer

Programming languages serve a dual purpose: to communicate programs to computers, and to communicate programs to humans. Indeed, it is this dual purpose that makes programming language design a constrained and challenging problem.…

Programming Languages · Computer Science 2016-01-12 Andrew P. Black , Kim B. Bruce , James Noble

Computing is a high-level process of a physical system. Recent interest in non-standard computing systems, including quantum and biological computers, has brought this physical basis of computing to the forefront. There has been, however,…

Emerging Technologies · Computer Science 2023-04-21 Dominic Horsman , Susan Stepney , Rob C. Wagner , Viv Kendon

Guaranteeing the validity of concurrent operations on distributed objects is a key property for ensuring reliability and consistency in distributed systems. Usually, the methods for validating these operations, if present, are wired in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-27 Antonio Fernández Anta , Chryssis Georgiou , Nicolas Nicolaou , Antonio Russo

One unusual property of dynamic systems, whose state is characterized by a set of scalar dynamic variables satisfying a system of differential equations of a general form, is considered. This property is related to the behavior of equations…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Sergey S. Kokarev

Accountability is widely understood as a goal for well governed computer systems, and is a sought-after value in many governance contexts. But how can it be achieved? Recent work on standards for governable artificial intelligence systems…

Computers and Society · Computer Science 2021-08-23 Joshua A. Kroll

A {\it dynamic reasoning system} (DRS) is an adaptation of a conventional formal logical system that explicitly portrays reasoning as a temporal activity, with each extralogical input to the system and each inference rule application being…

Artificial Intelligence · Computer Science 2013-08-27 Daniel G. Schwartz

We study a proof methodology for verifying the safety of data invariants of highly-available distributed applications that replicate state. The proof is (1) modular: one can reason about each individual operation separately, and (2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-08 Sreeja Nair , Gustavo Petri , Marc Shapiro

Storage systems based on Weak Consistency provide better availability and lower latency than systems that use Strong Consistency, especially in geo-replicated settings. However, under Weak Consistency, it is harder to ensure the correctness…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-27 Valter Balegas , Nuno Preguiça , Sérgio Duarte , Carla Ferreira , Rodrigo Rodrigues

A large class of physical systems involves the vanishing of a 1-form on a manifold as a constraint on the acceptable states. This means that one is always dealing with the Pfaff problem in those cases. In particular, knowing the degree of…

Mathematical Physics · Physics 2017-03-17 David Delphenich

Persistence is an important characteristic of many complex systems in nature, related to how long the system remains at a certain state before changing to a different one. The study of complex systems' persistence involves different…

Dynamical Systems · Mathematics 2022-05-05 S. Salcedo-Sanz , D. Casillas-Pérez , J. Del Ser , C. Casanova-Mateo , L. Cuadra , M. Piles , G. Camps-Valls

Causality serves as an abstract notion of time for concurrent systems. A computation is causal, or simply valid, if each observation of a computation event is preceded by the observation of its causes. The present work establishes that this…

Logic in Computer Science · Computer Science 2026-03-03 Clément Aubert , Jean Krivine

We demonstrate that any physical object, as long as its volume is conserved when coupled with suitable operations, provides a sophisticated decision-making capability. We consider the problem of finding, as accurately and quickly as…

Artificial Intelligence · Computer Science 2015-09-02 Song-Ju Kim , Masashi Aono , Etsushi Nameda

Steady state fluctuation relations for dynamical systems are commonly derived under the assumption of some form of time-reversibility and of chaos. There are, however, cases in which they are observed to hold even if the usual notion of…

Mathematical Physics · Physics 2015-05-27 Matteo Colangeli , Rainer Klages , Paolo De Gregorio , Lamberto Rondoni