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Regular transition systems (RTS) are a popular formalism for modeling infinite-state systems in general, and parameterised systems in particular. In a CONCUR 22 paper, Esparza et al. introduce a novel approach to the verification of RTS,…

Formal Languages and Automata Theory · Computer Science 2024-07-22 Philipp Czerner , Javier Esparza , Valentin Krasotin , Christoph Welzel-Mohr

The inference of an underlying network topology from local observations of a complex system composed of interacting units is usually attempted by using statistical similarity measures, such as Cross-Correlation (CC) and Mutual Information…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Nicolás Rubido , Arturo C. Martí , Ezequiel Bianco-Martínez , Celso Grebogi , Murilo S. Baptista , Cristina Masoller

We summarize the main results proved in recent work on the parameterized verification of safety properties for ad hoc network protocols. We consider a model in which the communication topology of a network is represented as a graph. Nodes…

Logic in Computer Science · Computer Science 2011-08-10 Giorgio Delzanno , Arnaud Sangnier , Gianluigi Zavattaro

Communication is an essential element of modern software, yet programming and analysing communicating systems are difficult tasks. A reason for this difficulty is the lack of compositional mechanisms that preserve relevant communication…

Logic in Computer Science · Computer Science 2022-08-10 Franco Barbanera , Ivan Lanese , Emilio Tuosto

We propose a new approach for proving safety of infinite state systems. It extends the analyzed system by transitive relations until its diameter D becomes finite, i.e., until constantly many steps suffice to cover all reachable states,…

Logic in Computer Science · Computer Science 2026-05-05 Florian Frohn , Jürgen Giesl

We study multitoken interaction machines in the context of a very expressive logical system with exponentials, fixpoints and synchronization. The advantage of such machines is to provide models in the style of the Geometry of Interaction,…

Logic in Computer Science · Computer Science 2015-07-08 Ugo Dal Lago , Claudia Faggian , Benoit Valiron , Akira Yoshimizu

We consider a new class of non Markovian processes with a countable number of interacting components. At each time unit, each component can take two values, indicating if it has a spike or not at this precise moment. The system evolves as…

Probability · Mathematics 2015-06-12 Antonio Galves , Eva Löcherbach

This paper introduces a novel paradigm for the analysis and verification of concurrent programs -- the Singularity Theory. We model the execution space of a concurrent program as a branched topological space, where program states are points…

Programming Languages · Computer Science 2025-10-30 Di Zhang

Complex systems are difficult to study not only because they are nonlinear, multiscale, and often nonstationary, but because their scientifically relevant organization is often invisible at the level of individual components, pairwise…

Physics and Society · Physics 2026-03-30 Mark M. Bailey

Interacting systems are ubiquitous in nature and engineering, ranging from particle dynamics in physics to functionally connected brain regions. These interacting systems can be modeled by graphs where edges correspond to the interactions…

Machine Learning · Computer Science 2024-01-25 Zhichao Han , Olga Fink , David S. Kammer

Discrete-event systems usually consist of discrete states and transitions between them caused by spontaneous occurrences of labelled (aka partially-observed) events. Due to the partially-observed feature, fundamental properties therein…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Kuize Zhang

The integration of neural networks into safety-critical systems has shown great potential in recent years. However, the challenge of effectively verifying the safety of Neural Network Controlled Systems (NNCS) persists. This paper…

Logic in Computer Science · Computer Science 2024-03-28 Yuhao Zhou , Stavros Tripakis

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

A fundamental advantage of Petri net models is the possibility to automatically compute useful system invariants from the syntax of the net. Classical techniques used for this are place invariants, P-components, siphons or traps. Recently,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Javier Esparza , Mikhail Raskin , Christoph Welzel

Interconnected systems such as power systems and chemical processes are often required to satisfy safety properties in the presence of faults and attacks. Verifying safety of these systems, however, is computationally challenging due to…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Luyao Niu , Abdullah Al Maruf , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

Decidability and synthesis of inductive invariants ranging in a given domain play an important role in many software and hardware verification systems. We consider here inductive invariants belonging to an abstract domain $A$ as defined in…

Programming Languages · Computer Science 2020-07-14 Francesco Ranzato

Collective organisation of patterns into ring-like configurations has been well-studied when patterns are subject to either weak or semi-strong interactions. However, little is known numerically or analytically about their formation when…

Dynamical Systems · Mathematics 2024-03-06 Dan J. Hill , Jason J. Bramburger , David J. B. Lloyd

Data-based inference of directed interactions in complex dynamical systems is a problem common to many disciplines of science. In this work, we study networks of spatially separate dynamical entities, which could represent physical systems…

Statistical Mechanics · Physics 2024-03-15 Tim Hempel , Sarah A. M. Loos

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

We propose a method for compositional verification to address the state space explosion problem inherent to model-checking timed systems with a large number of components. The main challenge is to obtain pertinent global timing constraints…

Logic in Computer Science · Computer Science 2017-01-11 Lacramioara Astefanoaei , Souha Ben Rayana , Saddek Bensalem , Marius Bozga , Jacques Combaz