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We propose a framework to distributed diagnos- ability analysis of concurrent systems modeled with Petri nets as a collection of components synchronizing on common observable transitions, where faults can occur in several components. The…

Logic in Computer Science · Computer Science 2015-03-02 Laura Brandán-Briones , Agnes Madalinski , Hernán Ponce-de-León

The distribution of entanglement in quantum networks is typically approached under idealized assumptions such as perfect synchronization and centralized control, while classical communication is often neglected. However, these assumptions…

Quantum Physics · Physics 2024-06-04 Shahrooz Pouryousef , Hassan Shapourian , Don Towsley

Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

Physics and Society · Physics 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

Neurons and Cognition · Quantitative Biology 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

In this paper we introduce the notion of spread net. Spread nets are (safe) Petri nets equipped with vector clocks on places and with ticking functions on transitions, and are such that vector clocks are consistent with the ticking of…

Logic in Computer Science · Computer Science 2018-10-19 Eric Fabre , G. Michele Pinna

Motivation: Biological Petri Nets (Bio-PNs) model biochemical pathways where multiple reactions simultaneously affect shared metabolites through convergent production or regulatory coupling. However, classical Petri net independence theory…

Molecular Networks · Quantitative Biology 2025-12-22 Eugenio Simao

Neural-network processing in machine learning applications relies on layer synchronization. This is practiced even in artificial Spiking Neural Networks (SNNs), which are touted as consistent with neurobiology, in spite of processing in the…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Roel Koopman , Amirreza Yousefzadeh , Mahyar Shahsavari , Guangzhi Tang , Manolis Sifalakis

This lecture note focuses on comparing the notions of invariance and home spaces in Transition Systems and more particularly, in Petri Nets. We also describe how linear algebra relates to these basic notions in Computer Science, how it can…

Formal Languages and Automata Theory · Computer Science 2024-10-23 Gerard Memmi

The theory of Petri Nets provides a general framework to specify the behaviors of real-time reactive systems and Time Petri Nets were introduced to take also temporal specifications into account. We present in this paper a forward…

Logic in Computer Science · Computer Science 2007-05-23 Guillaume Gardey , Olivier H. Roux , Olivier F. Roux

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

We conduct a systematic study of asynchronous models of distributed computing consisting of identical finite-state devices that cooperate in a network to decide if the network satisfies a given graph-theoretical property. Models discussed…

Formal Languages and Automata Theory · Computer Science 2020-07-08 Javier Esparza , Fabian Reiter

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network's structure. For non identical elements, the lack of…

Adaptation and Self-Organizing Systems · Physics 2016-01-20 A. Navas , J. A. Villacorta-Atienza , I. Leyva , J. A. Almendral , I. Sendiña-Nadal , S. Boccaletti

The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics (that is defined in terms of bisimilarity) is characterized by the final morphism in some category of coalgebras. Since…

Logic in Computer Science · Computer Science 2015-07-01 Filippo Bonchi , Ugo Montanari

In this work, we analyse Petri nets where places are allowed to have a negative number of tokens. For each net we build its correspondent category of executions, which is compact closed, and prove that this procedure is functorial. We…

Category Theory · Mathematics 2019-01-30 Fabrizio Genovese , Jelle Herold

The increasing demand for automation and flexibility drives the widespread adoption of heterogeneous automated guided vehicles (AGVs). This work intends to investigate a new scheduling problem in a material transportation system consisting…

Systems and Control · Electrical Eng. & Systems 2025-08-04 Boyu Li , Zhengchen Li , Weimin Wu , Mengchu Zhou

In order to speed up the synthesis of Petri nets from labelled transition systems, a divide and conquer strategy consists in defining decompositions of labelled transition systems, such that each component is synthesisable iff so is the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers

In this paper, we study asynchronous consensus problems of continuous-time multi-agent systems with discontinuous information transmission. The proposed consensus control strategy is implemented only based on the state information at some…

Dynamical Systems · Mathematics 2007-05-23 Feng Xiao , Long Wang

This paper studies the utility of using data analytics and machine learning techniques for identifying, classifying, and characterizing the dynamics of large-scale parallel (MPI) programs. To this end, we run microbenchmarks and realistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Gerhard Wellein , Stefano Markidis

Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronous solution, the fundamental question of the transient…

Adaptation and Self-Organizing Systems · Physics 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

Transient and equilibrium synchronizations in complex neuronal networks as a consequence of dynamics induced by having sources placed at specific neurons are investigated. The basic integrate-and-fire neuron is adopted, and the dynamics is…

Neurons and Cognition · Quantitative Biology 2008-02-18 Luciano da Fontoura Costa