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We investigate classes of systems based on different interaction patterns with the aim of achieving distributability. As our system model we use Petri nets. In Petri nets, an inherent concept of simultaneity is built in, since when a…

Logic in Computer Science · Computer Science 2009-01-05 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

We introduce {\omega}-Petri nets ({\omega}PN), an extension of plain Petri nets with {\omega}-labeled input and output arcs, that is well-suited to analyse parametric concurrent systems with dynamic thread creation. Most techniques (such as…

Logic in Computer Science · Computer Science 2013-01-29 Gilles Geeraerts , Alexander Heußner , M. Praveen , Jean-François Raskin

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

Petri nets are an established graphical formalism for modeling and analyzing the behavior of systems. An important consideration of the value of Petri nets is their use in describing both the syntax and semantics of modeling formalisms.…

Software Engineering · Computer Science 2018-10-24 Sabah Al-Fedaghi , Dana Shbeeb

We study timed Petri nets, with preselection and priority routing. We represent the behavior of these systems by piecewise affine dynamical systems. We use tools from the theory of nonexpansive mappings to analyze these systems. We…

Optimization and Control · Mathematics 2023-06-22 Xavier Allamigeon , Marin Boyet , Stéphane Gaubert

Scheduling is a key decision-making process to improve the performance of flexible manufacturing systems. Place-timed Petri nets provide a formal method for graphically modeling and analyzing such systems. By generating reachability graphs…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Zhou He , Ning Li , Ning Ran , Liang Li

Temporal graph neural networks (TGNNs) have been widely used for modeling time-evolving graph-related tasks due to their ability to capture both graph topology dependency and non-linear temporal dynamic. The explanation of TGNNs is of vital…

Machine Learning · Computer Science 2022-09-05 Wenchong He , Minh N. Vu , Zhe Jiang , My T. Thai

Reachability and other path-based measures on temporal graphs can be used to understand spread of infection, information, and people in modelled systems. Due to delays and errors in reporting, temporal graphs derived from data are unlikely…

Discrete Mathematics · Computer Science 2025-05-23 Jessica Enright , Laura Larios-Jones , Kitty Meeks , William Pettersson

The worldwide healthcare organizations are facing a number of daunting challenges forcing systems to benefit from modern technologies and telecom capabilities. Hence, systems evolution through extension of the existing information…

Software Engineering · Computer Science 2012-10-23 Sabri Mtibaa , Moncef Tagina

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order and modal languages without labels on transitions or atomic propositions on…

Logic in Computer Science · Computer Science 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

Temporal graphs are a special class of graphs for which a temporal component is added to edges, that is, each edge possesses a set of times at which it is available and can be traversed. Many classical problems on graphs can be translated…

Data Structures and Algorithms · Computer Science 2025-04-10 Lapo Cioni , Riccardo Dondi , Andrea Marino , Jason Schoeters , Ana Silva

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

In a previous paper we introduced immediate observation (IO) Petri nets, a class of interest in the study of population protocols and enzymatic chemical networks. In the first part of this paper we show that IO nets are globally flat, and…

Logic in Computer Science · Computer Science 2020-07-22 Mikhail Raskin , Chana Weil-Kennedy , Javier Esparza

A timed network consists of an arbitrary number of initially identical 1-clock timed automata, interacting via hand-shake communication. In this setting there is no unique central controller, since all automata are initially identical. We…

Logic in Computer Science · Computer Science 2018-06-22 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Radu Ciobanu , Richard Mayr , Patrick Totzke

In this paper, we study the problem of non-blockingness verification by tapping into the basis reachability graph (BRG). Non-blockingness is a property that ensures that all pre-specified tasks can be completed, which is a mandatory…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Chao Gu , Ziyue Ma , Zhiwu Li , Alessandro Giua

Temporal network analysis and time evolution of network characteristics are powerful tools in describing the changing topology of dynamic networks. This paper uses such approaches to better visualize and provide analytical measures for the…

Multiagent Systems · Computer Science 2021-10-04 N. DiBrita , K. Eledlebi , H. Hildmann , L. Culley , A. F. Isakovic

Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which can be effectively modeled using temporal hypergraphs.…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Anqi Dong , Xin Mao , Can Chen

Structure of real networked systems, such as social relationship, can be modeled as temporal networks in which each edge appears only at the prescribed time. Understanding the structure of temporal networks requires quantifying the…

Physics and Society · Physics 2016-02-17 Taro Takaguchi , Yosuke Yano , Yuichi Yoshida

Model-based testing of software and hardware systems uses behavioral and formal models of the systems. The paper presents a technique for model-based black-box conformance testing of real-time systems using Labeled Prioritized Time Petri…

Software Engineering · Computer Science 2012-06-06 Noureddine Adjir , Pierre de Saqui Sannes , M. Kamel Rahmouni , Abdelkader Adla