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We consider approaches for causal semantics of Petri nets, explicitly representing dependencies between transition occurrences. For one-safe nets or condition/event-systems, the notion of process as defined by Carl Adam Petri provides a…

Logic in Computer Science · Computer Science 2021-03-02 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

In this paper the correspondence between safe Petri nets and event structures, due to Nielsen, Plotkin and Winskel, is extended to arbitrary nets without self-loops, under the collective token interpretation. To this end we propose a more…

Logic in Computer Science · Computer Science 2009-12-22 R. J. van Glabbeek , G. D. Plotkin

A crucial question in analyzing a concurrent system is to determine its long-run behaviour, and in particular, whether there are irreversible choices in its evolution, leading into parts of the reachability space from which there is no…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Giann Karlo Aguirre-Samboní , Stefan Haar , Loïc Paulevé , Stefan Schwoon , Nick Würdemann

Trace properties, which are sets of execution traces, are often used to analyze systems, but their expressiveness is limited. Clarkson and Schneider defined hyperproperties as a generalization of trace properties to sets of sets of traces.…

Logic in Computer Science · Computer Science 2023-10-03 Bernd Finkbeiner , Ernst-Rüdiger Olderog

The objective of this paper is to propose models enabling to study the behaviour of Ethernet switch for Networked Control Systems. Two scheduler policies are analyzed: the static priority and the WRR (Weighted Round Robin). The modelling…

Networking and Internet Architecture · Computer Science 2007-05-23 Belynda Brahimi , Christophe Aubrun , Eric Rondeau

Public-transit systems face a number of operational challenges: (a) changing ridership patterns requiring optimization of fixed line services, (b) optimizing vehicle-to-trip assignments to reduce maintenance and operation codes, and (c)…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Ruixiao Sun , Rongze Gui , Himanshu Neema , Yuche Chen , Juliette Ugirumurera , Joseph Severino , Philip Pugliese , Aron Laszka , Abhishek Dubey

Petri nets and their variants are often considered through their interleaved semantics, i.e. considering executions where, at each step, a single transition fires. This is clearly a miss, as Petri nets are a true concurrency model. This…

Logic in Computer Science · Computer Science 2025-02-05 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Loïc Hélouët , Philipp Schlehuber-Caissier

We analyze a timed Petri net model of an emergency call center which processes calls with different levels of priority. The counter variables of the Petri net represent the cumulated number of events as a function of time. We show that…

Optimization and Control · Mathematics 2015-08-26 Xavier Allamigeon , Vianney Bœuf , Stéphane Gaubert

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

This paper presents a new approach and design model targeting hybrid designer- and operator-defined performance budgets for timing and energy consumption. The approach is based on Petri Nets formalism. As the cognitive load is typically…

Software Engineering · Computer Science 2019-10-14 Heinz Schmidt , Maria Spichkova

Personal Rapid Transit (PRT) is a promising form of urban transport. Its operation consists in the use of small unmanned vehicles which convey the passengers among stations within a dedicated network. Various aspects of the PRT network…

Physics and Society · Physics 2017-10-17 Jerzy Mieścicki , Wiktor B. Daszczuk

We identify and demonstrate a weakness of Petri Nets (PN) in specifying composite behavior of reactive systems. Specifically, we show how, when specifying multiple requirements in one PN model, modelers are obliged to specify mechanisms for…

Software Engineering · Computer Science 2023-04-20 Achiya Elyasaf , Tom Yaacov , Gera Weiss

Interacting with human agents in complex scenarios presents a significant challenge for robotic navigation, particularly in environments that necessitate both collision avoidance and collaborative interaction, such as indoor spaces. Unlike…

Robotics · Computer Science 2024-11-07 Lingfeng Sun , Yixiao Wang , Pin-Yun Hung , Changhao Wang , Xiang Zhang , Zhuo Xu , Masayoshi Tomizuka

Two-player games on finite graphs provide a rigorous foundation for modeling the strategic interaction between reactive systems and their environment. While concurrent game semantics naturally capture the synchronous interactions…

Computer Science and Game Theory · Computer Science 2026-01-21 Ashwani Anand , Christel Baier , Calvin Chau , Sascha Klüppelholz , Ali Mirzaei , Satya Prakash Nayak , Anne-Kathrin Schmuck

This paper addresses the problem of modeling and scheduling the transmissions generated by multiple event-triggered control (ETC) loops sharing a network. We present a method to build a symbolic traffic model of periodic ETC (PETC), which…

Systems and Control · Electrical Eng. & Systems 2021-03-15 Gabriel de Albuquerque Gleizer , Manuel Mazo

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

Critical human-machine interfaces are present in many systems including avionics systems and medical devices. Use error is a concern in these systems both in terms of hardware panels and input devices, and the software that drives the…

Human-Computer Interaction · Computer Science 2017-01-31 Camille Fayollas , Célia Martinie , Philippe Palanque , Paolo Masci , Michael D. Harrison , José C. Campos , Saulo Rodrigues e Silva

Cyber-Physical Systems (CPSs) tightly interconnect digital and physical operations within production environments, enabling real-time monitoring, control, optimization, and autonomous decision-making that directly enhance manufacturing…

Machine Learning · Computer Science 2025-12-16 Francesco Vitale , Nicola Dall'Ora , Sebastiano Gaiardelli , Enrico Fraccaroli , Nicola Mazzocca , Franco Fummi

Tetris is an Asynchronous Byzantine Fault Tolerance consensus algorithm designed for next generation high-throughput permission and permissionless blockchain. The core concept of Tetris is derived from Reasoning About Knowledge, which we…

Multiagent Systems · Computer Science 2018-12-11 Jiajun Xu , Sam Huang

We present a Python package called Modular Petri Net Assembly Toolkit (MPAT) that empowers users to easily create large-scale, modular Petri Nets for various spatial configurations, including extensive spatial grids or those derived from…

Mathematical Software · Computer Science 2025-07-03 Stefano Chiaradonna , Petar Jevtic , Beckett Sterner
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