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The seminal paper on the meaning of the vector potential by E. J. Konopinski is revisited. The full significance of this work has not been generally recognized to date. We first briefly review Konopinski's findings and show that many of his…

Classical Physics · Physics 2011-03-28 Paul J Cote , Mark A. Johnson

This paper presents a new formal method for verification of quantum communication protocols. By extending the symbolic system of Petri nets, we can define quantum pure states in Petri-net settings. Therefore, it is possible to emerge a…

Quantum Physics · Physics 2017-04-25 Sheng Zhang , Yonghui Ma , Chunning Meng , Haiping Wang

Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2014-09-10 Matteo Camilli

We introduce quasi-Prufer extensions of rings in order to relativize the notion of quasi-Prufer domains and to take into account some contexts recently introduced in the literature. We also introduce almost-Prufer ring extensions.…

Commutative Algebra · Mathematics 2016-11-01 Gabriel Picavet , Martine Picavet-L'Hermitte

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

Safety critical systems strongly require the quality aspects of artificial intelligence including explainability. In this paper, we analyzed a trained network to extract features which mainly contribute the inference. Based on the analysis,…

Computer Vision and Pattern Recognition · Computer Science 2017-12-11 Hiroshi Kuwajima , Masayuki Tanaka

A model of an information system describes its processes and how resources are involved in these processes to manipulate data objects. This paper presents an extension to the Petri nets formalism suitable for describing information systems…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Jan Martijn E. M. van der Werf , Andrey Rivkin , Marco Montali , Artem Polyvyanyy

We review measures of street network structure proposed in the recent literature, establish their relevance to practice, and identify open challenges facing researchers. These measures' empirical values vary substantially across world…

Physics and Society · Physics 2024-09-13 Marc Barthelemy , Geoff Boeing

For the first time, the concept of CHTW-systems as a multidimensional representation of Petri nets, based on the assumption of the spatial distribution of tokens (resources) in positions (branes) and, accordingly, the spatial representation…

Logic in Computer Science · Computer Science 2023-10-04 Alexander Yu. Chunikhin

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman

This paper presents a novel technique for process discovery. In contrast to the current trend, which only considers an event log for discovering a process model, we assume two additional inputs: an independence relation on the set of logged…

Logic in Computer Science · Computer Science 2015-07-13 Hernán Ponce-de-León , César Rodríguez , Josep Carmona , Keijo Heljanko , Stefan Haar

We propose a method for checking generalized reachability properties in Petri nets that takes advantage of structural reductions and that can be used, transparently, as a pre-processing step of existing model-checkers. Our approach is based…

Logic in Computer Science · Computer Science 2024-01-09 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

Reversible computation is an unconventional form of computing where any executed sequence of operations can be executed in reverse at any point during computation. It has recently been attracting increasing attention in various research…

Logic in Computer Science · Computer Science 2018-04-13 Anna Philippou , Kyriaki Psara

We present a formalism for Petri nets based on polynomial-style finite-set configurations and etale maps. The formalism supports both a geometric semantics in the style of Goltz and Reisig (processes are etale maps from graphs) and an…

Logic in Computer Science · Computer Science 2023-01-06 Joachim Kock

Timing aspects in formalisms with explicit resources and parallelism are investigated, and it is presented a formal link between timed membrane systems and timed Petri nets with localities. For both formalisms, timing does not increase the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-07 Bogdan Aman , Gabriel Ciobanu

Checkerboard surfaces in alternating link complements are used frequently to determine information about the link. However, when many crossings are added to a single twist region of a link diagram, the geometry of the link complement…

Geometric Topology · Mathematics 2016-12-21 Marc Lackenby , Jessica S. Purcell

We introduce the concept of a morphism between coloured nets. Our definition generalizes Petris definition for ordinary nets. A morphism of coloured nets maps the topological space of the underlying undirected net as well as the kernel and…

Software Engineering · Computer Science 2007-05-23 Joachim Wehler

Mobile computing systems, service-based systems and some other systems with mobile interacting components have recently received much attention. However, because of their characteristics such as mobility and disconnection, it is difficult…

Software Engineering · Computer Science 2021-11-04 Zhijun Ding , Ru Yang , Puwen Cui , MengChu Zhou , Changjun Jiang

We give a brief survey of primitivity in ring theory and in particular look at characterizations of primitive ideals in the prime spectrum for various classes of rings.

Rings and Algebras · Mathematics 2020-08-18 Jason P. Bell

This is the first of two papers about the structure of Kauffman networks. In this paper we define the relevant elements of random networks of automata, following previous work by Flyvbjerg and Flyvbjerg and Kjaer, and we study numerically…

Disordered Systems and Neural Networks · Physics 2009-10-30 U. Bastolla , G. Parisi