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Related papers: On Concept of Creative Petri Nets

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We build on the correspondence between Petri nets and free symmetric strict monoidal categories already investigated in the literature, and present a categorical semantics for Petri nets with guards. This comes in two flavors: Deterministic…

Category Theory · Mathematics 2020-12-14 Fabrizio Genovese , David I. Spivak

In reversible computations one is interested in the development of mechanisms allowing to undo the effects of executed actions. The past research has been concerned mainly with reversing single actions. In this paper, we consider the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 David de Frutos Escrig , Maciej Koutny , Łukasz Mikulski

Detectability describes the property of a system whose current and the subsequent states can be uniquely determined after a finite number of observations. In this paper, we developed a novel approach to verifying strong detectability and…

Systems and Control · Computer Science 2019-03-25 Hao Lan , Yin Tong , Carla Seatzu , Jin Guo

In this contribution we extend the concept of a Petri net morphism to Elementary Object Systems (EOS). EOS are a nets-within-nets formalism, i.e. we allow the tokens of a Petri net to be Petri nets again. This nested structure has the…

Logic in Computer Science · Computer Science 2024-11-04 Michael Köhler-Bussmeier , Lorenzo Capra

Persistence is a strong, global, behavioural property of a Petri net, meaning that no activity can disable a different activity. Persistent permutability is a weaker property, pertaining to individual interleavings of a Petri net and…

Formal Languages and Automata Theory · Computer Science 2026-01-27 Eike Best , Raymond Devillers

Being able to find small Petri nets with the same behaviour as formal specifications of concurrent systems benefits both effective verification and practical implementation of such systems. This paper considers specifications given in the…

Computer Science and Game Theory · Computer Science 2025-12-16 Victor Khomenko , Maciej Koutny , Alex Yakovlev

Since the energy domain is in a transformative shift towards sustainability, the integration of new technologies and smart systems into traditional power grids has emerged. As an effective approach, Petri Nets (PN) have been applied to…

Other Computer Science · Computer Science 2024-01-12 Mouzhi Ge , Bruno Rossi , Stanislav Chren , José Miguel Blanco

In this report, we detail the model using Petri Nets of a new fully distributed resource reservation system. The basic idea of the considered distributed system is to let a user reserve a set of resources on a local network and to use them,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-12 Camille Coti , Sami Evangelista , Kais Klai

When considering distributed systems, it is a central issue how to deal with interactions between components. In this paper, we investigate the paradigms of synchronous and asynchronous interaction in the context of distributed systems. We…

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

The evolution of self-adaptive systems poses the problems of their coherence and the resume of the systems' functioning taking into account the accomplished work. While they are the base of the self-adaptive systems, these two aspects are…

Software Engineering · Computer Science 2014-06-16 Ammar Lahlouhi

We review some of the endeavors in trying to connect Petri nets with free symmetric monoidal categories. We give a list of requirement such connections should respect if they are meant to be useful for practical/implementation purposes. We…

Category Theory · Mathematics 2019-05-10 Fabrizio Genovese , Alex Gryzlov , Jelle Herold , Marco Perone , Erik Post , André Videla

Causal nets (CNs) are Petri nets where causal dependencies are modelled via inhibitor arcs. They play the role of occurrence nets when representing the behaviour of a concurrent and distributed system, even when reversibility is considered.…

Logic in Computer Science · Computer Science 2025-06-11 Hernán Melgratti , Claudio Antares Mezzina , G. Michele Pinna

In this paper, we present an integrated structural and behavioral model of Reo connectors and Petri nets, allowing a direct comparison of the two concurrency models. For this purpose, we introduce a notion of connectors which consist of a…

Logic in Computer Science · Computer Science 2009-12-01 Christian Krause

Petri nets provide accurate analogues to chemical reaction networks, with places representing individual molecules (the resources of the system) and transitions representing chemical reactions which convert educt molecules into product…

Discrete Mathematics · Computer Science 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle

We consider timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Our cost model assigns token storage…

Logic in Computer Science · Computer Science 2015-03-19 Parosh Aziz Abdulla , Richard Mayr

We introduce a complex systems perspective on innovation in networks in which innovation is conceptualized as a form of creative act associated with the dynamics and evolution of business network. We show how innovation is a form of…

Adaptation and Self-Organizing Systems · Physics 2012-03-08 Ian Wilkinson , Louise Young

This paper presents an alternative approach of analyzing possibly multitype point patterns in space and space-time that occur on network structures, and introduces several different graph-related intensity measures. The proposed formalism…

Applications · Statistics 2017-10-18 Matthias Eckardt , Jorge Mateu

We propose a new method that takes advantage of structural reductions to accelerate the verification of reachability properties on Petri nets. Our approach relies on a state space abstraction, called polyhedral abstraction, which involves a…

Logic in Computer Science · Computer Science 2023-02-07 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

Boolean Petri nets equipped with nop allow places and transitions to be independent by being related by nop. We characterize for any fixed natural number g the computational complexity of synthesizing nop-equipped Boolean Petri nets from…

Computational Complexity · Computer Science 2019-11-15 Ronny Tredup

We present a concurrent operational Petri net semantics for the join-calculus, a process calculus for specifying concurrent and distributed systems. There often is a gap between system specifications and the actual implementations caused by…

Logic in Computer Science · Computer Science 2012-08-15 Stephan Mennicke
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