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Petri net synthesis consists in deciding for a given transition system $A$ whether there exists a Petri net $N$ whose reachability graph is isomorphic to $A$. Several works examined the synthesis of Petri net subclasses that restrict, for…

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

Although decidable, the marking reachability problem for Petri nets is well-known to be intractable in general, and a non-elementary lower bound has been recently uncovered. In order to alleviate this difficulty, various structural and…

Logic in Computer Science · Computer Science 2020-06-11 Thomas Hujsa , Bernard Berthomieu , Silvano Dal Zilio , Didier Le Botlan

This paper considers the liveness enforcement problem in a class of Petri nets (PNs) modeling distributed systems called Synchronized Sequential Processes (SSP). This class of PNs is defined as a set of mono-marked state machines…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Daniel Clavel , Cristian Mahulea , Manuel Silva

We consider transportation networks that are modeled by dynamic graphs, and introduce the possibility for traveling agents to use Backward Time-Travel (BTT) devices at any node to go back in time (to some extent, and with some appropriate…

Computational Complexity · Computer Science 2023-12-18 Quentin Bramas , Jean-Romain Luttringer , Sébastien Tixeuil

Petri nets are a classical model of concurrency widely used and studied in formal verification with many applications in modeling and analyzing hardware and software, data bases, and reactive systems. The reachability problem is central…

Logic in Computer Science · Computer Science 2022-10-19 Jérôme Leroux

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

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

Classical CTL temporal logics are built over systems with interleaving model concurrency. Many attempts are made to fight a state space explosion problem (for instance, compositional model checking). There are some methods of reduction of a…

Software Engineering · Computer Science 2017-10-27 Wiktor B. Daszczuk

Bayesian analysis of state-space models includes computing the posterior distribution of the system's parameters as well as filtering, smoothing, and predicting the system's latent states. When the latent states wander around $\mathbb{R}^n$…

Methodology · Statistics 2013-12-24 Jesse Windle , Carlos M. Carvalho

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

In this work we propose techniques for efficient reachability analysis of the state space (e.g., detection of bad states) using a combination of partial order and symmetry based reductions in a distributed setting. The proposed techniques…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-01-05 Janardan Misra , Suman Roy

Tensor network algorithms seek to minimize correlations to compress the classical data representing quantum states. Tensor network algorithms and similar tools---called tensor network methods---form the backbone of modern numerical methods…

Quantum Physics · Physics 2021-04-08 Andrey Kardashin , Alexey Uvarov , Jacob Biamonte

Computation Tree Logic of Knowledge (CTLK) can specify many design requirements of privacy and security of multi-agent systems (MAS). In our conference paper, we defined Knowledge-oriented Petri Nets (KPN) to model MAS and proposed…

Software Engineering · Computer Science 2022-12-08 Leifeng He , Guanjun Liu

Process models are, like event data, first-class citizens in most process mining approaches. Several process modeling formalisms have been proposed and used, e.g., Petri nets, BPMN, and process trees. Despite their frequent use, little…

Data Structures and Algorithms · Computer Science 2024-08-01 Gero Kolhof , Sebastiaan J. van Zelst

Petri nets are a mathematical language for modeling and reasoning about distributed systems. In this paper we propose an approach to Petri nets for embedding reversibility, i.e., the ability of reversing an executed sequence of operations…

Logic in Computer Science · Computer Science 2020-10-09 Anna Philippou , Kyriaki Psara

Many time-evolving systems in nature, society and technology leave traces of the interactions within them. These interactions form temporal networks that reflect the states of the systems. In this work, we pursue a coarse-grained…

Social and Information Networks · Computer Science 2019-02-07 Naoki Masuda , Petter Holme

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

Task graph scheduling is a relevant problem in computer science with application to diverse real world domains. Task graph scheduling suffers from a combinatorial explosion and thus finding optimal schedulers is a difficult task. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-26 Anne Ejsing , Martin Jensen , Marco Muñiz , Jacob Nørhave , Lars Rechter

In this paper, we propose novel state-based algorithms which dynamically control the random access network based on its current state such as channel states of wireless links and backlog states of the queues. After formulating the problem,…

Information Theory · Computer Science 2010-11-24 Amir Mahdy Khodaian , Babak H. Khalaj

We present a quantum algorithm that additively approximates the value of a tensor network to a certain scale. When combined with existing results, this provides a complete problem for quantum computation. The result is a simple new way of…

Quantum Physics · Physics 2010-02-09 Itai Arad , Zeph Landau
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