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We investigate bisimulation equivalence on Petri nets under durational semantics. Our motivation was to verify the conjecture that in durational setting, the bisimulation equivalence checking problem becomes more tractable than in ordinary…

Computational Complexity · Computer Science 2015-06-29 Slawomir Lasota , Marcin Poturalski

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

Reversible computing is a paradigm of computation that reflects physical reversibility, one of the fundamental microscopic laws of Nature. In this survey, we discuss topics on reversible logic elements with memory (RLEM), which can be used…

Formal Languages and Automata Theory · Computer Science 2013-09-06 Kenichi Morita

Place/transition Petri nets are a standard model for a class of distributed systems whose reachability spaces might be infinite. One of well-studied topics is the verification of safety and liveness properties in this model; despite the…

Logic in Computer Science · Computer Science 2016-08-09 Petr Jancar

The coverability problem for Petri nets plays a central role in the verification of concurrent shared-memory programs. However, its high EXPSPACE-complete complexity poses a challenge when encountered in real-world instances. In this paper,…

Logic in Computer Science · Computer Science 2017-03-24 Michael Blondin , Alain Finkel , Christoph Haase , Serge Haddad

We survey 25 years of research on decidability issues for Petri nets. We collect results on the decidability of important properties, equivalence notions, and temporal logics.

Formal Languages and Automata Theory · Computer Science 2024-11-05 Javier Esparza , Mogens Nielsen

Process models are used by human analysts to model and analyse behaviour, and by machines to verify properties such as soundness, liveness or other reachability properties, and to compare their expressed behaviour with recorded behaviour…

Machine Learning · Computer Science 2022-03-22 Sander J. J. Leemans

Causal reversibility blends reversibility and causality for concurrent systems. It indicates that an action can be undone provided that all of its consequences have been undone already, thus making it possible to bring the system back to a…

Logic in Computer Science · Computer Science 2024-02-14 Marco Bernardo , Claudio A. Mezzina

Graph transformation systems (GTS) have been successfully proposed as a general, theoretically sound model for concurrency. Petri nets (PN), on the other side, are a central and intuitive formalism for concurrent or distributed systems,…

Formal Languages and Automata Theory · Computer Science 2019-09-05 Lorenzo Capra

Sequence-to-sequence learning naturally has two directions. How to effectively utilize supervision signals from both directions? Existing approaches either require two separate models, or a multitask-learned model but with inferior…

Computation and Language · Computer Science 2022-01-25 Zaixiang Zheng , Hao Zhou , Shujian Huang , Jiajun Chen , Jingjing Xu , Lei Li

Green supply chain is an emerging approach in supply chain management to reduce environmental impact of the process concerning the flow of goods and materials. As a discrete-event system, supply chain can be modeled using Petri Nets.…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Daffa R. Kaiyandra , Farizal F , Naly Rakoto

Petri Nets is very interesting tool for studying and simulating different behaviors of information systems. It can be used in different applications based on the appropriate class of Petri Nets whereas it is classical, colored or timed…

Artificial Intelligence · Computer Science 2018-06-11 Mohamed Yorky , Aboul Ella Hassanien

Pipelining is a design technique for logical circuits that allows for higher throughput than circuits in which multiple computations are fed through the system one after the other. It allows for much faster computation than architectures in…

Computational Physics · Physics 2024-10-28 Ian Seet , Thomas E. Ouldridge , Jonathan P. K. Doye

Solutions proposed for the longstanding problem of automatic decomposition of Petri nets into concurrent processes, as well as methods developed in Grenoble for the automatic conversion of safe Petri nets to NUPNs (Nested-Unit Petri Nets),…

Logic in Computer Science · Computer Science 2021-01-22 Hubert Garavel

Capturing stochastic behaviors in business and work processes is essential to quantitatively understand how nondeterminism is resolved when taking decisions within the process. This is of special interest in process mining, where event data…

Logic in Computer Science · Computer Science 2023-06-13 Sander J. J. Leemans , Fabrizio M. Maggi , Marco Montali

Deep Learning and Machine Learning based models have become extremely popular in text processing and information retrieval. However, the non-linear structures present inside the networks make these models largely inscrutable. A significant…

Information Retrieval · Computer Science 2026-03-12 Sourav Saha , Debapriyo Majumdar , Mandar Mitra

Undoing computations of a concurrent system is beneficial in many situations, e.g., in reversible debugging of multi-threaded programs and in recovery from errors due to optimistic execution in parallel discrete event simulation. A number…

Logic in Computer Science · Computer Science 2024-02-13 Ivan Lanese , Iain Phillips , Irek Ulidowski

Reversibility is a key concept in Markov models and Master-equation models of molecular kinetics. The analysis and interpretation of the transition matrix encoding the kinetic properties of the model relies heavily on the reversibility…

Chemical Physics · Physics 2015-09-23 Benjamin Trendelkamp-Schroer , Hao Wu , Fabian Paul , Frank Noé

This work provides a geometric version of the next-generation matrix method for obtaining the basic reproduction number of an epidemiological model. We exhibit a certain correspondence between any system of ODEs and Petri nets. We observe…

Populations and Evolution · Quantitative Biology 2025-08-12 Carlos Segovia

Watson-Crick automata are finite automata working on double strands. Extensive research work has already been done on non-deterministic Watson-Crick automata and on deterministic Watson-Crick automata. In this paper, we introduce a new…

Formal Languages and Automata Theory · Computer Science 2015-12-10 Kingshuk Chatterjee , Kumar Sankar Ray
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