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In time Petri nets (TPNs), time and control are tightly connected: time measurement for a transition starts only when all resources needed to fire it are available. Further, upper bounds on duration of enabledness can force transitions to…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Loïc Hélouët , Pranay Agrawal

We define a new method for taking advantage of net reductions in combination with a SMT-based model checker. Our approach consists in transforming a reachability problem about some Petri net, into the verification of an updated reachability…

Logic in Computer Science · Computer Science 2023-06-22 Nicolas Amat , Bernard Berthomieu , Silvano Dal Zilio

We propose an automated procedure to prove polyhedral abstractions (also known as polyhedral reductions) for Petri nets. Polyhedral abstraction is a new type of state space equivalence, between Petri nets, based on the use of linear integer…

Logic in Computer Science · Computer Science 2026-04-08 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

When nodes can repeatedly update their behavior (as in agent-based models from computational social science or repeated-game play settings) the problem of optimal network seeding becomes very complex. For a popular spreading-phenomena model…

Social and Information Networks · Computer Science 2023-06-22 Gwen Spencer

Computing steady-state distributions in infinite-state stochastic systems is in general a very dificult task. Product-form Petri nets are those Petri nets for which the steady-state distribution can be described as a natural product…

Performance · Computer Science 2017-08-22 Patricia Bouyer , Serge Haddad , Vincent Jugé

We investigate the problem asking whether the intersection of a context-free language (CFL) and a Petri net language (PNL) is empty. Our contribution to solve this long-standing problem which relates, for instance, to the reachability…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Mohamed Faouzi Atig , Pierre Ganty

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 2024-09-04 Giann Karlo Aguirre Samboni , Stefan Haar , Loic Paulevé , Stefan Schwoon , Nick Würdemann

Neural networks (NNs) have been shown to learn complex control laws successfully, often with performance advantages or decreased computational cost compared to alternative methods. Neural network controllers (NNCs) are, however, highly…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Oliver Gates , Matthew Newton , Konstantinos Gatsis

The place invariant method is well known as an elegant way to construct a Petri net controller. It is possible to use the constraint for preventing forbidden states. But in general case, the number forbidden states can be very large giving…

Information Theory · Computer Science 2009-04-06 Hassane. Alla

Neural networks (NN) have been successfully applied to approximate various types of complex control laws, resulting in low-complexity NN-based controllers that are fast to evaluate. However, when approximating control laws using NN,…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Dieter Teichrib , Moritz Schulze Darup

In this paper, domination in Signed Petri net(SPN) has been introduced.We identify some of the Petri net structures where a dominating set can exist.Applications of producer consumer problem, searching of food by bees and finding similarity…

Discrete Mathematics · Computer Science 2020-01-14 Payal , Sangita Kansal

Cognitive Radio Networks (CRNs) are considered as a promising solution to the spectrum shortage problem in wireless communication. In this paper, we initiate the first systematic study on the algorithmic complexity of the connectivity…

Data Structures and Algorithms · Computer Science 2013-01-08 Hongyu Liang , Tiancheng Lou , Haisheng Tan , Yuexuan Wang , Dongxiao Yu

An automata network is a graph of entities, each holding a state from a finite set and evolving according to a local update rule which depends only on its neighbors in the network's graph. It is freezing if there is an order on the states…

Computational Complexity · Computer Science 2025-11-13 Eric Goles , Pedro Montealegre , Martín Ríos-Wilson , Guillaume Theyssier

Dynamic networks of concurrent pushdown systems (DCPS) are a theoretical model for multi-threaded recursive programs with shared global state and dynamical creation of threads. The (global) state reachability problem for DCPS is undecidable…

Formal Languages and Automata Theory · Computer Science 2020-11-19 Pascal Baumann , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

One-counter nets (OCN) are Petri nets with exactly one unbounded place. They are equivalent to a subclass of one-counter automata with just a weak test for zero. Unlike many other semantic equivalences, strong and weak simulation preorder…

Formal Languages and Automata Theory · Computer Science 2013-10-24 Piotr Hofman , Slawomir Lasota , Richard Mayr , Patrick Totzke

The biased net paradigm was the first general and empirically tractable scheme for parameterizing complex patterns of dependence in networks, expressing deviations from uniform random graph structure in terms of latent ``bias events,''…

Methodology · Statistics 2024-05-30 Carter T. Butts

Elementary Object Systems (EOS) are a form of Petri Net (PN) where tokens carry internal PN. This model has been recently proposed for analysis of robustness of Multi Agent Systems. While EOS reachability is known to be undecidable, the…

Computational Complexity · Computer Science 2025-04-07 Francesco Di Cosmo , Soumodev Mal , Tephilla Prince

Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: the first selects a set of nodes so that observing this set…

Optimization and Control · Mathematics 2020-06-09 Eyal Weiss , Michael Margaliot

Petri nets are a popular formalism for modeling and analyzing distributed systems. Tokens in Petri net models can represent the control flow state or resources produced/consumed by transition firings. We define a resource as a part (a…

Logic in Computer Science · Computer Science 2023-06-22 Irina Lomazova , Vladimir Bashkin , Petr Jančar
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