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Many categorical frameworks have been proposed to formalize the idea of gluing Petri nets with each other. Such frameworks model net gluings in terms of sharing of resources or synchronization of transitions. Interpretations given to these…

Category Theory · Mathematics 2023-06-28 Fabrizio Genovese , Fosco Loregian , Daniele Palombi

This paper deals with transient stability in interconnected micro-grids. The main contribution involves i) robust classification of transient dynamics for different intervals of the micro-grid parameters (synchronization, inertia, and…

Optimization and Control · Mathematics 2017-08-25 Dario Bauso

Reversible computations constitute an unconventional form of computing where any sequence of performed operations can be undone by executing in reverse order at any point during a computation. It has been attracting increasing attention as…

Computation and Language · Computer Science 2023-06-22 Kamila Barylska , Anna Gogolińska

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

In distributed synthesis, we generate a set of process implementations that, together, accomplish an objective against all possible behaviors of the environment. A lot of recent work has focussed on systems with causal memory, i.e., sets of…

Logic in Computer Science · Computer Science 2022-06-01 Raven Beutner , Bernd Finkbeiner , Jesko Hecking-Harbusch

In this paper we introduce the notion of spread net. Spread nets are (safe) Petri nets equipped with vector clocks on places and with ticking functions on transitions, and are such that vector clocks are consistent with the ticking of…

Logic in Computer Science · Computer Science 2018-10-19 Eric Fabre , G. Michele Pinna

We develop a theory for state-based noninterference in a setting where different security policies---we call them local policies---apply in different parts of a given system. Our theory comprises appropriate security definitions,…

Cryptography and Security · Computer Science 2013-06-17 Sebastian Eggert , Henning Schnoor , Thomas Wilke

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

A new formalism of Petri nets, based on the adoption of the "position-arc-transition" triad and "transition-arc-position" triad as structure-forming units is introduced. In accordance with the Fusion principle, an analytical representation…

Logic in Computer Science · Computer Science 2019-10-22 Alexander Yu. Chunikhin

The topological interference management problem refers to the study of the capacity of partially connected linear (wired and wireless) communication networks with no channel state information at the transmitters (no CSIT) beyond the network…

Information Theory · Computer Science 2013-02-19 Hua Sun , Chunhua Geng , Syed A. Jafar

We classify all additive invariants of open Petri nets: these are $\mathbb{N}$-valued invariants which are additive with respect to sequential and parallel composition of open Petri nets. In particular, we prove two classification theorems:…

Category Theory · Mathematics 2025-07-30 Benjamin Merlin Bumpus , Sophie Libkind , Jordy Lopez Garcia , Layla Sorkatti , Samuel Tenka

An interaction is a certain symmetric graph that describes the possible transition of states of adjacent sites of large-scale interacting systems. In the series of studies Bannai-Kametani-Sasada arXiv:2009.04699, Bannai-Sasada…

Combinatorics · Mathematics 2024-10-16 Hidetada Wachi

We study discrete time linear constrained switching systems with additive disturbances, in which the switching may be on the system matrices, the disturbance sets, the state constraint sets or a combination of the above. In our general…

Systems and Control · Computer Science 2017-02-03 Nikolaos Athanasopoulos , Konstantinos Smpoukis , Raphael M. Jungers

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Information flow control type systems statically restrict the propagation of sensitive data to ensure end-to-end confidentiality. The property to be shown is noninterference, asserting that an attacker cannot infer any secrets from made…

Programming Languages · Computer Science 2021-04-30 Farzaneh Derakhshan , Stephanie Balzer , Limin Jia

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

The paper is an attempt to generalize a methodology, which is similar to the bounded-input bounded-output method currently widely used for the system stability studies. The presented earlier methodology allows decomposition of input space…

Artificial Intelligence · Computer Science 2007-05-23 Ziny Flikop

Luo et al. proposed a new method to design the maximally permissive and efficient supervisor for enforcing linear constraints on an ordinary Petri net with uncontrollable transitions. In order to develop this method, Theorem 3 is given. It…

Systems and Control · Computer Science 2014-06-26 Shouguang Wang , Jing Yang , Mengchu Zhou

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

A central decision problem in Petri net theory is reachability asking whether a given marking can be reached from the initial marking. Related is the covering problem (or sub-marking reachbility), which decides whether there is a reachable…

Formal Languages and Automata Theory · Computer Science 2026-02-03 Thomas M. Prinz , Christopher T. Schwanen , Wil M. P. van der Aalst