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In this paper we study reachability verification problems of stochastic discrete-time dynamical systems over the infinite time horizon. The reachability verification of interest in this paper is to certify specified lower and upper bounds…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Bai Xue

We formalise a general concept of distributed systems as sequential components interacting asynchronously. We define a corresponding class of Petri nets, called LSGA nets, and precisely characterise those system specifications which can be…

Logic in Computer Science · Computer Science 2015-07-01 Rob J. van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

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

Vector Addition Systems and equivalent Petri nets are a well established models of concurrency. The central algorithmic problem for Vector Addition Systems with a long research history is the reachability problem asking whether there exists…

Formal Languages and Automata Theory · Computer Science 2022-10-27 Wojciech Czerwiński , Łukasz Orlikowski

Generalized Category Discovery (GCD) aims to classify unlabelled images from both `seen' and `unseen' classes by transferring knowledge from a set of labelled `seen' class images. A key theme in existing GCD approaches is adapting…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Hongjun Wang , Sagar Vaze , Kai Han

We consider a multi-object detection problem over a sensor network (SNET) with limited range sensors. This problem complements the widely considered decentralized detection problem where all sensors observe the same object. While the…

Information Theory · Computer Science 2016-11-17 Erhan B. Ermis , Venkatesh Saligrama

We study detectability properties for labeled Petri nets and finite automata. We first study weak approximate detectability (WAD) that implies that there exists an infinite observed output sequence of the system such that each prefix of the…

Optimization and Control · Mathematics 2019-07-02 Kuize Zhang , Alessandro Giua

Computing the reachability probability in infinite state probabilistic models has been the topic of numerous works. Here we introduce a new property called \emph{divergence} that when satisfied allows to compute reachability probabilities…

Formal Languages and Automata Theory · Computer Science 2026-03-03 Alain Finkel , Serge Haddad , Lina Ye

We study the qualitative and quantitative zero-reachability problem in probabilistic multi-counter systems. We identify the undecidable variants of the problems, and then we concentrate on the remaining two cases. In the first case, when we…

Formal Languages and Automata Theory · Computer Science 2014-01-28 Tomáš Brázdil , Stefan Kiefer , Antonín Kučera , Petr Novotný , Joost-Pieter Katoen

Inspired by distributed applications that use consensus or other agreement protocols for global coordination, we define a new computational model for parameterized systems that is based on a general global synchronization primitive and…

Formal Languages and Automata Theory · Computer Science 2021-05-07 Nouraldin Jaber , Swen Jacobs , Christopher Wagner , Milind Kulkarni , Roopsha Samanta

Developing algorithms for distributed systems is an error-prone task. Formal models like Petri nets with transits and Petri games can prevent errors when developing such algorithms. Petri nets with transits allow us to follow the data flow…

Logic in Computer Science · Computer Science 2021-03-30 Manuel Gieseking , Jesko Hecking-Harbusch , Ann Yanich

Distribution system end users are transforming from passive to active participants, marked by the push towards widespread adoption of edge-level Distributed Energy Resources (DERs). This paper addresses the challenges in distribution system…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Arun Kumar Karngala , Chanan Singh , Le Xie

Our objective is to design a controlled system with a simple method for discrete event systems based on Petri nets. It is possible to construct the Petri net model of a system and the specification separately. By synchronous composition of…

Information Theory · Computer Science 2009-01-28 Abbas Dideban , Hassane. Alla

Petri Nets are an increasingly used modeling framework for the spread of disease across populations or within an individual. For example, the Susceptible-Infectious-Recovered (SIR) compartment model is foundational for population…

Other Quantitative Biology · Quantitative Biology 2025-07-02 Trevor Reckell , Bright Kwaku Manu , Beckett Sterner , Petar Jevtić , Reggie Davidrajuh

We present ProbReach, a tool for verifying probabilistic reachability for stochastic hybrid systems, i.e., computing the probability that the system reaches an unsafe region of the state space. In particular, ProbReach will compute an…

Logic in Computer Science · Computer Science 2015-03-06 Fedor Shmarov , Paolo Zuliani

The last decade has witnessed an increasing transformation in the design, engineering, and mining of processes, moving from a pure control-flow perspective to more integrated models where also data and decisions are explicitly considered.…

Logic in Computer Science · Computer Science 2018-04-09 Massimiliano de Leoni , Paolo Felli , Marco Montali

The coverability and boundedness problems for Petri nets are known to be Expspace-complete. Given a Petri net, we associate a graph with it. With the vertex cover number k of this graph and the maximum arc weight W as parameters, we show…

Data Structures and Algorithms · Computer Science 2015-05-19 M. Praveen

The structure-property hypothesis says that the properties of all materials are determined by an underlying crystal structure. The main obstacle was the ambiguity of conventional crystal representations based on incomplete or discontinuous…

Computational Physics · Physics 2024-05-08 Jonathan Balasingham , Viktor Zamaraev , Vitaliy Kurlin

We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable. To formally model such systems, we define an extension of probabilistic timed automata in which local…

Logic in Computer Science · Computer Science 2015-06-24 Gethin Norman , David Parker , Xueyi Zou

Probabilistic hyperproperties describe probabilistic relations between multiple sets of executions in a stochastic system. Prominent examples include information-theoretic characterizations of security and privacy policies. However, model…

Logic in Computer Science · Computer Science 2026-04-09 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges
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