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Leroux has proved that unreachability in Petri nets can be witnessed by a Presburger separator, i.e. if a marking $\vec{m}_\text{src}$ cannot reach a marking $\vec{m}_\text{tgt}$, then there is a formula $\varphi$ of Presburger arithmetic…

Logic in Computer Science · Computer Science 2024-08-07 Michael Blondin , Javier Esparza

In many complex systems that can be modeled using Petri nets time can be a very important factor which should be taken into account during creation and analysis of the model. Time data can describe starting moments of some actions or their…

Formal Languages and Automata Theory · Computer Science 2024-05-16 Marcin Radom , Piotr Formanowicz

Learning-enabled planning and control algorithms are increasingly popular, but they often lack rigorous guarantees of performance or safety. We introduce an algorithm for computing underapproximate backward reachable sets of nonlinear…

Artificial Intelligence · Computer Science 2025-05-07 Chelsea Sidrane , Jana Tumova

This work provides a framework for a workspace aware online grasp planner. This framework greatly improves the performance of standard online grasp planning algorithms by incorporating a notion of reachability into the online grasp planning…

Robotics · Computer Science 2018-07-02 Iretiayo Akinola , Jacob Varley , Boyuan Chen , Peter K. Allen

In Nature, the primary goal of any network is to survive. This is less obvious for engineering networks (electric power, gas, water, transportation systems etc.) that are expected to operate under normal conditions most of time. As a…

Physics and Society · Physics 2020-10-02 Svetlana V. Poroseva

The recent years have seen remarkable progress in establishing the complexity of the reachability problem for vector addition systems with states (VASS), equivalently known as Petri nets. Existing work primarily considers the case in which…

Formal Languages and Automata Theory · Computer Science 2023-10-26 Andrei Draghici , Christoph Haase , Andrew Ryzhikov

Over-approximating the reachable sets of dynamical systems is a fundamental problem in safety verification and robust control synthesis. The representation of these sets is a key factor that affects the computational complexity and the…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Taha Entesari , Mahyar Fazlyab

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

Updating machine learning models with new information usually improves their predictive performance, yet, in many applications, it is also desirable to avoid changing the model predictions too much. This property is called stability. In…

Machine Learning · Computer Science 2024-02-22 Morten Blørstad , Berent Å. S. Lunde , Nello Blaser

A set of configurations $H$ is a home-space for a set of configurations $X$ of aPetri net if every configuration reachable from (any configuration in) $X$ can reach (some configuration in) $H$. The semilinear home-space problem for Petri…

Logic in Computer Science · Computer Science 2024-12-18 Petr Jančar , Jérôme Leroux

Achieving invariance to nuisance transformations is a fundamental challenge in the construction of robust and reliable vision systems. Existing approaches to invariance scale exponentially with the dimension of the family of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Sam Buchanan , Jingkai Yan , Ellie Haber , John Wright

We present the SER modeling language for automatically verifying serializability of concurrent programs, i.e., whether every concurrent execution of the program is equivalent to some serial execution. SER programs are suitably restricted to…

Formal Languages and Automata Theory · Computer Science 2026-01-21 Guy Amir , Mark Barbone , Nicolas Amat , Jules Jacobs

In this paper, we explore the unique modality of sketch for explainability, emphasising the profound impact of human strokes compared to conventional pixel-oriented studies. Beyond explanations of network behavior, we discern the genuine…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Hmrishav Bandyopadhyay , Pinaki Nath Chowdhury , Ayan Kumar Bhunia , Aneeshan Sain , Tao Xiang , Yi-Zhe Song

Automating configuration is the key path to achieving zero-touch network management in ever-complicating mobile networks. Deep learning techniques show great potential to automatically learn and tackle high-dimensional networking problems.…

Networking and Internet Architecture · Computer Science 2023-02-08 Yuru Zhang , Yongjie Xue , Qiang Liu , Nakjung Choi , Tao Han

In complex multi-agent systems involving heterogeneous teams, uncertainty arises from numerous sources like environmental disturbances, model inaccuracies, and changing tasks. This causes planned trajectories to become infeasible, requiring…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Neelanga Thelasingha , Agung Julius , James Humann , James Dotterweich

In this paper, we provide a new scheme for approximating the weakly efficient solution set for a class of vector optimization problems with rational objectives over a feasible set defined by finitely many polynomial inequalities. More…

Optimization and Control · Mathematics 2022-05-26 Feng Guo , Liguo Jiao

The reliability of the electric grid has in recent years become a larger concern for regulators, planners, and consumers due to several high-impact outage events, as well as the potential for even more impactful events in the future. These…

Systems and Control · Electrical Eng. & Systems 2024-12-03 Gabriel Mantegna , Ziting Huang , Guillaume Van Caelenberg , Bethany Frew , Muireann Lynch , Mark O'Malley

Modern cyber-physical systems are becoming increasingly complex to model, thus motivating data-driven techniques such as reinforcement learning (RL) to find appropriate control agents. However, most systems are subject to hard constraints…

One often wishes for the ability to formally analyze large-scale systems---typically, however, one can either formally analyze a rather small system or informally analyze a large-scale system. This work tries to further close this…

Numerical Analysis · Mathematics 2020-08-06 Matthias Althoff

The feasibility-seeking approach provides a systematic scheme to manage and solve complex constraints for continuous problems, and we explore it for the floorplanning problems with increasingly heterogeneous constraints. The classic…

Optimization and Control · Mathematics 2023-04-17 Shan Yu , Yair Censor , Ming Jiang , Guojie Luo