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We investigate the complexity of the reachability problem for (deep) neural networks: does it compute valid output given some valid input? It was recently claimed that the problem is NP-complete for general neural networks and…

Computational Complexity · Computer Science 2026-04-08 Marco Sälzer , Martin Lange

In this work, we analyze an efficient sampling-based algorithm for general-purpose reachability analysis, which remains a notoriously challenging problem with applications ranging from neural network verification to safety analysis of…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Thomas Lew , Lucas Janson , Riccardo Bonalli , Marco Pavone

Regular model checking is a well-established technique for the verification of regular transition systems (RTS): transition systems whose initial configurations and transition relation can be effectively encoded as regular languages. In…

Formal Languages and Automata Theory · Computer Science 2025-06-24 Javier Esparza , Valentin Krasotin

Hierarchical Petri nets allow a more abstract view and reconfigurable Petri nets model dynamic structural adaptation. In this contribution we present the combination of reconfigurable Petri nets and hierarchical Petri nets yielding…

Discrete Mathematics · Computer Science 2018-02-14 Julia Padberg

Conformance checking techniques aim to provide diagnostics on the conformity between process models and event data. Conventional methods, such as trace alignments, assume strict total ordering of events, leading to inaccuracies when…

Databases · Computer Science 2025-04-08 Ariba Siddiqui , Wil M. P. van der Aalst , Daniel Schuster

Critical observability is a property of cyber-physical systems to detect whether the current state belongs to a set of critical states. In safety-critical applications, critical states model operations that may be unsafe or of a particular…

Systems and Control · Computer Science 2019-04-18 Tomáš Masopust

Real-world processes operate on objects that are inter-dependent. To accurately reflect the nature of such processes, object-centric process mining techniques are needed, notably conformance checking. However, while the object-centric…

Logic in Computer Science · Computer Science 2024-04-08 Alessandro Gianola , Marco Montali , Sarah Winkler

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

Formal verification techniques such as model checking, are becoming popular in hardware design. SAT-based model checking techniques such as IC3/PDR, have gained a significant success in hardware industry. In this paper, we present a new…

Logic in Computer Science · Computer Science 2017-12-22 Jianwen Li , Shufang Zhu , Yueling Zhang , Geguang Pu , Moshe Vardi

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

Artificial Intelligence · Computer Science 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

We associate a graph with a 1-safe Petri net and study the parameterized complexity of various problems with parameters derived from the graph. With treewidth as the parameter, we give W[1]-hardness results for many problems about 1-safe…

Logic in Computer Science · Computer Science 2011-06-13 M. Praveen , Kamal Lodaya

We present a general framework for applying machine-learning algorithms to the verification of Markov decision processes (MDPs). The primary goal of these techniques is to improve performance by avoiding an exhaustive exploration of the…

Building smart grid for power system is a major challenge for safe, automated and energy efficient usage of electricity. The full implementation of the smart grid will evolve over time. However, before a new set of infrastructures are…

Other Computer Science · Computer Science 2011-08-23 Amrita Dey , Nabendu Chaki , Sugata Sanyal

We introduce {\omega}-Petri nets ({\omega}PN), an extension of plain Petri nets with {\omega}-labeled input and output arcs, that is well-suited to analyse parametric concurrent systems with dynamic thread creation. Most techniques (such as…

Logic in Computer Science · Computer Science 2013-01-29 Gilles Geeraerts , Alexander Heußner , M. Praveen , Jean-François Raskin

The Douglas-Rachford (DR) method is a widely used method for finding a point in the intersection of two closed convex sets (feasibility problem). However, the method converges weakly and the associated rate of convergence is hard to analyze…

Optimization and Control · Mathematics 2024-01-10 Deren Han , Yansheng Su , Jiaxin Xie

This paper presents a set of algorithms for computing the reachability graph of Petri Net Product Lines (PNPLs). These algorithms address the combined challenges of concurrency and variability that arise from product-line configurations.…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Elena Gómez-Martínez , José Ignacio Requeno Jarabo

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

IC3 has been a leap forward in symbolic model checking. This paper proposes PrIC3 (pronounced pricy-three), a conservative extension of IC3 to symbolic model checking of MDPs. Our main focus is to develop the theory underlying PrIC3.…

Logic in Computer Science · Computer Science 2020-05-19 Kevin Batz , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja , Philipp Schröer

Data-driven reachability analysis computes over-approximations of reachable sets directly from noisy data. Existing deterministic methods require either known noise bounds or system-specific structural parameters such as Lipschitz…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yanliang Huang , Zhen Zhang , Peng Xie , Zhuoqi Zeng , Amr Alanwar

This paper addresses the problem of forbidden states for safe Petri net modeling discrete event systems. We present an efficient method to construct a controller. A set of linear constraints allow forbidding the reachability of specific…

Information Theory · Computer Science 2009-04-06 Abbas Dideban , M. Zareiee , Hassane Alla
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