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We introduce a technique for reachability analysis of Time-Basic (TB) Petri nets, a powerful formalism for real- time systems where time constraints are expressed as intervals, representing possible transition firing times, whose bounds are…

软件工程 · 计算机科学 2011-07-07 Carlo Bellettini , Lorenzo Capra

Scheduling is a key decision-making process to improve the performance of flexible manufacturing systems. Place-timed Petri nets provide a formal method for graphically modeling and analyzing such systems. By generating reachability graphs…

系统与控制 · 电气工程与系统科学 2025-05-20 Zhou He , Ning Li , Ning Ran , Liang Li

Numerous tasks in program analysis and synthesis reduce to deciding reachability in possibly infinite graphs such as those induced by Petri nets. However, the Petri net reachability problem has recently been shown to require non-elementary…

计算机科学中的逻辑 · 计算机科学 2020-10-16 Michael Blondin , Christoph Haase , Philip Offtermatt

Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

计算机科学中的逻辑 · 计算机科学 2014-09-10 Matteo Camilli

Although decidable, the marking reachability problem for Petri nets is well-known to be intractable in general, and a non-elementary lower bound has been recently uncovered. In order to alleviate this difficulty, various structural and…

计算机科学中的逻辑 · 计算机科学 2020-06-11 Thomas Hujsa , Bernard Berthomieu , Silvano Dal Zilio , Didier Le Botlan

For a given labelled transition system (LTS), synthesis is the task to find an unlabelled Petri net with an isomorphic reachability graph. Even when just demanding an embedding into a reachability graph instead of an isomorphism, a solution…

计算复杂性 · 计算机科学 2020-02-20 Uli Schlachter , Harro Wimmel

Reachability analysis is a powerful tool for computing the set of states or outputs reachable for a system. While previous work has focused on systems described by state-space models, we present the first methods to compute reachable sets…

系统与控制 · 电气工程与系统科学 2023-09-29 Laura Lützow , Matthias Althoff

We propose a new method that takes advantage of structural reductions to accelerate the verification of reachability properties on Petri nets. Our approach relies on a state space abstraction, called polyhedral abstraction, which involves a…

计算机科学中的逻辑 · 计算机科学 2023-02-07 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

The theory of Petri Nets provides a general framework to specify the behaviors of real-time reactive systems and Time Petri Nets were introduced to take also temporal specifications into account. We present in this paper a forward…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Guillaume Gardey , Olivier H. Roux , Olivier F. Roux

Supply chains involve geographically distributed manufacturing and assembly sites that must be coordinated under strict timing and resource constraints. While many existing approaches rely on Colored Petri Nets to model material flows, this…

系统与控制 · 电气工程与系统科学 2026-04-07 Eric Lubat , Pierre-Emmanuel Hladik , Yoann Mateu , Rémi Sauvère

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order and modal languages without labels on transitions or atomic propositions on…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

Plans often change due to changes in the situation or our understanding of the situation. Sometimes, a feasible plan may not even exist, and identifying such infeasibilities is useful to determine when requirements need adjustment. Common…

人工智能 · 计算机科学 2026-02-26 Nguyen Cong Nhat Le , John G. Rogers , Claire N. Bonial , Neil T. Dantam

We propose a method to count the number of reachable markings of a Petri net without having to enumerate these rst. The method relies on a structural reduction system that reduces the number of places and transitions of the net in such a…

计算机科学中的逻辑 · 计算机科学 2018-07-10 Bernard Berthomieu , Didier Le Botlan , Silvano Dal Zilio

We propose a reachability verification technique that combines the Petri net state equation (a linear algebraic overapproximation of the set of reachable states) with the concept of counterexample guided abstraction refinement. In essence,…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Karsten Wolf , Harro Wimmel

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…

离散数学 · 计算机科学 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle

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…

人工智能 · 计算机科学 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-critical systems including cyber-physical systems (CPS) equipped…

系统与控制 · 电气工程与系统科学 2020-04-28 Weiming Xiang , Hoang-Dung Tran , Xiaodong Yang , Taylor T. Johnson

There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

系统与控制 · 电气工程与系统科学 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous…

系统与控制 · 计算机科学 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

Autonomous cyber-physical systems (CPS) rely on the correct operation of numerous components, with state-of-the-art methods relying on machine learning (ML) and artificial intelligence (AI) components in various stages of sensing and…

系统与控制 · 计算机科学 2018-05-28 Weiming Xiang , Taylor T. Johnson
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