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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…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Zhou He , Ning Li , Ning Ran , Liang Li

We propose and investigate probabilistic guarantees for the adversarial robustness of classification algorithms. While traditional formal verification approaches for robustness are intractable and sampling-based approaches do not provide…

Machine Learning · Computer Science 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra

Place/transition Petri nets are a standard model for a class of distributed systems whose reachability spaces might be infinite. One of well-studied topics is the verification of safety and liveness properties in this model; despite the…

Logic in Computer Science · Computer Science 2016-08-09 Petr Jancar

By incorporating aspects of coordination and collaboration, workflow implementations of information systems require a sound conceptualisation of \EM{business processing} semantics. Traditionally, the success of conceptual modelling…

Other Computer Science · Computer Science 2021-05-27 Alistair P. Barros , Arthur H. M. ter Hofstede , Henderik A. Proper , Peter N. Creasy

SMPT (for Satisfiability Modulo Petri Net) is a model checker for reachability problems in Petri nets. It started as a portfolio of methods to experiment with symbolic model checking, and was designed to be easily extended. Some distinctive…

Logic in Computer Science · Computer Science 2023-03-01 Nicolas Amat , Silvano Dal Zilio

Formal verification of neural networks is essential before their deployment in safety-critical applications. However, existing methods for formally verifying neural networks are not yet scalable enough to handle practical problems under…

Machine Learning · Computer Science 2025-07-08 Tobias Ladner , Matthias Althoff

Negotiation diagrams are a model of concurrent computation akin to workflow Petri nets. Deterministic negotiation diagrams, equivalent to the much studied and used free-choice workflow Petri nets, are surprisingly amenable to verification.…

Logic in Computer Science · Computer Science 2017-04-14 Javier Esparza , Anca Muscholl , Igor Walukiewicz

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

Workflow graphs extend classical flow charts with concurrent fork and join nodes. They constitute the core of business processing languages such as BPMN or UML Activity Diagrams. The activities of a workflow graph are executed by humans or…

Logic in Computer Science · Computer Science 2018-02-23 Philipp J. Meyer , Javier Esparza , Hagen Völzer

We study generalized fixed-point equations over idempotent semirings and provide an efficient algorithm for the detection whether a sequence of Kleene's iterations stabilizes after a finite number of steps. Previously known approaches…

Data Structures and Algorithms · Computer Science 2009-01-06 Morten Kühnrich , Stefan Schwoon , Jiří Srba , Stefan Kiefer

This paper presents the benefits of formal modelling and verification techniques for self-stabilising distributed algorithms. An algorithm is studied, that takes a set of processes connected by a tree topology and converts it to a ring…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-18 Camille Coti , Charles Lakos , Laure Petrucci

The Partially Ordered Workflow Language (POWL) has recently emerged as a process modeling notation, offering strong quality guarantees and high expressiveness. However, its adoption is hindered by the prevalence of standard notations like…

Logic in Computer Science · Computer Science 2025-09-22 Humam Kourani , Gyunam Park , Wil van der Aalst

In this paper we propose two new subclasses of Petri nets with resets, for which the reachability and coverability problems become tractable. Namely, we add an acyclicity condition that only applies to the consumptions and productions, not…

Formal Languages and Automata Theory · Computer Science 2023-11-07 Dmitry Chistikov , Wojciech Czerwiński , Piotr Hofman , Filip Mazowiecki , Henry Sinclair-Banks

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…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Recent advances in the field of Business Process Management have brought about several suites able to model complex data objects along with the traditional control flow perspective. Nonetheless, when it comes to formal verification there is…

Artificial Intelligence · Computer Science 2025-07-25 Riccardo De Masellis , Chiara Di Francescomarino , Chiara Ghidini , Sergio Tessaris

Petri nets are an established graphical formalism for modeling and analyzing the behavior of systems. An important consideration of the value of Petri nets is their use in describing both the syntax and semantics of modeling formalisms.…

Software Engineering · Computer Science 2018-10-24 Sabah Al-Fedaghi , Dana Shbeeb

The Partially Ordered Workflow Language (POWL) has recently emerged as a process modeling notation, offering strong quality guarantees and high expressiveness. While early versions of POWL relied on strict block-structured operators for…

Databases · Computer Science 2026-04-27 Humam Kourani , Gyunam Park , Wil M. P. van der Aalst

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

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

Since their recent introduction, process trees have been frequently used as a process modeling formalism in many process mining algorithms. A process tree is a tree-based model of a process, in which internal vertices represent behavioral…

Logic in Computer Science · Computer Science 2020-11-04 Sebastiaan J. van Zelst