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Unfoldings are a well known partial-order semantics of P/T Petri nets that can be applied to various model checking or verification problems. For high-level Petri nets, the so-called symbolic unfolding generalizes this notion. A complete…

Logic in Computer Science · Computer Science 2026-04-08 Nick Würdemann , Thomas Chatain , Stefan Haar , Lukas Panneke

Transition systems (TS) and Petri nets (PN) are important models of computation ubiquitous in formal methods for modeling systems. An important problem is how to extract from a given TS a PN whose reachability graph is equivalent (with a…

Formal Languages and Automata Theory · Computer Science 2022-05-05 Viktor Teren , Jordi Cortadella , Tiziano Villa

We propose a framework to distributed diagnos- ability analysis of concurrent systems modeled with Petri nets as a collection of components synchronizing on common observable transitions, where faults can occur in several components. The…

Logic in Computer Science · Computer Science 2015-03-02 Laura Brandán-Briones , Agnes Madalinski , Hernán Ponce-de-León

This paper exploits extended Bayesian networks for uncertainty reasoning on Petri nets, where firing of transitions is probabilistic. In particular, Bayesian networks are used as symbolic representations of probability distributions,…

Artificial Intelligence · Computer Science 2020-10-01 Rebecca Bernemann , Benjamin Cabrera , Reiko Heckel , Barbara König

Software Model Checkers have shown outstanding performance improvements in recent times. Moreover, for specific use cases, formal verification techniques have shown to be highly effective, leading to a number of high-profile success…

Software Engineering · Computer Science 2017-06-14 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

In recent work, the second and third authors introduced a technique for reachability checking in 1-bounded Petri nets, based on wiring decompositions, which are expressions in a fragment of the compositional algebra of nets with boundaries.…

Logic in Computer Science · Computer Science 2013-04-12 Julian Rathke , Pawel Sobocinski , Owen Stephens

Neural networks have been widely used to solve complex real-world problems. Due to the complicate, nonlinear, non-convex nature of neural networks, formal safety guarantees for the behaviors of neural network systems will be crucial for…

Systems and Control · Computer Science 2018-02-13 Weiming Xiang , Diego Manzanas Lopez , Patrick Musau , Taylor T. Johnson

Petri networks and network models are two frameworks for the compositional design of systems of interacting entities. Here we show how to combine them using the concept of a "catalyst": an entity that is neither destroyed nor created by any…

Category Theory · Mathematics 2024-08-07 John C. Baez , John Foley , Joe Moeller

Petri nets are a mathematical language for modeling and reasoning about distributed systems. In this paper we propose an approach to Petri nets for embedding reversibility, i.e., the ability of reversing an executed sequence of operations…

Logic in Computer Science · Computer Science 2020-10-09 Anna Philippou , Kyriaki Psara

Search-based software testing (SBST) of Simulink models helps find scenarios that demonstrate that the system can reach a state that violates one of its requirements. However, many SBST techniques for Simulink models rely on requirements…

Software Engineering · Computer Science 2025-09-08 Federico Formica , Chris George , Shayda Rahmatyan , Vera Pantelic , Mark Lawford , Angelo Gargantini , Claudio Menghi

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

In the context of verification of data-aware processes (DAPs), a formal approach based on satisfiability modulo theories (SMT) has been considered to verify parameterised safety properties of so-called artifact-centric systems. This…

Artificial Intelligence · Computer Science 2021-08-30 Diego Calvanese , Alessandro Gianola , Andrea Mazzullo , Marco Montali

Spatial concurrent constraint programming (SCCP) is an algebraic model of spatial modalities in constrained-based process calculi; it can be used to reason about spatial information distributed among the agents of a system. This work…

Logic in Computer Science · Computer Science 2018-05-22 Miguel Romero , Camilo Rocha

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

We present a new model-based interpolation procedure for satisfiability modulo theories (SMT). The procedure uses a new mode of interaction with the SMT solver that we call solving modulo a model. This either extends a given partial model…

Logic in Computer Science · Computer Science 2021-06-09 Dejan Jovanović , Bruno Dutertre

One of our long term research goals is to develop systems to answer realistic questions (e.g., some mentioned in textbooks) about biological pathways that a biologist may ask. To answer such questions we need formalisms that can model…

Artificial Intelligence · Computer Science 2013-06-25 Saadat Anwar , Chitta Baral , Katsumi Inoue

High-level Petri net such as Coloured Petri Nets (CPNs) are characterised by the combination of Petri nets and a high-level programming language. In the context of CPNs and CPN Tools, the inscriptions (e.g., arc expressions and guards) are…

Software Engineering · Computer Science 2020-05-21 Faustin Ahishakiye , José Ignacio Requeno Jarabo , Lars Michael Kristensen , Volker Stolz

A similarity network is a tool for constructing belief networks for the diagnosis of a single fault. In this paper, we examine modifications to the similarity-network representation that facilitate the construction of belief networks for…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman

Elementary net systems (ENS) are the most fundamental class of Petri nets. Their synthesis problem has important applications in the design of digital hardware and commercial processes. Given a labeled transition system (TS) $A$,…

Logic in Computer Science · Computer Science 2017-11-02 Christian Rosenke , Ronny Tredup

The verification of safety properties for concurrent systems often reduces to the coverability problem for Petri nets. This problem was shown to be ExpSpace-complete forty years ago. Driven by the concurrency revolution, it has regained a…

Logic in Computer Science · Computer Science 2016-07-21 Thomas Geffroy , Jérôme Leroux , Grégoire Sutre