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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…

Logic in Computer Science · Computer Science 2018-07-10 Bernard Berthomieu , Didier Le Botlan , Silvano Dal Zilio

The integrated management of business processes and mas- ter data is being increasingly considered as a fundamental problem, by both the academia and the industry. In this position paper, we focus on the foundations of the problem, arguing…

Databases · Computer Science 2016-11-14 Marco Montali , Andrey Rivkin

In a previous paper we introduced immediate observation Petri nets, a subclass of Petri nets with application domains in distributed protocols (population protocols) and theoretical chemistry (chemical reaction networks). IO nets enjoy many…

Logic in Computer Science · Computer Science 2020-10-09 Michael Raskin , Chana Weil-Kennedy

Data-aware processes represent and integrate structural and behavioural constraints in a single model, and are thus increasingly investigated in business process management and information systems engineering. In this spectrum, Data Petri…

Logic in Computer Science · Computer Science 2022-03-29 Paolo Felli , Marco Montali , Sarah Winkler

N-PAT is a new model-checking tool that supports the verification of nested-models, i.e. models whose behaviour depends on the results of verification tasks. In this paper, we describe its operation and discuss mechanisms that are tailored…

Discrete Mathematics · Computer Science 2020-05-13 Hadrien Bride , Cheng-Hao Cai , Jin Song Dong , Rajeev Gore , Zhé Hóu , Brendan Mahony , Jim McCarthy

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

It is well established that resource failure, including robots and machines, in a manufacturing system can result in deadlocks. This issue not only hampers the system's performance but can also inflict significant damage on the…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmad Bagheri , Mohammadhossein Aghaazizi , Ali Doustmohammadi

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…

Logic in Computer Science · Computer Science 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

In order to speed up the synthesis of Petri nets from labelled transition systems, a divide and conquer strategy consists in defining decompositions of labelled transition systems, such that each component is synthesisable iff so is the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers

We consider timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Our cost model assigns token storage…

Logic in Computer Science · Computer Science 2013-02-15 Parosh Aziz Abdulla , Richard Mayr

Upgradation of Programmable Logic Controller (PLC) software is quite common to accommodate evolving industrial requirements. Verifying the correctness of such upgrades remains a significant challenge. In this paper, we propose a…

Software Engineering · Computer Science 2025-09-09 Soumyadip Bandyopadhyay , Santonu Sarkar

This paper addresses the problem of forbidden states of non safe Petri Net (PN) modelling discrete events systems. To prevent the forbidden states, it is possible to use conditions or predicates associated with transitions. Generally, there…

Logic in Computer Science · Computer Science 2010-04-26 Abbas Dideban , Hassane Alla

This paper addresses the problem of forbidden states of non safe Petri Net (PN) modelling discrete events systems. To prevent the forbidden states, it is possible to use conditions or predicates associated with transitions. Generally, there…

Information Theory · Computer Science 2009-03-25 Abbas Dideban , Hassane Alla

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…

Logic in Computer Science · Computer Science 2007-05-23 Guillaume Gardey , Olivier H. Roux , Olivier F. Roux

Assigning a satisfactory truly concurrent semantics to Petri nets with confusion and distributed decisions is a long standing problem, especially if one wants to resolve decisions by drawing from some probability distribution. Here we…

Logic in Computer Science · Computer Science 2023-06-22 Roberto Bruni , Hernán Melgratti , Ugo Montanari

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…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Eric Lubat , Pierre-Emmanuel Hladik , Yoann Mateu , Rémi Sauvère

We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

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

We consider Dense-Timed Petri Nets (TPN), an extension of Petri nets in which each token is equipped with a real-valued clock and where the semantics is lazy (i.e., enabled transitions need not fire; time can pass and disable transitions).…

Logic in Computer Science · Computer Science 2017-01-11 Parosh Abdulla , Pritha Mahata , Richard Mayr

Unordered data Petri nets (UDPN) are an extension of classical Petri nets with tokens that carry data from an infinite domain and where transitions may check equality and disequality of tokens. UDPN are well-structured, so the coverability…

Formal Languages and Automata Theory · Computer Science 2019-02-18 Utkarsh Gupta , Preey Shah , S. Akshay , Piotr Hofman