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Workflow nets are a popular variant of Petri nets that allow for algorithmic formal analysis of business processes. The central decision problems concerning workflow nets deal with soundness, where the initial and final configurations are…

Logic in Computer Science · Computer Science 2022-01-17 Michael Blondin , Filip Mazowiecki , Philip Offtermatt

Workflow nets are a well-established variant of Petri nets for the modeling of process activities such as business processes. The standard correctness notion of workflow nets is soundness, which comes in several variants. Their decidability…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Michael Blondin , Alain Finkel , Piotr Hofman , Filip Mazowiecki , Philip Offtermatt

Recently introduced Petri net-based formalisms advocate the importance of proper representation and management of case objects as well as their co-evolution. In this work we build on top of one of such formalisms and introduce the notion of…

Logic in Computer Science · Computer Science 2022-01-03 Irina A. Lomazova , Alexey A. Mitsyuk , Andrey Rivkin

The last decade has witnessed an increasing transformation in the design, engineering, and mining of processes, moving from a pure control-flow perspective to more integrated models where also data and decisions are explicitly considered.…

Logic in Computer Science · Computer Science 2018-04-09 Massimiliano de Leoni , Paolo Felli , Marco Montali

A process model is called sound if it always terminates properly and each model activity can occur in a process instance. Conducting soundness verification right after process design allows one to detect and eliminate design errors in a…

Logic in Computer Science · Computer Science 2025-02-18 Nikolai M. Suvorov , Irina A. Lomazova , Andrey Rivkin

In this paper, we propose a compositional approach to constructing correct formal models of information systems from correct models of interacting components. Component behavior is represented using workflow nets - a class of Petri nets.…

Logic in Computer Science · Computer Science 2022-08-03 Luca Bernardinello , Irina Lomazova , Roman Nesterov , Lucia Pomello

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…

Artificial Intelligence · Computer Science 2026-02-26 Nguyen Cong Nhat Le , John G. Rogers , Claire N. Bonial , Neil T. Dantam

We present a method for hierarchically generating sound workflow nets by substitution of nets with multiple inputs and outputs. We show that this method is correct and generalizes the class of nets generated by other hierarchical…

Formal Languages and Automata Theory · Computer Science 2013-10-02 Jacek Sroka , Jan Hidders

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

A model of an information system describes its processes and how resources are involved in these processes to manipulate data objects. This paper presents an extension to the Petri nets formalism suitable for describing information systems…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Jan Martijn E. M. van der Werf , Andrey Rivkin , Marco Montali , Artem Polyvyanyy

We propose a method for checking generalized reachability properties in Petri nets that takes advantage of structural reductions and that can be used, transparently, as a pre-processing step of existing model-checkers. Our approach is based…

Logic in Computer Science · Computer Science 2024-01-09 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

Process models are used by human analysts to model and analyse behaviour, and by machines to verify properties such as soundness, liveness or other reachability properties, and to compare their expressed behaviour with recorded behaviour…

Machine Learning · Computer Science 2022-03-22 Sander J. J. Leemans

The execution of different cases of a process is often restricted by inter-case dependencies through e.g., queueing or shared resources. Various high-level Petri net formalisms have been proposed that are able to model and analyze…

Formal Languages and Automata Theory · Computer Science 2023-04-12 Dominique Sommers , Natalia Sidorova , Boudewijn F. van Dongen

The reachability semantics for Petri nets can be studied using open Petri nets. For us an "open" Petri net is one with certain places designated as inputs and outputs via a cospan of sets. We can compose open Petri nets by gluing the…

Category Theory · Mathematics 2022-07-26 John C. Baez , Jade Master

For a large Markovian model, a "product form" is an explicit description of the steady-state behaviour which is otherwise generally untractable. Being first introduced in queueing networks, it has been adapted to Markovian Petri nets. Here…

Discrete Mathematics · Computer Science 2012-04-17 Serge Haddad , Jean Mairesse , Hoang-Thach Nguyen

Compositionality and process equivalence are both standard concepts of process algebra. Compositionality means that the behaviour of a compound system relies only on the behaviour of its components, i.e. there is no emergent behaviour.…

Logic in Computer Science · Computer Science 2016-03-04 Paweł Sobociński

Capturing stochastic behaviors in business and work processes is essential to quantitatively understand how nondeterminism is resolved when taking decisions within the process. This is of special interest in process mining, where event data…

Logic in Computer Science · Computer Science 2023-06-13 Sander J. J. Leemans , Fabrizio M. Maggi , Marco Montali

In this paper, we present a method of verification of collaborative workflow processes based on model checking techniques. In particular, we propose to verify soundness properties of these processes using SPIN model checker. First we…

Software Engineering · Computer Science 2013-06-20 Zohra Sbaï , Kamel Barkaoui

A central decision problem in Petri net theory is reachability asking whether a given marking can be reached from the initial marking. Related is the covering problem (or sub-marking reachbility), which decides whether there is a reachable…

Formal Languages and Automata Theory · Computer Science 2026-02-03 Thomas M. Prinz , Christopher T. Schwanen , Wil M. P. van der Aalst

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…

Logic in Computer Science · Computer Science 2020-10-16 Michael Blondin , Christoph Haase , Philip Offtermatt
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