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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

We identify and demonstrate a weakness of Petri Nets (PN) in specifying composite behavior of reactive systems. Specifically, we show how, when specifying multiple requirements in one PN model, modelers are obliged to specify mechanisms for…

Software Engineering · Computer Science 2023-04-20 Achiya Elyasaf , Tom Yaacov , Gera Weiss

Concurrent programming is used in all large and complex computer systems. However, concurrency errors and system failures (ex: crashes and deadlocks) are common. We find that Petri nets can be used to model concurrent systems and find and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-04 Marshall Rawson , Michael Rawson

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

Developing algorithms for distributed systems is an error-prone task. Formal models like Petri nets with transits and Petri games can prevent errors when developing such algorithms. Petri nets with transits allow us to follow the data flow…

Logic in Computer Science · Computer Science 2021-03-30 Manuel Gieseking , Jesko Hecking-Harbusch , Ann Yanich

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

The increasing demand for automation and flexibility drives the widespread adoption of heterogeneous automated guided vehicles (AGVs). This work intends to investigate a new scheduling problem in a material transportation system consisting…

Systems and Control · Electrical Eng. & Systems 2025-08-04 Boyu Li , Zhengchen Li , Weimin Wu , Mengchu Zhou

Automated synthesis from behavioural specifications is an attractive and powerful way of constructing concurrent systems. Here we focus on the problem of synthesising a membrane system from a behavioural specification given in the form of a…

Logic in Computer Science · Computer Science 2012-11-20 Jetty Kleijn , Maciej Koutny , Marta Pietkiewicz-Koutny , Grzegorz Rozenberg

The purpose of this work in to demonstrate the initial results of a research project having as its goal to develop dynamic models of the brain network involved in aggressive behavior. In this way, the complex neural process correlated to…

Neurons and Cognition · Quantitative Biology 2015-03-19 Carlos B. Moreno , José-Luis. Díaz , J. H. Martínez

This paper describes a stand-alone, no-frills tool supporting the analysis of (labelled) place/transition Petri nets and the synthesis of labelled transition systems into Petri nets. It is implemented as a collection of independent,…

Logic in Computer Science · Computer Science 2015-08-21 Eike Best , Uli Schlachter

A good process model is expected not only to reflect the behavior of the process, but also to be as easy to read and understand as possible. Because preferences vary across different applications, numerous measures provide ways to reflect…

Formal Languages and Automata Theory · Computer Science 2024-08-23 Patrizia Schalk , Adam Burke , Robert Lorenz

We investigate classes of systems based on different interaction patterns with the aim of achieving distributability. As our system model we use Petri nets. In Petri nets, an inherent concept of simultaneity is built in, since when a…

Logic in Computer Science · Computer Science 2009-01-05 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

Petri nets are a popular formalism for modeling and analyzing distributed systems. Tokens in Petri net models can represent the control flow state or resources produced/consumed by transition firings. We define a resource as a part (a…

Logic in Computer Science · Computer Science 2023-06-22 Irina Lomazova , Vladimir Bashkin , Petr Jančar

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

Automated verification of living organism models allows us to gain previously unknown knowledge about underlying biological processes. In this paper, we show the benefits to use parametric time Petri nets in order to analyze precisely the…

Logic in Computer Science · Computer Science 2015-06-23 Alexander Andreychenko , Morgan Magnin , Katsumi Inoue

In complex processes, various events can happen in different sequences. The prediction of the next event given an a-priori process state is of importance in such processes. Recent methods have proposed deep learning techniques such as…

Machine Learning · Computer Science 2020-11-04 Julian Theis , Houshang Darabi

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

During the last decade, various approaches have been put forward to integrate business processes with different types of data. Each of such approaches reflects specific demands in the whole process-data integration spectrum. One particular…

Artificial Intelligence · Computer Science 2020-06-12 Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

In Petri net synthesis we ask whether a given transition system $A$ can be implemented by a Petri net $N$. Depending on the level of accuracy, there are three ways how $N$ can implement $A$: an embedding, the least accurate implementation,…

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