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We introduce a novel technique for checking reachability in Petri nets that relies on a recently introduced compositional algebra of nets. We prove that the technique is correct, and discuss our implementation. We report promising…

Logic in Computer Science · Computer Science 2014-04-22 Paweł Sobocinski , Owen Stephens

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 the modelling and analysis of large, real systems, the main problem in their efficient processing is the size of the global model. One of the popular approaches that address this issue is the decomposition of such global model into much…

Multiagent Systems · Computer Science 2023-10-31 Federica Adobbati , Łukasz Mikulski

Step net bisimilarity \cite{Gor23} is a truly concurrent behavioral equivalence for finite Petri nets, which is defined as a smooth generalization of standard step bisimilarity \cite{NT84} on Petri nets, but with the property of relating…

Logic in Computer Science · Computer Science 2023-01-31 Roberto Gorrieri

In this paper, we propose a compositional approach to construct opacity-preserving finite abstractions (a.k.a symbolic models) for networks of discrete-time nonlinear control systems. Particularly, we introduce new notions of simulation…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Siyuan Liu , Majid Zamani

Choreography-based approaches to service composition typically assume that, after a set of services has been found which correctly play the roles prescribed by the choreography, each service respects his role. Honest services are not…

Logic in Computer Science · Computer Science 2020-04-17 Massimo Bartoletti , Tiziana Cimoli , G. Michele Pinna

Process discovery aims to discover models that can explain the behaviors of event logs extracted from information systems. While various approaches have been proposed, only a few guarantee desirable properties such as soundness and…

Databases · Computer Science 2023-01-06 Tsung-Hao Huang , Wil M. P. van der Aalst

A compositional Petri net-based semantics is given to a simple language allowing pointer manipulation and parallelism. The model is then applied to give a notion of validity to the judgements made by concurrent separation logic that…

Logic in Computer Science · Computer Science 2015-07-01 Jonathan Hayman , Glynn Winskel

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

Maintaining an acceptable level of quality of service in modern complex systems is challenging, particularly in the presence of various forms of uncertainty caused by changing execution context, unpredicted events, etc. Although…

Software Engineering · Computer Science 2020-12-04 Fatma Kachi , Chafia Bouanaka , Souheir Merkouche

We study interacting components and their compatibility with respect to synchronous and asynchronous composition. The behavior of components is formalized by I/O-transition systems. Synchronous composition is based on simultaneous execution…

Logic in Computer Science · Computer Science 2023-06-22 Rolf Hennicker , Michel Bidoit

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

Communication is an essential element of modern software, yet programming and analysing communicating systems are difficult tasks. A reason for this difficulty is the lack of compositional mechanisms that preserve relevant communication…

Logic in Computer Science · Computer Science 2022-08-10 Franco Barbanera , Ivan Lanese , Emilio Tuosto

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

Nowadays, with the emergence and the evolution of new technologies, such as e-business, a large number of companies are connected to Internet, and have proposed web services to trade. Web services as presented, are conceptually limited…

Software Engineering · Computer Science 2013-04-09 Sofiane Chemaa , Raida Elmansouri , Allaoua Chaoui

Web services growth makes the composition process a hard task to solve. This numerous interacting elements can be adequately represented by a network. Discovery and composition can benefit from the knowledge of the network structure. In…

Software Engineering · Computer Science 2013-05-02 Chantal Cherifi , Jean-Francois Santucci

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

It is well known that the complex system operation requires the use of new scientific tools and computer simulation. This paper presents a modular approach for modeling and analysis of the complex systems (in communication or transport…

Systems and Control · Computer Science 2017-04-03 Simona Iuliana Caramihai , Calin Munteanu , Janetta Culita

Interacting systems are increasingly common. Many examples pervade our everyday lives: automobiles, aircraft, defense systems, telephone switching systems, financial systems, national governments, and so on. Closer to computer science,…

Software Engineering · Computer Science 2015-04-10 Paul C. Jorgensen

Many categorical frameworks have been proposed to formalize the idea of gluing Petri nets with each other. Such frameworks model net gluings in terms of sharing of resources or synchronization of transitions. Interpretations given to these…

Category Theory · Mathematics 2023-06-28 Fabrizio Genovese , Fosco Loregian , Daniele Palombi