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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

Contracts are a well-established approach for describing and analyzing behavioral aspects of web service compositions. The theory of contracts comes equipped with a notion of compatibility between clients and servers that ensures that every…

Programming Languages · Computer Science 2011-01-26 Maria Grazia Buscemi , Hernán Melgratti

We show how a particular variety of hierarchical nets, where the firing of a transition in the parent net must correspond to an execution in some child net, can be modelled utilizing a functorial semantics from a free category --…

Category Theory · Mathematics 2021-12-22 Fabrizio Romano Genovese , Jelle Herold , Fosco Loregian , Daniele Palombi

Asynchronously communicating pushdown systems (ACPS) that satisfy the empty-stack constraint (a pushdown process may receive only when its stack is empty) are a popular decidable model for recursive programs with asynchronous atomic…

Logic in Computer Science · Computer Science 2015-01-20 Jonathan Kochems , C. -H. Luke Ong

We formalise a general concept of distributed systems as sequential components interacting asynchronously. We define a corresponding class of Petri nets, called LSGA nets, and precisely characterise those system specifications which can be…

Logic in Computer Science · Computer Science 2015-07-01 Rob J. van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

The mathematical formalisms used to model biological systems induce both latent and ambiguous assumptions that can limit or distort their representational capabilities. Developing formalisms that can represent systems more precisely is…

Quantitative Methods · Quantitative Biology 2026-05-25 Léo Diaz , Sean T. Vittadello , Michael P. H. Stumpf

Petri Net is a formalism to describe changes between 2 or more states across discrete time and has been used to model many systems. We present PNet - a pure Python library for Petri Net modeling and simulation in Python programming…

Mathematical Software · Computer Science 2023-02-24 Zhu En Chay , Bing Feng Goh , Maurice HT Ling

We formalise a general concept of distributed systems as sequential components interacting asynchronously. We define a corresponding class of Petri nets, called LSGA nets, and precisely characterise those system specifications which can be…

Logic in Computer Science · Computer Science 2012-07-17 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

Scheduling communication traffic in networks of event-triggered control (ETC) systems is challenging, as their sampling times are unknown, hindering application of ETC in networks. In previous work, finite-state abstractions were created,…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Giannis Delimpaltadakis , Manuel Mazo

The concept of structured occurrence nets is an extension of that of occurrence nets which are directed acyclic graphs that represent causality and concurrency information concerning a single execution of a distributed system. The formalism…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Mohammed Alahmadi , Salma Alharbi , Talal Alharbi , Nadiyah Almutairi , Tuwailaa Alshammari , Anirban Bhattacharyya , Maciej Koutny , Bowen Li , Brian Randell

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

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 description of the dynamics of complex systems, in particular the capture of the interaction structure and causal relationships between elements of the system, is one of the central questions of interdisciplinary research. While the…

Machine Learning · Statistics 2025-04-30 Jakub Kořenek , Pavel Sanda , Jaroslav Hlinka

In this paper we focus on concurrent processes built on synchronization by means of futures. This concept is an abstraction for processes based on a main execution thread but allowing to delay some computations. The structure of a general…

Discrete Mathematics · Computer Science 2018-03-05 Olivier Bodini , Matthieu Dien , Antoine Genitrini , Alfredo Viola

Modelling, specifying and reasoning about complex systems requires to process in an integrated fashion declarative and procedural aspects of the target domain. The paper reports on an experiment conducted with a propositional version of…

Artificial Intelligence · Computer Science 2020-08-04 Giovanni Sileno

Reversible computations constitute an unconventional form of computing where any sequence of performed operations can be undone by executing in reverse order at any point during a computation. It has been attracting increasing attention as…

Computation and Language · Computer Science 2023-06-22 Kamila Barylska , Anna Gogolińska

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

A wide variety of models for concurrent programs has been proposed during the past decades, each one focusing on various aspects of computations: trace equivalence, causality between events, conflicts and schedules due to resource accesses,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-12 Eric Goubault , Samuel Mimram

Humans are adept at uncovering abstract associations in the world around them, yet the underlying mechanisms remain poorly understood. Intuitively, learning the higher-order structure of statistical relationships should involve complex…

Neurons and Cognition · Quantitative Biology 2020-03-26 Christopher W. Lynn , Ari E. Kahn , Nathaniel Nyema , Danielle S. Bassett

Consider finitely many nets of multivariate c\`adl\`ag stochastic processes. We show that the vectors consisting of the respective minimizing points converge in distribution to a random closed set. This set is given as a cartesian product…

Probability · Mathematics 2025-12-09 Dietmar Ferger , Niklas Rosar