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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

Process mining is concerned with deriving formal models capable of reproducing the behaviour of a given organisational process by analysing observed executions collected in an event log. The elements of an event log are finite sequences…

Databases · Computer Science 2024-07-03 Pierre Cry , András Horváth , Paolo Ballarini , Pascal Le Gall

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 present a process semantics for the purely additive fragment of linear logic in which formulas denote protocols and (equivalence classes of) proofs denote multi-channel concurrent processes. The polycategorical model induced by this…

Category Theory · Mathematics 2010-03-03 C. A. Pastro

Solutions proposed for the longstanding problem of automatic decomposition of Petri nets into concurrent processes, as well as methods developed in Grenoble for the automatic conversion of safe Petri nets to NUPNs (Nested-Unit Petri Nets),…

Logic in Computer Science · Computer Science 2021-01-22 Hubert Garavel

In this paper, we explore a multi-task semantic communication (SemCom) system for distributed sources, extending the existing focus on collaborative single-task execution. We build on the cooperative multi-task processing introduced in [1],…

Signal Processing · Electrical Eng. & Systems 2025-06-11 Ahmad Halimi Razlighi , Maximilian H. V. Tillmann , Edgar Beck , Carsten Bockelmann , Armin Dekorsy

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

The scenario-based specification of a large distributed system is usually naturally decomposed into various modules. The integration of specification modules contrasts to the parallel composition of program components, and includes various…

Programming Languages · Computer Science 2012-10-09 Guoxin Su , Mingsheng Ying , Chengqi Zhang

Petri nets are a well-known model of concurrency and provide an ideal setting for the study of fundamental aspects in concurrent systems. Despite their simplicity, they still lack a satisfactory causally reversible semantics. We develop…

Logic in Computer Science · Computer Science 2023-06-22 Hernán Melgratti , Claudio Antares Mezzina , Irek Ulidowski

For optimal placement and orchestration of network services, it is crucial that their structure and semantics are specified clearly and comprehensively and are available to an orchestrator. Existing specification approaches are either…

Networking and Internet Architecture · Computer Science 2018-08-15 Stefan Schneider , Arnab Sharma , Holger Karl , Heike Wehrheim

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

Petri nets provide accurate analogues to chemical reaction networks, with places representing individual molecules (the resources of the system) and transitions representing chemical reactions which convert educt molecules into product…

Discrete Mathematics · Computer Science 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle

The pi-calculus is a widely used process calculus, which models communications between processes and allows the passing of communication links. Various operational semantics of the pi-calculus have been proposed, which can be classified…

Formal Languages and Automata Theory · Computer Science 2020-04-14 Eva Graversen , Iain Phillips , Nobuko Yoshida

Object-centric process mining investigates the intertwined behavior of multiple objects in business processes. From object-centric event logs, object-centric Petri nets (OCPN) can be discovered to replay the behavior of processes accessing…

Logic in Computer Science · Computer Science 2025-08-26 Anjo Seidel , Sarah Winkler , Alessandro Gianola , Marco Montali , Mathias Weske

While distributed systems with transfer of processes have become pervasive, methods for reasoning about their behaviour are underdeveloped. In this paper we propose a bisimulation technique for proving behavioural equivalence of such…

Logic in Computer Science · Computer Science 2011-05-09 Adrien Piérard , Eijiro Sumii

In 1987 Ernst-R\"udiger Olderog provided an operational Petri net semantics for a subset of CCSP, the union of Milner's CCS and Hoare's CSP. It assigns to each process term in the subset a labelled, safe place/transition net. To demonstrate…

Logic in Computer Science · Computer Science 2015-09-22 Rob van Glabbeek

Since the very beginning of the theory of linear logic it is known how to represent the $\lambda$-calculus as linear logic proof nets. The two systems however have different granularities, in particular proof nets have an explicit notion of…

Logic in Computer Science · Computer Science 2018-08-13 Beniamino Accattoli

Operational semantics has established itself as a flexible but rigorous means to describe the meaning of programming languages. Oftentimes, it is felt necessary to keep a semantics small, for example to facilitate its use for model checking…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-17 Benjamin Morandi , Sebastian Nanz , Bertrand Meyer

Asynchronous programming is a ubiquitous systems programming idiom to manage concurrent interactions with the environment. In this style, instead of waiting for time-consuming operations to complete, the programmer makes a non-blocking call…

Logic in Computer Science · Computer Science 2015-03-17 Pierre Ganty , Rupak Majumdar

We describe a process calculus featuring high level constructs for component-oriented programming in a distributed setting. We propose an extension of the higher-order pi-calculus intended to capture several important mechanisms related to…

Programming Languages · Computer Science 2009-09-04 Daniel Hirschkoff , Aurélien Pardon , Tom Hirschowitz , Samuel Hym , Damien Pous