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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

Workflow graphs extend classical flow charts with concurrent fork and join nodes. They constitute the core of business processing languages such as BPMN or UML Activity Diagrams. The activities of a workflow graph are executed by humans or…

Logic in Computer Science · Computer Science 2018-02-23 Philipp J. Meyer , Javier Esparza , Hagen Völzer

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

We propose a new method for accelerating the computation of a concurrency relation, that is all pairs of places in a Petri net that can be marked together. Our approach relies on a state space abstraction, that involves a mix between…

Logic in Computer Science · Computer Science 2021-06-25 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

In this work we provide algorithmic solutions to five fundamental problems concerning the verification, synthesis and correction of concurrent systems that can be modeled by bounded p/t-nets. We express concurrency via partial orders and…

Logic in Computer Science · Computer Science 2014-02-14 Mateus de Oliveira Oliveira

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

A random search process in a networked environment is governed by the time it takes to visit every node, termed the cover time. Often, a networked process does not proceed in isolation but competes with many instances of itself within the…

Optimization and Control · Mathematics 2018-06-13 Daniel B. Wilson , Ruth E. Baker , Francis G. Woodhouse

In process mining, alignments quantify the degree of deviation between an observed event trace and a business process model and constitute the most important conformance checking technique. We study the algorithmic complexity of computing…

Formal Languages and Automata Theory · Computer Science 2026-03-06 Christopher T. Schwanen , Wied Pakusa , Wil M. P. van der Aalst

A crucial question in analyzing a concurrent system is to determine its long-run behaviour, and in particular, whether there are irreversible choices in its evolution, leading into parts of the reachability space from which there is no…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Giann Karlo Aguirre-Samboní , Stefan Haar , Loïc Paulevé , Stefan Schwoon , Nick Würdemann

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

A crucial question in analyzing a concurrent system is to determine its long-run behaviour, and in particular, whether there are irreversible choices in its evolution, leading into parts of the reachability space from which there is no…

Formal Languages and Automata Theory · Computer Science 2024-09-04 Giann Karlo Aguirre Samboni , Stefan Haar , Loic Paulevé , Stefan Schwoon , Nick Würdemann

The manual implementation of distributed systems is an error-prone task because of the asynchronous interplay of components and the environment. Bounded synthesis automatically generates an implementation for the specification of the…

Logic in Computer Science · Computer Science 2020-04-27 Jesko Hecking-Harbusch , Niklas O. Metzger

Concurrency control (CC) algorithms are important in modern transactional databases, as they enable high performance by executing transactions concurrently while ensuring correctness. However, state-of-the-art CC algorithms struggle to…

Databases · Computer Science 2026-03-11 Hexiang Pan , Shaofeng Cai , Tien Tuan Anh Dinh , Yuncheng Wu , Yeow Meng Chee , Gang Chen , Beng Chin Ooi

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 Petri net is choice-free if any place has at most one transition in its postset (consuming its tokens) and it is (extended) free-choice (EFC) if the postsets of any two places are either equal or disjoint. Asymmetric choice (AC) extends…

Formal Languages and Automata Theory · Computer Science 2019-11-25 Harro Wimmel

Most existing process discovery techniques aim to mine models of process orchestrations that represent behavior of cases within one business process. Collaboration process discovery techniques mine models of collaboration processes that…

Formal Languages and Automata Theory · Computer Science 2024-10-11 Janik-Vasily Benzin , Stefanie Rinderle-Ma

This paper introduces negotiations, a model of concurrency close to Petri nets, with multi-party negotiations as concurrency primitive. We study two fundamental analysis problems. The soundness problem consists in deciding if it is always…

Logic in Computer Science · Computer Science 2016-12-26 Joerg Desel , Javier Esparza , Philipp Hoffmann

Anomaly detection in video streams is a challenging problem because of the scarcity of abnormal events and the difficulty of accurately annotating them. To alleviate these issues, unsupervised learning-based prediction methods have been…

Computer Vision and Pattern Recognition · Computer Science 2021-10-28 Youngsaeng Jin , Jonghwan Hong , David Han , Hanseok Ko

Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential tasks in many applications. The limitation of existing solutions…

Algebraic Topology · Mathematics 2024-06-26 Inés García-Redondo , Anthea Monod , Anna Song

Concurrency control algorithms are key determinants of the performance of in-memory databases. Existing algorithms are designed to work well for certain workloads. For example, optimistic concurrency control (OCC) is better than…

Databases · Computer Science 2021-06-16 Jiachen Wang , Ding Ding , Huan Wang , Conrad Christensen , Zhaoguo Wang , Haibo Chen , Jinyang Li
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