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This paper presents a compositional conformance checking approach between nested Petri nets and event logs of multi-agent systems. By projecting an event log onto model components, one can perform conformance checking between each projected…

Software Engineering · Computer Science 2020-03-17 Khalil Mecheraoui , Julio C. Carrasquel , Irina A. Lomazova

Petri-nets are a simple formalism for modeling concurrent computation. Recently, they have emerged as a powerful tool for the modeling and analysis of biochemical reaction networks, bridging the gap between purely qualitative and…

Computational Engineering, Finance, and Science · Computer Science 2013-04-11 Faten Nabli , François Fages , Thierry Martinez , Sylvain Soliman

Reaction networks, or equivalently Petri nets, are a general framework for describing processes in which entities of various kinds interact and turn into other entities. In chemistry, where the reactions are assigned "rate constants", any…

Mathematical Physics · Physics 2021-11-23 John C. Baez , Blake S. Pollard

In the late 1970s, C.A. Petri introduced partially ordered event occurrences (runs), then called \emph{processes}, as the appropriate model to describe the individual evolutions of distributed systems. Here, we present a unified framework…

Logic in Computer Science · Computer Science 2026-02-13 Peter Fettke , Wolfgang Reisig

In this paper the correspondence between safe Petri nets and event structures, due to Nielsen, Plotkin and Winskel, is extended to arbitrary nets without self-loops, under the collective token interpretation. To this end we propose a more…

Logic in Computer Science · Computer Science 2009-12-22 R. J. van Glabbeek , G. D. Plotkin

Applied process calculi include advanced programming constructs such as type systems, communication with pattern matching, encryption primitives, concurrent constraints, nondeterminism, process creation, and dynamic connection topologies.…

Logic in Computer Science · Computer Science 2017-01-11 Johannes Borgström , Ramūnas Gutkovas , Joachim Parrow , Björn Victor , Johannes Åman Pohjola

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

This thesis aims to develop a compositional theory for the operational semantics of networks. The networks considered are described by either internal or enriched graphs. In the internal case we focus on $\mathsf{Q}$-nets, a generalization…

Category Theory · Mathematics 2021-05-28 Jade Master

Event structures have emerged as a foundational model for concurrent computation, explaining computational processes by outlining the events and the relationships that dictate their execution. They play a pivotal role in the study of key…

Computation and Language · Computer Science 2023-12-29 Hernán Melgratti , Claudio Antares Mezzina , G. Michele Pinna

Synthesis for a type $\tau$ of Petri nets is the following search problem: For a transition system $A$, find a Petri net $N$ of type $\tau$ whose state graph is isomorphic to $A$, if there is one. To determine the computational complexity…

Logic in Computer Science · Computer Science 2019-04-03 Ronny Tredup

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

The standard operational semantics of the sequential composition operator gives rise to unbounded branching and forgetfulness when transparent process expressions are put in sequence. Due to transparency, the correspondence between…

Logic in Computer Science · Computer Science 2017-06-27 Jos Baeten , Bas Luttik , Fei Yang

The standard operational semantics of the sequential composition operator gives rise to unbounded branching and forgetfulness when transparent process expressions are put in sequence. Due to transparency, the correspondence between…

Logic in Computer Science · Computer Science 2017-09-11 Jos Baeten , Bas Luttik , Fei Yang

Algebraic Petri nets are a formalism for modeling distributed systems and algorithms, describing control and data flow by combining Petri nets and algebraic specification. One way to specify correctness of an algebraic Petri net model $N$…

Logic in Computer Science · Computer Science 2016-06-23 Marvin Triebel , Jan Sürmeli

Non-interference, in transitive or intransitive form, is defined here over unbounded (Place/Transition) Petri nets. The definitions are adaptations of similar, well-accepted definitions introduced earlier in the framework of labelled…

Cryptography and Security · Computer Science 2011-03-01 Eike Best , Philippe Darondeau , Roberto Gorrieri

It is known for decades that computer-based systems cannot be understood without a concept of modularization and decomposition. We suggest a universal, expressive, intuitively attractive composition operator for Petri nets, combined with a…

Software Engineering · Computer Science 2022-02-07 Peter Fettke , Wolfgang Reisig

In this paper we revisit some pioneering efforts to equip Petri nets with compact operational models for expressing causality. The models we propose have a bisimilarity relation and a minimal representative for each equivalence class, and…

Logic in Computer Science · Computer Science 2015-07-24 Roberto Bruni , Ugo Montanari , Matteo Sammartino

Reversible computation is an unconventional form of computing where any executed sequence of operations can be executed in reverse at any point during computation. It has recently been attracting increasing attention in various research…

Logic in Computer Science · Computer Science 2018-04-13 Anna Philippou , Kyriaki Psara

Game-theoretic characterizations of process equivalences traditionally form a central topic in concurrency; for example, most equivalences on the classical linear-time / branching-time spectrum come with such characterizations. Recent work…

Logic in Computer Science · Computer Science 2025-01-28 Jonas Forster , Lutz Schröder , Paul Wild

Recently introduced Petri net-based formalisms advocate the importance of proper representation and management of case objects as well as their co-evolution. In this work we build on top of one of such formalisms and introduce the notion of…

Logic in Computer Science · Computer Science 2022-01-03 Irina A. Lomazova , Alexey A. Mitsyuk , Andrey Rivkin