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Persistence is a strong, global, behavioural property of a Petri net, meaning that no activity can disable a different activity. Persistent permutability is a weaker property, pertaining to individual interleavings of a Petri net and…

Formal Languages and Automata Theory · Computer Science 2026-01-27 Eike Best , Raymond Devillers

This paper initiates the dialectical approach to net theory. This approach views nets as special, but very important and natural, dialectical systems. By following this approach, a suitably generalized version of nets, called dialectical…

Logic in Computer Science · Computer Science 2018-10-16 Robert E. Kent

This article focuses on comparing the notions of home spaces and invariants, in Transition Systems and more particularly, in Petri Nets as well as a variety of derived Petri Nets. After recalling basic notions of Petri Nets and semiflows,…

Discrete Mathematics · Computer Science 2024-03-22 Gerard Memmi

Place/Transition Petri nets with inhibitor arcs (PTI nets for short), which are a well-known Turing-complete, distributed model of computation, are equipped with a decidable, behavioral equivalence, called pti-place bisimilarity, that…

Logic in Computer Science · Computer Science 2022-11-03 Arnaldo Cesco , Roberto Gorrieri

The place invariant method is well known as an elegant way to construct a Petri net controller. It is possible to use the constraint for preventing forbidden states. But in general case, the number forbidden states can be very large giving…

Information Theory · Computer Science 2009-04-06 Hassane. Alla

We consider approaches for causal semantics of Petri nets, explicitly representing dependencies between transition occurrences. For one-safe nets or condition/event-systems, the notion of process as defined by Carl Adam Petri provides a…

Logic in Computer Science · Computer Science 2021-03-02 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

Hierarchical Petri nets allow a more abstract view and reconfigurable Petri nets model dynamic structural adaptation. In this contribution we present the combination of reconfigurable Petri nets and hierarchical Petri nets yielding…

Discrete Mathematics · Computer Science 2018-02-14 Julia Padberg

In time Petri nets (TPNs), time and control are tightly connected: time measurement for a transition starts only when all resources needed to fire it are available. Further, upper bounds on duration of enabledness can force transitions to…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Loïc Hélouët , Pranay Agrawal

Petri nets are an established graphical formalism for modeling and analyzing the behavior of systems. An important consideration of the value of Petri nets is their use in describing both the syntax and semantics of modeling formalisms.…

Software Engineering · Computer Science 2018-10-24 Sabah Al-Fedaghi , Dana Shbeeb

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order and modal languages without labels on transitions or atomic propositions on…

Logic in Computer Science · Computer Science 2015-07-01 Philippe Darondeau , Stephane Demri , Roland Meyer , Christophe Morvan

We prove several decidability and undecidability results for nu-PN, an extension of P/T nets with pure name creation and name management. We give a simple proof of undecidability of reachability, by reducing reachability in nets with…

Logic in Computer Science · Computer Science 2010-11-18 Fernando Rosa-Velardo , David de Frutos-Escrig

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

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

Petri nets are a mathematical language for modeling and reasoning about distributed systems. In this paper we propose an approach to Petri nets for embedding reversibility, i.e., the ability of reversing an executed sequence of operations…

Logic in Computer Science · Computer Science 2020-10-09 Anna Philippou , Kyriaki Psara

The execution of an event in a complex and distributed system where the dependencies vary during the evolution of the system can be represented in many ways, and one of them is to use Context-Dependent Event structures. Event structures are…

Logic in Computer Science · Computer Science 2023-06-22 G. Michele Pinna

We prove that $\omega$-languages of (non-deterministic) Petri nets and $\omega$-languages of (non-deterministic) Turing machines have the same topological complexity: the Borel and Wadge hierarchies of the class of $\omega$-languages of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Olivier Finkel , Michał Skrzypczak

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

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

Reversible computation is an unconventional form of computing that extends the standard forward-only mode of computation with the ability to execute a sequence of operations in reverse at any point during computation. As such, in this…

Logic in Computer Science · Computer Science 2021-01-19 Kyriaki Psara

Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those involving monitoring and control, an example of…

Disordered Systems and Neural Networks · Physics 2013-09-27 Richard G. Morris , Marc Barthelemy