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We investigate the decidability of termination, reachability, coverability and deadlock-freeness of Petri nets endowed with a hierarchy on places, and with inhibitor arcs, reset arcs and transfer arcs that respect this hierarchy. We also…

Logic in Computer Science · Computer Science 2017-07-06 S. Akshay , Supratik Chakraborty , Ankush Das , Vishal Jagannath , Sai Sandeep

We investigate the problem of construction of small-size universal Petri nets with inhibitor arcs. We consider four descriptional complexity parameters: the number of places, transitions, inhibitor arcs, and the maximal degree of a…

Formal Languages and Automata Theory · Computer Science 2013-12-17 Sergiu Ivanov , Elisabeth Pelz , Sergey Verlan

In a live and bounded Free Choice Petri net, pick a non-conflicting transition. Then there exists a unique reachable marking in which no transition is enabled except the selected one. For a routed live and bounded Free Choice net, this…

Other Computer Science · Computer Science 2007-07-31 Bruno Gaujal , Stefan Haar , Jean Mairesse

Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

Logic in Computer Science · Computer Science 2021-11-17 Lorenzo Capra

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

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

Linear constraint transformation is an essential step to solve the forbidden state problem in Petri nets that contain uncontrollable transitions. This work studies the equivalent transformation from a legal-marking set to its…

Formal Languages and Automata Theory · Computer Science 2015-01-21 ShouGuang Wang , Dan You , MengChu Zhou , Carla Seatsu

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

We define an extension of time Petri nets such that the time at which a transition can fire, also called its firing date, may be dynamically updated. Our extension provides two mechanisms for updating the timing constraints of a net. First,…

Logic in Computer Science · Computer Science 2014-09-16 Silvano Dal Zilio , Lukasz Fronc , Bernard Berthomieu , François Vernadat

We consider priced timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Furthermore, our cost model…

Logic in Computer Science · Computer Science 2015-07-01 Richard M. Mayr , Parosh Aziz Abdulla

Low-level embedded systems are used to control cyber-phyiscal systems in industrial and autonomous applications. They need to meet hard real-time requirements as unanticipated controller delays on moving machines can have devastating…

Networking and Internet Architecture · Computer Science 2022-01-04 Ilja Behnke , Philipp Wiesner , Robert Danicki , Lauritz Thamsen

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

We consider timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Our cost model assigns token storage…

Logic in Computer Science · Computer Science 2013-02-15 Parosh Aziz Abdulla , Richard Mayr

Petri nets and their variants are often considered through their interleaved semantics, i.e. considering executions where, at each step, a single transition fires. This is clearly a miss, as Petri nets are a true concurrency model. This…

Logic in Computer Science · Computer Science 2025-02-05 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Loïc Hélouët , Philipp Schlehuber-Caissier

Petri nets are a formalism for modelling and reasoning about the behaviour of distributed systems. Recently, a reversible approach to Petri nets, Reversing Petri Nets (RPN), has been proposed, allowing transitions to be reversed…

Logic in Computer Science · Computer Science 2019-05-30 Anna Philippou , Kyriaki Psara , Harun Siljak

This paper addresses the problem of forbidden states of non safe Petri Net (PN) modelling discrete events systems. To prevent the forbidden states, it is possible to use conditions or predicates associated with transitions. Generally, there…

Logic in Computer Science · Computer Science 2010-04-26 Abbas Dideban , Hassane Alla

This paper addresses the problem of forbidden states of non safe Petri Net (PN) modelling discrete events systems. To prevent the forbidden states, it is possible to use conditions or predicates associated with transitions. Generally, there…

Information Theory · Computer Science 2009-03-25 Abbas Dideban , Hassane Alla

Our objective is to design a controlled system with a simple method for discrete event systems based on Petri nets. It is possible to construct the Petri net model of a system and the specification separately. By synchronous composition of…

Information Theory · Computer Science 2009-01-28 Abbas Dideban , Hassane. Alla

This paper focuses on a fundamental problem on information security of bounded labeled Petri nets: non-interference analysis. As in hierarchical control, we assume that a system is observed by users at different levels, namely high-level…

Formal Languages and Automata Theory · Computer Science 2025-10-21 Ning Ran , Zhengguang Wu , Shaokang Zhang , Zhou He , Carla Seatzu

We study discrete time linear constrained switching systems with additive disturbances, in which the switching may be on the system matrices, the disturbance sets, the state constraint sets or a combination of the above. In our general…

Systems and Control · Computer Science 2017-02-03 Nikolaos Athanasopoulos , Konstantinos Smpoukis , Raphael M. Jungers
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