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Event structures are a well-accepted model of concurrency. In a seminal paper by Nielsen, Plotkin and Winskel, they are used to establish a bridge between the theory of domains and the approach to concurrency proposed by Petri. A basic role…

Logic in Computer Science · Computer Science 2023-06-22 Paolo Baldan , Roberto Bruni , Andrea Corradini , Fabio Gadducci , Hernan Melgratti , Ugo Montanari

We propose a framework for the specification of behaviour-preserving reconfigurations of systems modelled as Petri nets. The framework is based on open nets, a mild generalisation of ordinary Place/Transition nets suited to model open…

Logic in Computer Science · Computer Science 2015-07-01 Paolo Baldan , Andrea Corradini , Hartmut Ehrig , Reiko Heckel , Barbara König

Program verification on concurrent programs is a big challenge due to general undecidable results. Petri nets and its extensions are used in most works. However, existing verifiers based on Petri nets are difficult to be complete and…

Logic in Computer Science · Computer Science 2021-10-26 Ying Zhao , Jinhao Tan , Guoqiang Li

We propose a semi-decision procedure for checking generalized reachability properties, on generalized Petri nets, that is based on the Property Directed Reachability (PDR) method. We actually define three different versions, that vary…

Logic in Computer Science · Computer Science 2022-08-08 Nicolas Amat , Silvano Dal Zilio , Thomas Hujsa

We propose a reachability verification technique that combines the Petri net state equation (a linear algebraic overapproximation of the set of reachable states) with the concept of counterexample guided abstraction refinement. In essence,…

Logic in Computer Science · Computer Science 2015-07-01 Karsten Wolf , Harro Wimmel

The need for high-level autonomy and robustness of autonomous systems for missions in dynamic and remote environment has pushed developers to come up with new software architectures. A common architecture style is to summarize the…

Formal Languages and Automata Theory · Computer Science 2022-09-29 Baptiste Pelletier , Charles Lesire , David Doose , Karen Godary-Dejean , Charles Dramé-Maigné

This paper is devoted to the use of hybrid Petri nets (PNs) for modeling and control of hybrid dynamic systems (HDS). Modeling, analysis and control of HDS attract ever more of researchers' attention and several works have been devoted to…

Information Theory · Computer Science 2007-07-13 Latéfa Ghomri , Hassane Alla

Real-world processes operate on objects that are inter-dependent. To accurately reflect the nature of such processes, object-centric process mining techniques are needed, notably conformance checking. However, while the object-centric…

Logic in Computer Science · Computer Science 2024-04-08 Alessandro Gianola , Marco Montali , Sarah Winkler

When checking concurrent software using a finite-state model, we face a formidable state explosion problem. One solution to this problem is dependence-based program slicing, whose use can effectively reduce verification time. It is…

Software Engineering · Computer Science 2023-11-16 Zhijun Ding , Shuo Li , Cheng Chen , Cong He

We investigate bisimulation equivalence on Petri nets under durational semantics. Our motivation was to verify the conjecture that in durational setting, the bisimulation equivalence checking problem becomes more tractable than in ordinary…

Computational Complexity · Computer Science 2015-06-29 Slawomir Lasota , Marcin Poturalski

Petri Net is a formalism to describe changes between 2 or more states across discrete time and has been used to model many systems. We present PNet - a pure Python library for Petri Net modeling and simulation in Python programming…

Mathematical Software · Computer Science 2023-02-24 Zhu En Chay , Bing Feng Goh , Maurice HT Ling

Process models are used by human analysts to model and analyse behaviour, and by machines to verify properties such as soundness, liveness or other reachability properties, and to compare their expressed behaviour with recorded behaviour…

Machine Learning · Computer Science 2022-03-22 Sander J. J. Leemans

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

In many complex systems that can be modeled using Petri nets time can be a very important factor which should be taken into account during creation and analysis of the model. Time data can describe starting moments of some actions or their…

Formal Languages and Automata Theory · Computer Science 2024-05-16 Marcin Radom , Piotr Formanowicz

We introduce a technique for reachability analysis of Time-Basic (TB) Petri nets, a powerful formalism for real- time systems where time constraints are expressed as intervals, representing possible transition firing times, whose bounds are…

Software Engineering · Computer Science 2011-07-07 Carlo Bellettini , Lorenzo Capra

We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

The lack of trust in algorithms is usually an issue when using Reinforcement Learning (RL) agents for control in real-world domains such as production plants, autonomous vehicles, or traffic-related infrastructure, partly due to the lack of…

Machine Learning · Computer Science 2024-07-08 Timon Sachweh , Pierre Haritz , Thomas Liebig

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

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