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To model check concurrent systems, it is convenient to distinguish between the data flow and the control. Correctness is specified on the level of data flow whereas the system is configured on the level of control. Petri nets with transits…

Logic in Computer Science · Computer Science 2020-07-15 Bernd Finkbeiner , Manuel Gieseking , Jesko Hecking-Harbusch , Ernst-Rüdiger Olderog

Modern networks achieve robustness and scalability by maintaining states on their nodes. These nodes are referred to as middleboxes and are essential for network functionality. However, the presence of middleboxes drastically complicates…

Programming Languages · Computer Science 2018-07-05 Kalev Alpernas , Roman Manevich , Aurojit Panda , Mooly Sagiv , Scott Shenker , Sharon Shoham , Yaron Velner

Petri nets provide accurate analogues to chemical reaction networks, with places representing individual molecules (the resources of the system) and transitions representing chemical reactions which convert educt molecules into product…

Discrete Mathematics · Computer Science 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle

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

Automated techniques for rigorous floating-point round-off error analysis are important in areas including formal verification of correctness and precision tuning. Existing tools and techniques, while providing tight bounds, fail to analyze…

Programming Languages · Computer Science 2020-07-03 Arnab Das , Ian Briggs , Ganesh Gopalakrishnan , Pavel Panchekha , Sriram Krishnamoorthy

Modeling and verifying real-world cyber-physical systems is challenging, which is especially so for complex systems where manually modeling is infeasible. In this work, we report our experience on combining model learning and abstraction…

Artificial Intelligence · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Yifan Jia , Shengchao Qin , Zhiwu Xu

We propose a compositional approach for constructing abstractions of general Markov decision processes using approximate probabilistic relations. The abstraction framework is based on the notion of $\delta$-lifted relations, using which one…

Systems and Control · Electrical Eng. & Systems 2019-08-21 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

Abstraction is a well-known approach to simplify a complex problem by over-approximating it with a deliberate loss of information. It was not considered so far in Answer Set Programming (ASP), a convenient tool for problem solving. We…

Logic in Computer Science · Computer Science 2021-07-01 Zeynep G. Saribatur , Thomas Eiter

This paper aims to enhance the computational efficiency of safety verification of neural network control systems by developing a guaranteed neural network model reduction method. First, a concept of model reduction precision is proposed to…

Machine Learning · Computer Science 2023-01-19 Weiming Xiang , Zhongzhu Shao

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

Petri nets, equivalently presentable as vector addition systems with states, are an established model of concurrency with widespread applications. The reachability problem, where we ask whether from a given initial configuration there…

Formal Languages and Automata Theory · Computer Science 2022-01-14 Sławomir Lasota

We introduce stochastic decision Petri nets (SDPNs), which are a form of stochastic Petri nets equipped with rewards and a control mechanism via the deactivation of controllable transitions. Such nets can be translated into Markov decision…

Logic in Computer Science · Computer Science 2023-03-24 Florian Wittbold , Rebecca Bernemann , Reiko Heckel , Tobias Heindel , Barbara König

A common technique for checking properties of complex state machines is to build a finite abstraction then check the property on the abstract system -- where a passing check on the abstract system is only transferred to the original system…

Logic in Computer Science · Computer Science 2020-09-30 Rob Sumners

The theory of Petri Nets provides a general framework to specify the behaviors of real-time reactive systems and Time Petri Nets were introduced to take also temporal specifications into account. We present in this paper a forward…

Logic in Computer Science · Computer Science 2007-05-23 Guillaume Gardey , Olivier H. Roux , Olivier F. Roux

Petri net synthesis consists in deciding for a given transition system $A$ whether there exists a Petri net $N$ whose reachability graph is isomorphic to $A$. Several works examined the synthesis of Petri net subclasses that restrict, for…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers , Ronny Tredup

We analyze how symmetries can be used to compress structures (also known as interpretations) onto a smaller domain without loss of information. This analysis suggests the possibility to solve satisfiability problems in the compressed domain…

Logic in Computer Science · Computer Science 2023-12-15 Pierre Carbonnelle , Gottfried Schenner , Maurice Bruynooghe , Bart Bogaerts , Marc Denecker

In this paper we propose an improvement for flowpipe-construction-based reachability analysis techniques for hybrid systems. Such methods apply iterative successor computations to pave the reachable region of the state space by state sets…

Systems and Control · Computer Science 2017-07-18 Stefan Schupp , Johanna Nellen , Erika Ábrahám

We describe a method of model checking called Computing Range Reduction (CRR). The CRR method is based on derivation of clauses that reduce the set of traces of reachable states in such a way that at least one counterexample remains (if…

Logic in Computer Science · Computer Science 2014-10-14 Eugene Goldberg , Panagiotis Manolios

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

In the early two-thousands, Recursive Petri nets have been introduced in order to model distributed planning of multi-agent systems for which counters and recursivity were necessary. Although Recursive Petri nets strictly extend Petri nets…

Logic in Computer Science · Computer Science 2023-06-22 Alain Finkel , Serge Haddad , Igor Khmelnitsky
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