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These lecture notes concern the basics of the theory of process behaviour. First the concept of a (labelled) transition system receives ample treatment and then the following issues concerning process behaviour are elaborated in the setting…

Logic in Computer Science · Computer Science 2016-10-06 C. A. Middelburg

Step net bisimilarity \cite{Gor23} is a truly concurrent behavioral equivalence for finite Petri nets, which is defined as a smooth generalization of standard step bisimilarity \cite{NT84} on Petri nets, but with the property of relating…

Logic in Computer Science · Computer Science 2023-01-31 Roberto Gorrieri

We recently proposed an approach for the specification and modular formal verification of the interactive (I/O) behavior of programs, based on an embedding of Petri nets into separation logic. While this approach is scalable and modular in…

Logic in Computer Science · Computer Science 2019-01-31 Willem Penninckx , Amin Timany , Bart Jacobs

Numerous tasks in program analysis and synthesis reduce to deciding reachability in possibly infinite graphs such as those induced by Petri nets. However, the Petri net reachability problem has recently been shown to require non-elementary…

Logic in Computer Science · Computer Science 2020-10-16 Michael Blondin , Christoph Haase , Philip Offtermatt

This paper presents a theory of systemic undecidability, reframing incomputability as a structural property of systems rather than a localized feature of specific functions or problems. We define a notion of causal embedding and prove a…

Logic in Computer Science · Computer Science 2025-09-03 Seth Bulin

We study the control of networked systems with the goal of optimizing both transient and steady-state performances while providing stability guarantees. Linear proportional-integral (PI) controllers are almost always used in practice, but…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

The paper is devoted to a mathematical model of concurrency the special case of which is asynchronous system. Distributed asynchronous automata are introduced here. It is proved that the Petri nets and transition systems with independence…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-15 Ahmet A. Husainov , Ekaterina S. Kudryashova

The paper studies dynamic information flow security policies in an automaton-based model. Two semantic interpretations of such policies are developed, both of which generalize the notion of TA-security [van der Meyden ESORICS 2007] for…

Cryptography and Security · Computer Science 2016-01-21 Sebastian Eggert , Ron van der Meyden

In the popular solution-diffusion picture, the membrane permeability is defined as the product of the partition ratio and the diffusivity of penetrating solutes inside the membrane in the linear response regime, i.e., in equilibrium.…

Soft Condensed Matter · Physics 2022-08-25 Won Kyu Kim , Sebastian Milster , Rafael Roa , Matej Kanduč , Joachim Dzubiella

Transactional memory promises to make concurrent programming tractable and efficient by allowing the user to assemble sequences of actions in atomic transactions with all-or-nothing semantics. It is believed that, by its very virtue,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-15 Petr Kuznetsov , Sathya Peri

We propose a framework for reasoning about unbounded dynamic networks of infinite-state processes. We propose Constrained Petri Nets (CPN) as generic models for these networks. They can be seen as Petri nets where tokens (representing…

Logic in Computer Science · Computer Science 2015-07-01 Ahmed Bouajjani , Cezara Dragoi , Constantin Enea , Yan Jurski , Mihaela Sighireanu

In this paper, we investigate the enforcement of opacity via supervisory control in the context of discrete-event systems. A system is said to be opaque if the intruder, which is modeled as a passive observer, can never infer confidently…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Yifan Xie , Xiang Yin , Shaoyuan Li

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

In the setting of Petri nets, we prove that {\em causal-net bisimilarity} \cite{G15,Gor22,Gor25a}, which is a refinement of history-preserving bisimilarity \cite{RT88,vGG89,DDM89}, and the novel {\em hereditary} causal-net bisimilarity,…

Logic in Computer Science · Computer Science 2025-06-16 Roberto Gorrieri , Ivan Lanese

The ordinary time-dependent perturbation theory of quantum mechanics, that describes the interaction of a stationary system with a time-dependent perturbation, predicts that the transition probabilities induced by the perturbation are…

Quantum Physics · Physics 2017-10-11 S. Longhi , G. Della Valle

Various controllability conditions have been obtained by researchers for heterogeneous networked systems with linear dynamics. However, the literature for nonlinear, heterogeneous networked systems is comparatively less. In this paper we…

Optimization and Control · Mathematics 2024-12-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

Taking an interaction network oriented perspective in informatics raises the challenge to describe deterministic finite systems which take part in networks of nondeterministic interactions. The traditional approach to describe processes as…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-22 Johannes Reich

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 formalise a general concept of distributed systems as sequential components interacting asynchronously. We define a corresponding class of Petri nets, called LSGA nets, and precisely characterise those system specifications which can be…

Logic in Computer Science · Computer Science 2015-07-01 Rob J. van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

Recent AI systems compress the distance between capability growth and capability deployment. Earlier high-risk technologies were slowed by capital intensity, physical bottlenecks, organizational inertia, and specialized supply chains. By…

Artificial Intelligence · Computer Science 2026-05-05 Wesley Shu , Peng Wei